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Artykuły w czasopismach na temat „Interacting Bosons (two Spin State)”

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Data publikacji: 7 września 2023

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1

Quintero Angulo, G., A. Pérez Martínez, H. Pérez Rojas, and D. Manreza Paret. "(Self-)Magnetized Bose–Einstein condensate stars." International Journal of Modern Physics D 28, no. 10 (2019): 1950135. http://dx.doi.org/10.1142/s0218271819501359.

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We study magnetic field effects on the Equations-of-State (EoS) and the structure of Bose–Einstein Condensate (BEC) stars, i.e. a compact object composed by a gas of interacting spin-one bosons formed up by the pairing of two neutrons. To include the magnetic field in the thermodynamic description, we assume that particle–magnetic field and particle–particle interactions are independent. We consider two configurations for the magnetic field: one where it is constant and externally fixed, and another where it is produced by the bosons through self-magnetization. Stable configurations of self-ma

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2

Hamber, Herbert W., and Reiko Toriumi. "Composite leptons at the LHC." Modern Physics Letters A 29, no. 07 (2014): 1450034. http://dx.doi.org/10.1142/s0217732314500345.

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In some models of electroweak interactions the W and Z bosons are considered composites, made up of spin-[Formula: see text] subconstituents. In these models a spin-0 counterpart of the W and Z boson naturally appears, whose higher mass can be attributed to a particular type of hyperfine spin interaction among the various subconstituents. Recently, it has been argued that the scalar state could be identified with the newly discovered Higgs (H) candidate. Here, we use the known spin splitting between the W/Z and H states to infer, within the framework of a purely phenomenological model, the rel

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3

Ozansoy, A., V. Arı, and V. Çetinkaya. "Search for Excited Spin-3/2 Neutrinos at LHeC." Advances in High Energy Physics 2016 (2016): 1–10. http://dx.doi.org/10.1155/2016/1739027.

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We study the potential of the nextepcollider, namely, LHeC, with two optionss=1.3 TeV ands=1.98 TeV, to search for excited spin-1/2 and spin-3/2 neutrinos. We calculate the single production cross-section of excited spin-1/2 and spin-3/2 neutrinos according to their effective currents describing their interactions between gauge bosons and SM leptons. We choose theν⋆→eWdecay mode of excited neutrinos andW→jjdecay mode ofW-boson for the analysis. We put some kinematical cuts for the final state detectable particles and plot the invariant mass distributions for signal and the corresponding backgr

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YANG, ZHENWEI, JIANPING CHENG, and XIANGMING SUN. "SPIN INTERACTION EFFECTS ON MOMENTUM CORRELATIONS FOR IDENTICAL FERMIONS EMITTED IN RELATIVISTIC HEAVY-ION COLLISIONS." Modern Physics Letters A 22, no. 02 (2007): 131–39. http://dx.doi.org/10.1142/s0217732307020920.

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The Hanbury-Brown and Twiss (HBT) effects predict a Bose–Einstein enhancement of the two-particle momentum correlations of identical bosons at small relative momentum. However, the parallel momentum correlations between identical fermions are less argued. The momentum correlations can be altered by many factors, among which the spin interaction effects are discussed in this paper. It is found that the spin interaction plays an important role on the momentum correlations of identical fermions. For spin triplet state, a full Fermi–Dirac suppression represents as expected. On the contrary, a fake

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5

VORRATH, TILL, TOBIAS BRANDES, and BERNHARD KRAMER. "DYNAMICS OF A LARGE-SPIN-BOSON SYSTEM IN THE STRONG COUPLING REGIME." International Journal of Modern Physics B 17, no. 28 (2003): 5489–93. http://dx.doi.org/10.1142/s0217979203020624.

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We investigate collective effects of an ensemble of biased two-level systems interacting with a bosonic bath in the strong coupling regime. The two level systems are described by a large pseudo-spin J. An equation for the expectation value M(t) of the z-component of the pseudo spin is derived and solved numerically for an ohmic bath at T=0. In case of a large cut-off frequency of the spectral function, a Markov approximation is justified and an analytical solution is presented. We find that M(t) relaxes towards a highly correlated state with maximum value ±J for large times. However, this rela

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6

LEMKE, E. H. "PHOTOPRODUCTION OF WEAK VECTOR BOSONS IN A SPINOR THEORY." International Journal of Modern Physics A 08, no. 22 (1993): 3883–908. http://dx.doi.org/10.1142/s0217751x93001570.

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We put forward the hypothesis that the weak W boson be a compound of two 2-component Lorentz spinors. The resulting novel γWW vertex is no gauge field structure. Nevertheless, the Born amplitude of γγ→WLWL respects partial-wave unitarity. As in the Yang-Mills case, the amplitude consists of a direct term, a crossed term, and a sea-gull term, and no unobserved particles are to be involved to get the “good” high-energy behavior. This is due to an imaginary pseudoscalar γWW interaction term. Significant differences between angular distributions and total cross sections of the non-Abelian case and

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7

KOTA, V. K. B. "TWO-BODY ENSEMBLES WITH GROUP SYMMETRIES FOR CHAOS AND REGULAR STRUCTURES." International Journal of Modern Physics E 15, no. 08 (2006): 1869–83. http://dx.doi.org/10.1142/s0218301306005241.

