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Автор: Grafiati

Опубліковано: 14 березня 2023

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1

Alon, Ofir E. "Fragmentation of Identical and Distinguishable Bosons’ Pairs and Natural Geminals of a Trapped Bosonic Mixture." Atoms 9, no. 4 (November 2, 2021): 92. http://dx.doi.org/10.3390/atoms9040092.

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In a mixture of two kinds of identical bosons, there are two types of pairs: identical bosons’ pairs, of either species, and pairs of distinguishable bosons. In the present work, the fragmentation of pairs in a trapped mixture of Bose–Einstein condensates is investigated using a solvable model, the symmetric harmonic-interaction model for mixtures. The natural geminals for pairs made of identical or distinguishable bosons are explicitly contracted by diagonalizing the intra-species and inter-species reduced two-particle density matrices, respectively. Properties of pairs’ fragmentation in the mixture are discussed, the role of the mixture’s center-of-mass and relative center-of-mass coordinates is elucidated, and a generalization to higher-order reduced density matrices is made. As a complementary result, the exact Schmidt decomposition of the wave function of the bosonic mixture is constructed. The entanglement between the two species is governed by the coupling of their individual center-of-mass coordinates, and it does not vanish at the limit of an infinite number of particles where any finite-order intra-species and inter-species reduced density matrix per particle is 100% condensed. Implications are briefly discussed.

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2

Buonsante, P., S. M. Giampaolo, F. Illuminati, V. Penna, and A. Vezzani. "Unconventional quantum phases in lattice bosonic mixtures." European Physical Journal B 68, no. 3 (February 18, 2009): 427–33. http://dx.doi.org/10.1140/epjb/e2009-00056-0.

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3

Souza, Valéria de C., Zochil González Arenas, Daniel G. Barci, and Cesar A. Linhares. "Bosonic binary mixtures with Josephson-type interactions." Physica A: Statistical Mechanics and its Applications 450 (May 2016): 134–47. http://dx.doi.org/10.1016/j.physa.2015.12.146.

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4

Penna, Vittorio, Alessandra Contestabile, and Andrea Richaud. "Ground-State Properties and Phase Separation of Binary Mixtures in Mesoscopic Ring Lattices." Entropy 23, no. 7 (June 28, 2021): 821. http://dx.doi.org/10.3390/e23070821.

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We investigated the spatial phase separation of the two components forming a bosonic mixture distributed in a four-well lattice with a ring geometry. We studied the ground state of this system, described by means of a binary Bose–Hubbard Hamiltonian, by implementing a well-known coherent-state picture which allowed us to find the semi-classical equations determining the distribution of boson components in the ring lattice. Their fully analytic solutions, in the limit of large boson numbers, provide the boson populations at each well as a function of the interspecies interaction and of other significant model parameters, while allowing to reconstruct the non-trivial architecture of the ground-state four-well phase diagram. The comparison with the L-well (L=2,3) phase diagrams highlights how increasing the number of wells considerably modifies the phase diagram structure and the transition mechanism from the full-mixing to the full-demixing phase controlled by the interspecies interaction. Despite the fact that the phase diagrams for L=2,3,4 share various general properties, we show that, unlike attractive binary mixtures, repulsive mixtures do not feature a transition mechanism which can be extended to an arbitrary lattice of size L.

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5

García-March, M. A., B. Juliá-Díaz, G. E. Astrakharchik, Th Busch, J. Boronat, and A. Polls. "Quantum correlations and spatial localization in one-dimensional ultracold bosonic mixtures." New Journal of Physics 16, no. 10 (October 8, 2014): 103004. http://dx.doi.org/10.1088/1367-2630/16/10/103004.

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6

Gorbar, E. V., Y. O. Nikolaieva, I. V. Oleinikova, S. I. Vilchinskii, and A. I. Yakimenko. "s- and p-superfluidity of Fermi atoms in Bose–Fermi mixtures." Low Temperature Physics 48, no. 9 (September 2022): 660–66. http://dx.doi.org/10.1063/10.0013278.

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The p-wave superfluid is characterized by nontrivial topological characteristics essential for fault-tolerant quantum state manipulation. However, the practical realization of the p-wave state remains a challenging problem. We study the s- and p-wave superfluidity in mixtures of fermionic and spinor bosonic gases and derive a general set of the gap equations for these superfluid states. Numerically solving the gap equations for the s-wave state, we quantify the physical conditions for the realization of the pure p-wave state in a well-controlled environment of atomic physics in the absence of an admixture of the s-wave state.