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The simplest of the two-body random matrix ensembles (TBRE) is the embedded Gaussian orthogonal ensemble of two-body interactions [EGOE(2)] for spinless fermion systems. With m fermions in N single particle states, EGOE(2) and similarly EGUE(2) [the embedded Gaussian unitary ensemble] are generated by the SU(N) algebra. For these ensembles results, obtained using SU(N) Wigner-Racah algebra, for lower order cross correlations between spectra with different particle numbers are given. For fermions with spin degree of freedom one has EGOE(2)-s and similarly EGUE(2)-s, both generated by U(2Ω) ⊃ U(

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8

BARENTZEN, HEINZ, and VIKTOR OUDOVENKO. "A SELF-CONSISTENT ANALYTIC THEORY OF THE SPIN BIPOLARON IN THE t–J MODEL." International Journal of Modern Physics B 14, no. 08 (2000): 809–35. http://dx.doi.org/10.1142/s0217979200000674.

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The spin bipolaron in the t–J model, i.e., two holes interacting with an antiferromagnetic spin background, is treated by an extension of the self-consistent Born approximation (SCBA), which has proved to be very accurate in the single-hole (spin polaron) problem. One of the main ingredients of our approach is the exact form of the bipolaron eigenstates in terms of a complete set of two-hole basis vectors. This enables us to eliminate the hole operators and to obtain the eigenvalue problem solely in terms of the boson (magnon) operators. The eigenvalue equation is then solved by a procedure si

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9

ADLER, STEPHEN L. "FERMION-SECTOR FRUSTRATED SU(4) AS A PREONIC PRECURSOR OF THE STANDARD MODEL." International Journal of Modern Physics A 14, no. 12 (1999): 1911–34. http://dx.doi.org/10.1142/s0217751x99000968.

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We give a model for composite quarks and leptons based on the semisimple gauge group SU(4), with the preons in the 10 representation; this choice of gauge gluon and preon multiplets is motivated by the possibility of embedding them in an N=6 supergravity multiplet, with the preons and antipreons both in the 20 of SU(6). Hypercolor singlets are forbidden in the fermionic sector of this theory; we propose that the SU(4) symmetry spontaneously breaks to SU (3)× U (1), with the binding of triality nonzero preons and gluons into composites, and with the formation of a color singlet condensate that

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10

Winterberg, F. "Substratum Approach to a Unified Theory of Elementary Particles." Zeitschrift für Naturforschung A 43, no. 12 (1988): 1131–50. http://dx.doi.org/10.1515/zna-1988-1219.

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If special relativity is a dynamic symmetry caused by true physical deformations of bodies in absolute motion through a substratum or ether, the question if all interactions and elementary particles arc excitations of this ether must be raised. The ether being the cause of all the observed relativistic effects should then obey an exactly nonrelativistic law of motion, and which permits it to consist of positive and negative masses. The fundamental constants of nature, which according to Planck are 1) Newton's constant (G), 2) the velocity of light (c) and 3) Planck’s constant (ћ), suggest that

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11

Kalaga, Joanna K., Wiesław Leoński, and Radosław Szczęśniak. "Quantum steering in an asymmetric chain of nonlinear oscillators." Photonics Letters of Poland 9, no. 3 (2017): 97. http://dx.doi.org/10.4302/plp.v9i3.759.

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We discuss here a possibility of generation of steerable states in asymmetric chains comprising three Kerr-like nonlinear oscillators. We show that steering between modes can be generated in the system and it strongly depends on the asymmetry of internal couplings in our model. We can lead to the appearance of new steering effects, which were not present in symmetric models already studied in the literature. Full Text: PDF ReferencesE. Schrödinger, "Discussion of Probability Relations between Separated Systems", Math. Proc. Camb. Phil. Soc. 31, 555 (1935). CrossRef M.D. Reid, "Demonstration of

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12

GNANAPRAGASAM, G., and M. P. DAS. "COLLECTIVE MODES OF TRAPPED INTERACTING BOSONS." International Journal of Modern Physics B 22, no. 25n26 (2008): 4349–57. http://dx.doi.org/10.1142/s0217979208050103.

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The derivation for collective modes of an interacting Bose gas trapped by an isotropic harmonic oscillator potential is presented using field-theoretic method. The presence of the two-body scattering term beyond the mean-field is seen to appear inevitably in the calculations, even in the simplest approximation. As a result we see the occurrence of a small number of non-condensate atoms in the ground state density fluctuations.

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13

Thang, Nguyen Toan, and Pham Thi Thanh Nga. "Supersolids of Hard Core - Bosons on a Triangular Lattice." Communications in Physics 21, no. 4 (2011): 301. http://dx.doi.org/10.15625/0868-3166/21/4/361.

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We study the boson model on a triangular lattice interacting only via on-site hardcore repulsion by mapping to a system of spins $(S = 1/2)$. We investigate the supersolid phase of the systems which is a state matter displaying both diagonal long- range (solid) order as well as off-diagonal long-range (superfluidity) by utilizing a semionic representation for the spin-XXZ model. We show that the supersolid order is stable in the mean-field theory for a broad region of parameters. The inclusion of spin wave corrections modifies this picture, but the supersolid phase is still quite robust on the

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14

Schlottmann, P. "Mixture of interacting supersymmetric spinless fermions and bosons in a one-dimensional trap." Modern Physics Letters B 30, no. 25 (2016): 1630007. http://dx.doi.org/10.1142/s0217984916300076.

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We consider a gas mixture consisting of spinless fermions and bosons in one dimension interacting via a repulsive [Formula: see text]-function potential. Bosons and fermions are assumed to have equal masses and the interaction strength between bosons and among bosons and fermions is the same. Using the Bethe ansatz solution of the model, we study the ground state properties, the dressed energy potentials for the two bands of rapidities, the elementary particle and hole excitations, the thermodynamics, the finite size corrections to the ground state energy leading to the conformal towers, and t

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15

ZHAI, HUI. "SPIN-ORBIT COUPLED QUANTUM GASES." International Journal of Modern Physics B 26, no. 01 (2012): 1230001. http://dx.doi.org/10.1142/s0217979212300010.

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In this review we will discuss the experimental and theoretical progresses in studying spin–orbit coupled degenerate atomic gases during the last two years. We shall first review a series of pioneering experiments in generating synthetic gauge potentials and spin–orbit coupling in atomic gases by engineering atom-light interaction. Realization of spin–orbit coupled quantum gases opens a new avenue in cold atom physics, and also brings out a lot of new physical problems. In particular, the interplay between spin–orbit coupling and inter-atomic interaction leads to many intriguing phenomena. By

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16

Qin, Yan, and Sheng-Chang Li. "Quantum phase transition of a modified spin-boson model." Journal of Physics A: Mathematical and Theoretical 55, no. 14 (2022): 145301. http://dx.doi.org/10.1088/1751-8121/ac5507.

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Abstract We adopt a modified spin-boson model to investigate the quantum phase transition in an ultracold atom-molecule conversion system involving molecule–molecule interaction. We explore the properties of ground state, entanglement entropy, and many-body dynamics, which confirm that the system exhibits a second-order phase transition from a pure atom phase to a mixed atom-molecule phase when the energy detuning is below a critical value. We obtain three scaling laws and the corresponding two critical exponents to characterize the phase transition. In particular, we discuss the effects of bo

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17

Strepparola, E., and M. P. Tosi. "Static and Dynamic Properties of a Two-Dimensional Charged Bose Fluid." Modern Physics Letters B 12, no. 12 (1998): 459–65. http://dx.doi.org/10.1142/s0217984998000561.

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A complete solution of the Singwi–Tosi–Land–Sjölander approximation is given for the ground state and the elementary excitations of a fluid of charged bosons interacting via the two-dimensional ln (r) Coulomb potential at arbitrarily large coupling strength r s . The results are used to discuss the limitations of a static-mean-field approach in such a strongly correlated system.

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18

Andres, Beatrice, Martin Weinelt, Hubert Ebert, Jürgen Braun, Alex Aperis, and Peter M. Oppeneer. "Strong momentum-dependent electron–magnon renormalization of a surface resonance on iron." Applied Physics Letters 120, no. 20 (2022): 202404. http://dx.doi.org/10.1063/5.0089688.

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The coupling of electrons to spin excitations and the generation of magnons is essential for spin mixing in the ultrafast magnetization dynamics of 3 d ferromagnets. Although magnon energies are generally much larger than phonon energies, until now their electronic band renormalization effect in 3 d ferromagnets suggests a significantly weaker quasiparticle interaction. Using spin- and angle-resolved photoemission, we show an extraordinarily strong renormalization leading to two-branch splitting of an iron surface resonance at ∼200 meV. Its strong magnetic linear dichroism unveils the magnetic

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19

SAZDJIAN, H. "THE MASSLESS BOUND STATE FORMALISM IN TWO-PARTICLE RELATIVISTIC QUANTUM MECHANICS." International Journal of Modern Physics A 03, no. 05 (1988): 1235–61. http://dx.doi.org/10.1142/s0217751x88000539.