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7

Barman, Apurba, and Saurabh Basu. "Phase diagram of multi-component bosonic mixtures: emergence of mixed superfluid and insulating phases." Journal of Physics B: Atomic, Molecular and Optical Physics 48, no. 5 (January 30, 2015): 055301. http://dx.doi.org/10.1088/0953-4075/48/5/055301.

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8

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 (November 26, 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 systems and at the limit of an infinite number of particles. We prove that the time-dependent densities per particle are given at the limit of an infinite number of particles by their respective mean-field quantities, and that the time-dependent reduced one-particle and two-particle density matrices per particle of the driven mixture are 100% condensed. Interestingly, the quasienergy per particle does not coincide with the mean-field value at this limit, unless the relative center-of-mass coordinate of the two Bose–Einstein condensates is not activated by the driving forces fL,1 and fL,2. As an application, we investigate the imprinting of angular momentum and its fluctuations when steering a Bose–Einstein condensate by an interacting bosonic impurity and the resulting modes of rotations. Whereas the expectation values per particle of the angular-momentum operator for the many-body and mean-field solutions coincide at the limit of an infinite number of particles, the respective fluctuations can differ substantially. The results are analyzed in terms of the transformation properties of the angular-momentum operator under translations and boosts, and as a function of the interactions between the particles. Implications are briefly discussed.

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9

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 (February 1, 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 characterized by a temporal overlap of the bosonic and fermionic probability densities. We also report that due to the Bose-Fermi interaction, the system presents an apparent destruction of the collapse-revival oscillation of boson density probability at least in the ranges investigated.

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10

Scazza, Francesco, Matteo Zaccanti, Pietro Massignan, Meera M. Parish, and Jesper Levinsen. "Repulsive Fermi and Bose Polarons in Quantum Gases." Atoms 10, no. 2 (May 27, 2022): 55. http://dx.doi.org/10.3390/atoms10020055.

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Polaron quasiparticles are formed when a mobile impurity is coupled to the elementary excitations of a many-particle background. In the field of ultracold atoms, the study of the associated impurity problem has attracted a growing interest over the last fifteen years. Polaron quasiparticle properties are essential to our understanding of a variety of paradigmatic quantum many-body systems realized in ultracold atomic gases and in the solid state, from imbalanced Bose–Fermi and Fermi–Fermi mixtures to fermionic Hubbard models. In this topical review, we focus on the so-called repulsive polaron branch, which emerges as an excited many-body state in systems with underlying attractive interactions such as ultracold atomic mixtures, and is characterized by an effective repulsion between the impurity and the surrounding medium. We give a brief account of the current theoretical and experimental understanding of repulsive polaron properties, for impurities embedded in both fermionic and bosonic media, and we highlight open issues deserving future investigations.

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11

Cao, L., V. Bolsinger, S. I. Mistakidis, G. M. Koutentakis, S. Krönke, J. M. Schurer, and P. Schmelcher. "A unified ab initio approach to the correlated quantum dynamics of ultracold fermionic and bosonic mixtures." Journal of Chemical Physics 147, no. 4 (July 26, 2017): 044106. http://dx.doi.org/10.1063/1.4993512.

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12

Ortolano, Giuseppe, Elena Losero, Stefano Pirandola, Marco Genovese, and Ivano Ruo-Berchera. "Experimental quantum reading with photon counting." Science Advances 7, no. 4 (January 2021): eabc7796. http://dx.doi.org/10.1126/sciadv.abc7796.

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The final goal of quantum hypothesis testing is to achieve quantum advantage over all possible classical strategies. In the protocol of quantum reading, this is achieved for information retrieval from an optical memory, whose generic cell stores a bit of information in two possible lossy channels. We show, theoretically and experimentally, that quantum advantage is obtained by practical photon-counting measurements combined with a simple maximum-likelihood decision. In particular, we show that this receiver combined with an entangled two-mode squeezed vacuum source is able to outperform any strategy based on statistical mixtures of coherent states for the same mean number of input photons. Our experimental findings demonstrate that quantum entanglement and simple optics are able to enhance the readout of digital data, paving the way to real applications of quantum reading and with potential applications for any other model that is based on the binary discrimination of bosonic loss.

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13

DUNBAR, JONATHAN, NAIHUAN JING, and KAILASH C. MISRA. "REALIZATION OF ${\widehat{\mathfrak{sl}}_2({\mathbb C})}$ AT THE CRITICAL LEVEL." Communications in Contemporary Mathematics 16, no. 02 (April 2014): 1450006. http://dx.doi.org/10.1142/s0219199714500060.