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We develop, in the framework of two-particle relativistic quantum mechanics, the formalism needed to describe massless bound state systems and their internal dynamics. It turns out that the dynamics here is two-dimensional, besides the contribution of the spin degrees of freedom, provided by the two space-like transverse components of the relative coordinate four-vector, decomposed in an appropriate light cone basis. This is in contrast with the massive bound state case, where the dynamics is three-dimensional. We also construct the scalar product of the theory. We apply this formalism to seve

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20

Benenti, Giuliano, Gaëtan Caldara, and Dima L. Shepelyansky. "Spin-Polarized Ground State for Interacting Electrons in Two Dimensions." Physical Review Letters 86, no. 23 (2001): 5333–36. http://dx.doi.org/10.1103/physrevlett.86.5333.

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21

Mazuz-Harpaz, Yotam, Kobi Cohen, Michael Leveson, et al. "Dynamical formation of a strongly correlated dark condensate of dipolar excitons." Proceedings of the National Academy of Sciences 116, no. 37 (2019): 18328–33. http://dx.doi.org/10.1073/pnas.1903374116.

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Strongly interacting bosons display a rich variety of quantum phases, the study of which has so far been focused in the dilute regime, at a fixed number of particles. Here we demonstrate the formation of a dense Bose–Einstein condensate in a long-lived dark spin state of 2D dipolar excitons. A dark condensate of weakly interacting excitons is very fragile, being unstable against a coherent coupling of dark and bright spin states. Remarkably, we find that strong dipole–dipole interactions stabilize the dark condensate. As a result, the dark phase persists up to densities high enough for a dark

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22

MAMEDOV, T. A., and M. DE LLANO. "LOWERING OF BOSON-FERMION SYSTEM ENERGY WITH A GAPPED COOPER RESONANT-PAIR DISPERSION RELATION." International Journal of Modern Physics B 21, no. 13n14 (2007): 2335–47. http://dx.doi.org/10.1142/s0217979207043701.

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Applying two-time Green-function techniques to the Friedberg-T.D. Lee phenomenological Hamiltonian of a many-fermion system, it is shown that positive-energy resonant bosonic pairs associated with four-fermion excitations above the Fermi sea are energetically lower in a ground-state that is a mixture of two coexisting and dynamically interacting many-particle subsystems: a) unpaired fermions and b) composite bosons. It is argued that an interaction between free fermions and bosons excited above the Fermi sea in the mixture, namely, the continuous processes of pair-formation from, and disintegr

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23

Schlottmann, P. "Threshold singularities in the one-dimensional supersymmetric boson–fermion gas mixture." International Journal of Modern Physics B 32, no. 21 (2018): 1850221. http://dx.doi.org/10.1142/s0217979218502211.

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A one-dimensional gas mixture consisting of bosons and fermions without spin interacting via a repulsive [Formula: see text]-function potential is considered. The model is integrable and soluble via two nested Bethe ansatz, if all particles are assumed to have equal masses and the interaction strength between the bosons and among the bosons and fermions is the same. The low energy excitation spectrum is a two-component Luttinger liquid and can be parametrized by a conformal field theory with conformal charges c = 1. In the low-energy limit, where the band curvature terms in the dispersion can

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24

BESPROSVANY, J. "ELECTROWEAKLY INTERACTING SCALAR AND GAUGE BOSONS, AND LEPTONS, FROM FIELD EQUATIONS ON SPIN (5+1)-DIMENSIONAL SPACE." International Journal of Modern Physics A 20, no. 01 (2005): 77–93. http://dx.doi.org/10.1142/s0217751x05019610.

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Unification ideas motivate the formulation of field equations on an extended matrix-spin space. Demanding that the Poincaré symmetry be maintained, one derives scalar symmetries that are associated with flavor and gauge groups. Boson and fermion solutions are obtained with a fixed representation. A field theory can be equivalently written and interpreted in terms of elements of such a space and is similarly constrained. At 5+1 dimensions, one obtains isospin and hypercharge SU (2)L× U (1) symmetries, their vector carriers, two-flavor charged and chargeless leptons, and scalar particles. Mass t

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25

LIU, YU-LIANG. "APPLICATION OF EIGENFUNCTIONAL THEORY ON QUANTUM MANY-PARTICLE SYSTEMS." International Journal of Modern Physics B 16, no. 27 (2002): 4127–63. http://dx.doi.org/10.1142/s0217979202014693.

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We first introduce the basic ingredients of the eigenfunctional theory, and show that a D-dimensional quantum many-particle system is mapped into a (D+1)-dimensional time-depending single-particle problem, and in the representation of the eigenfunctionals of the particle propagator, the particles become free. Then using this method, we study five kinds of quantum many-particle systems: interacting boson system, repulsive, attractive interacting fermion systems, Hubbard model and single-impurity scattering in one-dimensional fermion system, and demonstrate that the microscopic Bogoliubov theory

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26

RIGOL, MARCOS, and ALEJANDRO MURAMATSU. "FREE EXPANSION OF IMPENETRABLE BOSONS ON ONE-DIMENSIONAL OPTICAL LATTICES." Modern Physics Letters B 19, no. 18 (2005): 861–81. http://dx.doi.org/10.1142/s0217984905008876.