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An explicit realization of the affine Lie algebra [Formula: see text] at the critical level is constructed using a mixture of bosons and parafermions. Subsequently, a representation of the associated Lepowsky–Wilson Z-algebra is given on a space of the tensor product of bosonic fields and certain semi-infinite wedge products.

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14

RANNINGER, JULIUS. "SUPERFLUID TO BOSE METAL TRANSITION IN SYSTEMS WITH RESONANT PAIRING." International Journal of Modern Physics B 22, no. 25n26 (October 20, 2008): 4379–85. http://dx.doi.org/10.1142/s0217979208050139.

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Experiments in thin films whose thickness can be modified and by this way induce a superconductor to insulator transition, seem to suggest that in the quantum critical regime of this phase transition there might be a Bose metal, i.e., uncondensed bosonic carriers with a finite dissipation. This poses a fundamental problem as to our understanding of how such a state could be justified. On the basis of a simple Boson-Fermion model, where bosonic and fermionic degrees of freedom are strongly inter-related via a Boson-Fermion pair exchange coupling g, we illustrate how such a bosonic metal phase could possibly come about. We show that, as we approach the quantum critical point at some critical gc from the superfluid side, the superfluid phase locking is sustained only for longer and longer spatial scales. On a finite spatial scale, the boson have a quasi-free itinerant behavior with metallic features. At the quantum critical point the systems exhibits a phase separation which shows a ressemblance to that of a He 3– He 4 mixture. This could be the clue to the apparent dilemma of a Bose metal at zero temperature.

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15

MAMEDOV, T. A., and M. DE LLANO. "DC RESISTIVITY OF CHARGED COOPER PAIRS IN A SIMPLE BOSON-FERMION MODEL OF SUPERCONDUCTORS." International Journal of Modern Physics B 22, no. 25n26 (October 20, 2008): 4386–97. http://dx.doi.org/10.1142/s0217979208050140.

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An analytic expression for the contribution σB(λ, T) to the conductivity from charged bosonic Cooper pairs (CPs) is derived via two-time Green function techniques as a function of the BCS interelectron interaction model parameter λ and temperature T. Within the framework of a binary boson-fermion gas mixture model, it is shown that a self-consistent description of the resistivity data observed in high-temperature superconductors is possible only by assuming the presence of a finite gap between the energy spectra of free fermions and bosonic CPs.

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16

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 (May 30, 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 disintegration into, two unpaired electrons, results in a substantially lowering the total system energy. The positive-energy composite bosons begin to appear incoherently below a depairing temperature T* as their coupling- and temperature-dependent number density gradually increases from zero. This leads quite naturally to the pseudogap phenomenon observed in high-Tc cuprates.

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17

Schlottmann, P. "Threshold singularities in the one-dimensional supersymmetric boson–fermion gas mixture." International Journal of Modern Physics B 32, no. 21 (August 6, 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 be neglected, the linear dispersion of a Luttinger liquid is asymptotically exact. The spectral function, however, displays deviations from the Luttinger behavior for higher energy excitations. In the neighborhood of the single-particle (hole) energy, the spectral function is represented by an effective X-ray edge type model. Expressions of the critical exponents for the single-hole Green’s function are obtained using the Bethe ansatz solution in the limit of the bosonic gas. The results could be of relevance in the context of ultracold atoms confined to an elongated optical trap.

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18

Feldker, T., J. Schütz, H. John, and G. Birkl. "Magneto-optical trapping of bosonic and fermionic neon isotopes and their mixtures: isotope shift of the 3P2 ↔ 3D3 transition and hyperfine constants of the 3D3 state of 21Ne." European Physical Journal D 65, no. 1-2 (June 23, 2011): 257–62. http://dx.doi.org/10.1140/epjd/e2011-20068-5.

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19

Richaud, Andrea, and Vittorio Penna. "Quantum-Granularity Effect in the Formation of Supermixed Solitons in Ring Lattices." Condensed Matter 5, no. 1 (January 8, 2020): 2. http://dx.doi.org/10.3390/condmat5010002.