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We review recent exact results for the free expansion of impenetrable bosons on one-dimensional lattices, after switching off a confining potential. When the system is initially in a superfluid state, far from the regime in which the Mott-insulator appears in the middle of the trap, the momentum distribution of the expanding bosons rapidly approaches the momentum distribution of non-interacting fermions. Remarkably, no loss in coherence is observed in the system as reflected by a large occupation of the lowest eigenstate of the one-particle density matrix. In the opposite limit, when the initi

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27

Pelayo, J. C., and D. M. Yanga. "Linked cluster theory in the spin polaron problem." International Journal of Modern Physics B 33, no. 07 (2019): 1950044. http://dx.doi.org/10.1142/s0217979219500449.

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The Linked Cluster Theory in the spin polaron formulation is investigated in this paper using the finite temperature (Matsubara) Green’s function method. We use a representation where holes and spins are described as spinless fermions and normal bosons, respectively. An analytic expression of the thermodynamic potential of high-temperature superconductors in the superconducting state was obtained using the Linked Cluster theory and an expression for its normal state by setting the energy gap to zero. The expression of the thermodynamic potential enabled us to calculate two bulk thermodynamic p

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28

Ciardi, Matteo, Tommaso Macrì, and Fabio Cinti. "Zonal Estimators for Quasiperiodic Bosonic Many-Body Phases." Entropy 24, no. 2 (2022): 265. http://dx.doi.org/10.3390/e24020265.

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In this work, we explore the relevant methodology for the investigation of interacting systems with contact interactions, and we introduce a class of zonal estimators for path-integral Monte Carlo methods, designed to provide physical information about limited regions of inhomogeneous systems. We demonstrate the usefulness of zonal estimators by their application to a system of trapped bosons in a quasiperiodic potential in two dimensions, focusing on finite temperature properties across a wide range of values of the potential. Finally, we comment on the generalization of such estimators to lo

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SEIRINGER, ROBERT. "A CORRELATION ESTIMATE FOR QUANTUM MANY-BODY SYSTEMS AT POSITIVE TEMPERATURE." Reviews in Mathematical Physics 18, no. 03 (2006): 233–53. http://dx.doi.org/10.1142/s0129055x06002632.

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We present an inequality that gives a lower bound on the expectation value of certain two-body interaction potentials in a general state on Fock space in terms of the corresponding expectation value for thermal equilibrium states of non-interacting systems and the difference in the free energy. This bound can be viewed as a rigorous version of first-order perturbation theory for many-body systems at positive temperature. As an application, we give a proof of the first two terms in a high density (and high temperature) expansion of the free energy of jellium with Coulomb interactions, both in t

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Gerlich, D., F. Windisch, P. Hlavenka, R. Plašil, and J. Glosik. "Dynamical constraints and nuclear spin caused restrictions in collision systems." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 364, no. 1848 (2006): 3007–34. http://dx.doi.org/10.1098/rsta.2006.1865.

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This contribution summarizes a variety of results and ongoing activities, which contribute to our understanding of inelastic and reactive collisions involving hydrogen ions. In an overview of our present theoretical knowledge of various collision systems ( m + n ≤5), it is emphasized that although the required potential energy surfaces are well characterized, no detailed treatments of the collision dynamics are available to date, especially at the low energies required for astrochemistry. Instead of treating state-to-state dynamics with state of the art methods, predictions are still based on:

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31

Lode, Axel U. J., Sunayana Dutta, and Camille Lévêque. "Dynamics of Ultracold Bosons in Artificial Gauge Fields—Angular Momentum, Fragmentation, and the Variance of Entropy." Entropy 23, no. 4 (2021): 392. http://dx.doi.org/10.3390/e23040392.

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We consider the dynamics of two-dimensional interacting ultracold bosons triggered by suddenly switching on an artificial gauge field. The system is initialized in the ground state of a harmonic trapping potential. As a function of the strength of the applied artificial gauge field, we analyze the emergent dynamics by monitoring the angular momentum, the fragmentation as well as the entropy and variance of the entropy of absorption or single-shot images. We solve the underlying time-dependent many-boson Schrödinger equation using the multiconfigurational time-dependent Hartree method for indis

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CHAUDHARY, G. K., AMIT K. CHATTOPADHYAY, and R. RAMAKUMAR. "BOSE–EINSTEIN CONDENSATE IN A QUARTIC POTENTIAL: STATIC AND DYNAMIC PROPERTIES." International Journal of Modern Physics B 25, no. 29 (2011): 3927–40. http://dx.doi.org/10.1142/s0217979211101855.

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In this paper, we present a theoretical study of a Bose–Einstein condensate of interacting bosons in a quartic trap in one-, two- and three-dimensions. Using Thomas–Fermi approximation, suitably complemented by numerical solutions of the Gross–Pitaevskii equation, we study the ground-state condensate density profiles, the chemical potential, the effects of cross-terms in the quartic potential, temporal evolution of various energy components of the condensate and width oscillations of the condensate. Results obtained are compared with corresponding results for a bose condensate in a harmonic co

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Alon, Ofir E. "Solvable Model of a Generic Driven Mixture of Trapped Bose–Einstein Condensates and Properties of a Many-Boson Floquet State at the Limit of an Infinite Number of Particles." Entropy 22, no. 12 (2020): 1342. http://dx.doi.org/10.3390/e22121342.

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A solvable model of a periodically driven trapped mixture of Bose–Einstein condensates, consisting of N1 interacting bosons of mass m1 driven by a force of amplitude fL,1 and N2 interacting bosons of mass m2 driven by a force of amplitude fL,2, is presented. The model generalizes the harmonic-interaction model for mixtures to the time-dependent domain. The resulting many-particle ground Floquet wavefunction and quasienergy, as well as the time-dependent densities and reduced density matrices, are prescribed explicitly and analyzed at the many-body and mean-field levels of theory for finite sys

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Kaplan, Ilya G. "Modern State of the Pauli Exclusion Principle and the Problems of Its Theoretical Foundation." Symmetry 13, no. 1 (2020): 21. http://dx.doi.org/10.3390/sym13010021.

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The Pauli exclusion principle (PEP) can be considered from two aspects. First, it asserts that particles that have half-integer spin (fermions) are described by antisymmetric wave functions, and particles that have integer spin (bosons) are described by symmetric wave functions. It is called spin-statistics connection (SSC). The physical reasons why SSC exists are still unknown. On the other hand, PEP is not reduced to SSC and can be consider from another aspect, according to it, the permutation symmetry of the total wave function can be only of two types: symmetric or antisymmetric. They both

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35

Barr, Alan J., Paweł Caban, and Jakub Rembieliński. "Bell-type inequalities for systems of relativistic vector bosons." Quantum 7 (July 27, 2023): 1070. http://dx.doi.org/10.22331/q-2023-07-27-1070.

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We perform a detailed analysis of the possible violation of various Bell-type inequalities for systems of vector boson-antiboson pairs. Considering the general case of an overall scalar state of the bipartite system, we identify two distinct classes of such states, and determine the joint probabilities of spin measurement outcomes for each them. We calculate the expectation values of the CHSH, Mermin and CGLMP inequalities and find that while the generalised CHSH inequality is not expected to be violated for any of the scalar states, in the case of the Mermin and CGLMP inequalities the situati

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36

Aouachria, Mekki. "Exact spin coherent state path integral for a two-level atom in gravitational fields." Canadian Journal of Physics 89, no. 11 (2011): 1141–48. http://dx.doi.org/10.1139/p11-108.

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The movement of a two-level atom interacting with an electromagnetic wave while subject to gravity is studied using path-integral formalism. The propagator is first written in a standard form, ∫[Formula: see text](path) exp(i/ℏ)S(path), by replacing the spin with a unit vector aligned along the polar and azimuthal directions to determine the propagator exactly. Thus, the exact wave functions of the system are deduced.

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Pasechnik, Roman, Vitaly Beylin, Vladimir Kuksa, and Grigory Vereshkov. "Composite scalar dark matter from vector-like SU(2) confinement." International Journal of Modern Physics A 31, no. 08 (2016): 1650036. http://dx.doi.org/10.1142/s0217751x16500366.

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A toy-model with [Formula: see text] dynamics confined at high scales [Formula: see text] enables to construct Dirac UV completion from the original chiral multiplets predicting a vector-like nature of their weak interactions consistent with electroweak precision tests. In this work, we investigate a potential of the lightest scalar baryon-like (T-baryon) state [Formula: see text] with mass [Formula: see text] predicted by the simplest two-flavor vector-like confinement model as a dark matter (DM) candidate. We show that two different scenarios with the T-baryon relic abundance formation befor

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38

Суханов, А. А., та В. А. Сабликов. "Спиновые состояния электронов в двойной квантовой точке в двумерном топологическом изоляторе со спин-орбитальным взаимодействием". Физика и техника полупроводников 53, № 9 (2019): 1257. http://dx.doi.org/10.21883/ftp.2019.09.48134.17.

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AbstractThe spectra and spin structure of the states of two interacting electrons localized in a double quantum dot in a two-dimensional topological insulator with spin-orbit interaction are investigated. It is found that, in such a system, a singlet-triplet transition in the ground state without a magnetic field can be implemented. Spin-orbit interaction leads to the splitting of polarized triplet levels and to anticrossing, when one of them crosses the singlet.