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Анотація:

We investigate a notable class of states peculiar to a bosonic binary mixture featuring repulsive intraspecies and attractive interspecies couplings. We evidence that, for small values of the hopping amplitudes, one can access particular regimes marked by the fact that the interwell boson transfer occurs in a jerky fashion. This property is shown to be responsible for the emergence of a staircase-like structure in the phase diagram of a mixture confined in a ring trimer and to resemble the mechanism of the superfluid-Mott insulator transition strongly. Under certain conditions, in fact, we show that it is possible to interpret the interspecies attraction as an effective chemical potential and the supermixed soliton as an effective particle reservoir. Our investigation is developed both within a fully quantum approach based on the analysis of several quantum indicators and by means of a simple analytical approximation scheme capable of capturing the essential features of this ultraquantum effect.

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20

VIGIL, JUAN ESTRADA, and LUIS MASPERI. "DYNAMICAL COSMOLOGICAL CONSTANT AND RELATIONS AMONG PSEUDO-GOLDSTONE BOSONS." Modern Physics Letters A 13, no. 06 (February 28, 1998): 423–28. http://dx.doi.org/10.1142/s0217732398000486.

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The present apparent cosmological constant is interpreted as the potential of the lightest pseudo-Goldstone boson. Some numerical relations among cosmological parameters and particle masses are shown to arise from the mixture of this very light particle, whose interaction is of the gravitational order, with other pseudo-Goldstone bosons like the pion and the axion which feel the strong interaction.

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21

TAKEUCHI, YOUSUKE, and HIROYUKI MORI. "MOTT TRANSITION IN ONE-DIMENSIONAL BOSON-FERMION MIXTURES." International Journal of Modern Physics B 20, no. 05 (February 20, 2006): 617–25. http://dx.doi.org/10.1142/s0217979206033486.

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We numerically investigated Mott transitions and mixing-demixing transitions in one-dimensional boson-fermion mixtures at a commensurate filling. The mixing-demixing transition occurred in a qualitatively similar manner to incommensurate filling cases. We also found the Mott insulator phase appeared in both the mixing and the demixing states as the fermion-boson interaction or the boson-boson interaction increased. Phase diagrams were obtained in interaction parameter space.

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22

MAMEDOV, T. A., and M. DE LLANO. "UNIFORM COULOMB FIELD AS ORIGIN OF "FERMI ARCS" IN AN ANISOTROPIC BOSON-FERMION GAS MIXTURE." International Journal of Modern Physics B 27, no. 29 (November 5, 2013): 1347002. http://dx.doi.org/10.1142/s0217979213470024.

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A recent boson-fermion (BF) binary gas mixture model is extended to include: (i) anisotropy of the BF interaction and (ii) momentum-independent Coulomb repulsions. It is applied to account for the peculiarities of the pseudogap observed as function of absolute temperature T and concentration x of holes doped onto the CuO 2 planes and to study the further transformation of the pseudogap into the real superconducting gap, as T is lowered. Using two-time Green functions it is shown that pair breakings depend on the separation between the boson and fermion spectra of the BF mixture. As this separation shrinks, the pair-breaking ability of the Coulomb interaction weakens and disappears at the BEC Tc, i.e., at the T below which a complete softening of bosons occurs. Simultaneous inclusion of both effects (i) and (ii) produces, as T is lowered, "islands" in momentum space of incoherent Cooper pairs above the Fermi sea. These islands grow upon further cooling and merge together just before Tc is reached. The new extended BF model predicts a pseudogap phase in 2D high-Tc superconductors with lines of points, or loci, on the Fermi surface along which the pseudogap vanishes. This explains the origin of T-dependent "Fermi arcs" observed in ARPES experiments.

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23

LIU, BOYANG, and JIANGPING HU. "ONE-LOOP RENORMALIZATION GROUP ANALYSIS OF BOSE–FERMI MIXTURES." International Journal of Modern Physics B 26, no. 32 (December 11, 2012): 1250197. http://dx.doi.org/10.1142/s0217979212501974.

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Анотація:

A weakly interacting Bose–Fermi mixture model was investigated using Wisonian renormalization group (RG). This model includes one boson–boson interaction term and one boson–fermion interaction term. The scaling dimensions of the two interaction coupling constants were calculated as 2-D at tree level and the flow equations were derived at one-loop level. We find that in the flow equations the contributions from the fermion loops go to zero as the length scale approaches infinity. In three-dimensional case two fixed points are calculated. One is the Gaussian fixed point and the other one is Wilson–Fisher fixed point. We observe that the boson–fermion interaction decouples at the Wilson–Fisher fixed point. We also find that under RG transformation the boson–fermion interaction coupling constant runs to negative infinity with a small negative initial value, which indicates a boson–fermion pairing instability. Furthermore, the possibility of emergent supersymmetry in this model was discussed.