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39

Schäfer, Frank, Miguel A. Bastarrachea-Magnani, Axel U. J. Lode, Laurent de Forges de Parny, and Andreas Buchleitner. "Spectral Structure and Many-Body Dynamics of Ultracold Bosons in a Double-Well." Entropy 22, no. 4 (2020): 382. http://dx.doi.org/10.3390/e22040382.

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We examine the spectral structure and many-body dynamics of two and three repulsively interacting bosons trapped in a one-dimensional double-well, for variable barrier height, inter-particle interaction strength, and initial conditions. By exact diagonalization of the many-particle Hamiltonian, we specifically explore the dynamical behavior of the particles launched either at the single-particle ground state or saddle-point energy, in a time-independent potential. We complement these results by a characterization of the cross-over from diabatic to quasi-adiabatic evolution under finite-time sw

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40

Arhrib, Abdesslam, Adil Jueid, and Stefano Moretti. "Searching for heavy charged Higgs bosons through top quark polarization." International Journal of Modern Physics A 35, no. 15n16 (2020): 2041011. http://dx.doi.org/10.1142/s0217751x20410110.

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We study the production of a heavy charged Higgs boson at the Large Hadron Collider (LHC) in [Formula: see text] within a 2-Higgs Doublet Model (2HDM). The chiral structure of the [Formula: see text] coupling can trigger a particular spin state of the top quark produced in the decay of a charged Higgs boson and, therefore, is sensitive to the underlying mechanism of the Electroweak Symmetry Breaking (EWSB). Taking two benchmark models (2HDM type-I and 2HDM type-Y) as an example, we show that inclusive rates, differential distributions and forward–backward asymmetries of the top quark’s decay p

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41

Mankoč Borštnik, N. S. "Understanding nature with the spin-charge-family theory." International Journal of Modern Physics A 33, no. 31 (2018): 1844027. http://dx.doi.org/10.1142/s0217751x1844027x.

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The spin-charge-family theory, which is a kind of the Kaluza–Klein theories in [Formula: see text] — but with the two kinds of the spin connection fields, the gauge fields of the two Clifford algebra objects, [Formula: see text] and [Formula: see text] — explains all the assumptions of the standard model: The origin of the charges of fermions appearing in one family, the origin and properties of the vector gauge fields of these charges, the origin and properties of the families of fermions, the origin of the scalar fields observed as the Higgs’s scalar and the Yukawa couplings. The theory expl

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42

Amghar, B., and M. Daoud. "Quantum state manifold and geometric, dynamic and topological phases for an interacting two-spin system." International Journal of Geometric Methods in Modern Physics 17, no. 02 (2020): 2050030. http://dx.doi.org/10.1142/s0219887820500309.

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We consider a two-spin system of [Formula: see text] Heisenberg type submitted to an external magnetic field. Using the associated [Formula: see text] geometry, we investigate the dynamics of the system. We explicitly give the corresponding Fubini–Study metric. We show that for arbitrary pure initial states, the dynamics occurs on a torus. We compute the geometric phase, the dynamic phase and the topological phase. We investigate the interplay between the torus geometry and the entanglement of the two spins. In this respect, we provide a detailed analysis of the geometric phase, the dynamics v

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43

Sadiek, Gehad, and Samaher Almalki. "Asymptotic steady state of a dissipative long-range interacting spin system at finite temperature." Physica Scripta 98, no. 9 (2023): 095113. http://dx.doi.org/10.1088/1402-4896/acf010.

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Abstract Many of the recently developed quantum systems that are considered promising candidates for the underlying technology of quantum computing enjoy long-range interaction, which is even tunable in some of them. Most of these systems can be described using the Heisenberg spin model to represent their interaction with the same system or a different one in hybrid structures. We consider here a finite two-dimensional spin system with a varying spin-spin long-range interaction under the effect of an external uniform magnetic field. We investigate the dynamics of the system and its asymptotic

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ALBAYRAK, ERHAN, SEYMA AKKAYA, and SABAN YILMAZ. "SPIN-2 ISING MODEL ON THE BILAYER BETHE LATTICE." International Journal of Modern Physics B 22, no. 24 (2008): 4189–203. http://dx.doi.org/10.1142/s0217979208039599.

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A spin-2 system consisting of two layers of Bethe lattices each with a branching ratio of q Ising spins was analyzed by the use of the exact recursion relations in a pairwise approach. The upper layer interacting with nearest-neighbor (NN) bilinear interaction J1 is laid over the top of the lower layer interacting with bilinear NN interaction J2, and the two layers are tied together via the bilinear interaction between the vertically aligned adjacent NN spins denoted as J3. The study of the ground state phase diagrams on the (J2/|J3|, J1/|J3|) plane with J3>0 and J3<0 and on the (J2/J1,

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45

Maiti, Debasmita, Dayasindhu Dey, and Manoranjan Kumar. "Study of Interacting Heisenberg Antiferromagnet Spin-1/2 and 1 Chains." Condensed Matter 8, no. 1 (2023): 17. http://dx.doi.org/10.3390/condmat8010017.

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Haldane conjectures the fundamental difference in the energy spectrum of the Heisenberg antiferromagnetic (HAF) of the spin S chain is that the half-integer and the integer S chain have gapless and gapped energy spectrums, respectively. The ground state (gs) of the HAF spin-1/2 and spin-1 chains have a quasi-long-range and short-range correlation, respectively. We study the effect of the exchange interaction between an HAF spin-1/2 and an HAF spin-1 chain forming a normal ladder system and its gs properties. The inter-chain exchange interaction J⊥ can be either ferromagnetic (FM) or antiferrom

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46

Nisperuza, J., J. P. Rubio, and R. Avella. "Density probabilities of a Bose-Fermi mixture in 1D double well potential." Journal of Physics Communications 6, no. 2 (2022): 025004. http://dx.doi.org/10.1088/2399-6528/ac4faf.

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Abstract We use the two mode approximation for a interacting one-dimensional spinless soft core bosons and one half spin fermions in a double-well potential with a large central barrier. We include all the on-site boson-boson, fermion-fermion and boson-fermion repulsive contact potential represented by delta-function and considered bosonic and fermionic isotopes of ytterbium(Yb) 170 Yb and 171 Yb respectively. By means of this approximation, we find that in the regime λ BF > λ BB give rise to a immiscible phase and in the regime λ BB ≥ λ BF give rise to a miscible phase, that is characteriz

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47

ZUCCHI, Maria R., Otaciro R. NASCIMENTO, Adelaide FALJONI-ALARIO, Tatiana PRIETO, and Iseli L. NANTES. "Modulation of cytochrome c spin states by lipid acyl chains: a continuous-wave electron paramagnetic resonance (CW-EPR) study of haem iron." Biochemical Journal 370, no. 2 (2003): 671–78. http://dx.doi.org/10.1042/bj20021521.

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This work is a systematic study, showing a clear correlation between the nature of the lipid acyl chain and the spin states of cytochrome c interacting with different types of lipid membranes. According to the lipid acyl chain type, and the head group charge present in the bilayer, three spin states of cytochrome c were observed in different proportions: the native cytochrome c low spin state with rhombic symmetry (spin 1/2, g//=3.07 and g⊥=2.23), a low spin state with less rhombic symmetry (spin 1/2, g1 = 2.902, g2 = 2.225, and g3 = 1.510) and the high spin state (spin 5/2, g// = 6.0 and g⊥ =

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48

Liñares, Jesús, Xesús Prieto-Blanco, Gabriel M. Carral, and María C. Nistal. "Quantum Photonic Simulation of Spin-Magnetic Field Coupling and Atom-Optical Field Interaction." Applied Sciences 10, no. 24 (2020): 8850. http://dx.doi.org/10.3390/app10248850.

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In this work, we present the physical simulation of the dynamical and topological properties of atom-field quantum interacting systems by means of integrated quantum photonic devices. In particular, we simulate mechanical systems used, for example, for quantum processing and requiring a very complex technology such as a spin-1/2 particle interacting with an external classical time-dependent magnetic field and a two-level atom under the action of an external classical time-dependent electric (optical) field (light-matter interaction). The photonic device consists of integrated optical waveguide

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ZHANG, GUO-FENG. "QUANTUM ENTANGLEMENT IN THE SYSTEM OF TWO SPIN-1/2 PARTICLES WITH HEISENBERG EXCHANGE INTERACTION IN THE PRESENCE OF A SINGLE-MODE VACUUM FIELD." International Journal of Quantum Information 06, no. 03 (2008): 437–46. http://dx.doi.org/10.1142/s0219749908003657.

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The nonclassical properties of two spin-1/2 particles with Heisenberg exchange interaction in a single-mode vacuum field are investigated. By using the quantum reduced entropy, we demonstrate that the ratio ka between Heisenberg exchange interaction constant difference (J - Jz) and the spin-field coupling constant Ω can affect the feature of the entanglement significantly. It is found that the entanglement of the system evolves periodically with time, the evolvement period of the entanglement between two spin-1/2 particles and the field increases with the increasing ka, which is true for the s

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Bonatsos, Dennis, and H. Muether. "Microscopic Calculation of the Optical Model Potential from One Boson Exchange Potentials." HNPS Proceedings 1 (February 18, 2020): 86. http://dx.doi.org/10.12681/hnps.2827.

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A new method for calculating the optical model potential from One Boson Exchange Potentials (OBEPs) is developed. The G-matrix is calculated by solving the Bethe-Goldstone equation in momentum space. Using vector brackets these G-matrix elements can be transformed from the center of mass representation into the laboratory system. This allows the evaluation of the (r-matrix interaction between nucleons in bound states and those in a plane-wave state. The lowest order contribution to the real part of the potential comes from the Hartree-Fock term, while the lowest order contribution to the imagi

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