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24

CHA, MIN-CHUL. "ASYMMETRIC TWO-COMPONENT HARD-CORE BOSON MIXTURES IN A ONE-DIMENSIONAL OPTICAL LATTICE." International Journal of Modern Physics B 27, no. 15 (June 4, 2013): 1362002. http://dx.doi.org/10.1142/s0217979213620026.

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We study asymmetric two-component mixtures of hard-core bosons in one dimension by carrying out quantum Monte Carlo calculations. We have found that the background bosons have different roles in suppressing superfluidity depending on the degree of asymmetry and the interspecies interactions. For weak asymmetry, the superfluid stiffness is solely governed by the density of bosons with a renormalized chemical potential, whereas in the other limit with heavy background bosons, localization effects due to the interspecies interactions appear. Particularly, strong asymmetry in hopping amplitudes induces a solid phase transition at commensurate filling.

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25

Hatsuda, Rei, and Emiko Arahata. "Monopole dynamics of Bose–Fermi mixtures in a three-dimensional optical lattice on a harmonic trap." International Journal of Modern Physics B 34, no. 09 (April 10, 2020): 2050073. http://dx.doi.org/10.1142/s0217979220500733.

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Motivated by recent developments in experimental studies of Bose–Fermi mixtures, we investigate monopole oscillation dynamics of Bose–Fermi mixtures in a three-dimensional (3D) optical lattice and an external isotropic harmonic trap potential. We use dynamical Gutzwiller approximation and calculate time dependence of the average spatial extent of particles in a coexisting phase where superfluid bosons and metal fermions coexist. With the trap potential, the bosons concentrate at and around the center of the potential and the fermions surround the bosons. They begin to demonstrate monopole oscillations when the trap potentials are suddenly changed to the ones with smaller curvature. In particular, the correlation between the oscillations of the bosons and fermions is different depending on the condition of the initial confinement. We also show the case where only one of the two trap potentials is changed.

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26

MAMEDOV, T. A., and M. DE LLANO. "GENERALIZED SUPERCONDUCTING GAP IN A BOSON-FERMION MODEL." International Journal of Modern Physics B 24, no. 25n26 (October 20, 2010): 5202–10. http://dx.doi.org/10.1142/s021797921005733x.

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Анотація:

A quantum-statistical binary gas mixture model consisting of positive-energy resonant bosonic Cooper electron pairs in chemical and thermal equilibrium with single unpaired electrons yields, via two-time retarded Green functions, an analytic expression for a dimensionless coupling λ- and temperature T-dependent generalized energy gap Eg(λ, T) in the single-electron spectrum. The new gap gives a reasonable description of overdoped Bi2Sr2CuO6+δ(Bi2201).

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27

Ta?gin, M. E., A. L. Suba?i, M. �. Oktel, and B. Tanatar. "Vortices in trapped boson-fermion mixtures." Journal of Low Temperature Physics 138, no. 3-4 (February 2005): 611–16. http://dx.doi.org/10.1007/s10909-005-2269-0.

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28

ENGBERG, NICLAS. "THE g-LOOP VACUUM IN THE NEVEU-SCHWARZ SECTOR BY OPERATOR SEWING OF DUAL VERTICES." Modern Physics Letters A 09, no. 07 (March 7, 1994): 643–52. http://dx.doi.org/10.1142/s0217732394003877.

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The matter part of the g-loop Reggeon vacuum of the Neveu-Schwara string is constructed by operator sewing of dual four-vertices using superfields. The economical parametrization of the locations of the external legs in the dual vertex leads to significant simplifications compared to ordinary sewing of three vertices. The final answer is in agreement with previous results, derived both through a mixture of path-integrals and sewing of three vertices, and through supersymmetrization of the bosonic result.

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29

Calixto, Manuel, Alberto Mayorgas, and Julio Guerrero. "Hilbert Space Structure of the Low Energy Sector of U(N) Quantum Hall Ferromagnets and Their Classical Limit." Symmetry 14, no. 5 (April 24, 2022): 872. http://dx.doi.org/10.3390/sym14050872.

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Using the Lieb–Mattis ordering theorem of electronic energy levels, we identify the Hilbert space of the low energy sector of U(N) quantum Hall/Heisenberg ferromagnets at filling factor M for L Landau/lattice sites with the carrier space of irreducible representations of U(N) described by rectangular Young tableaux of M rows and L columns, and associated with Grassmannian phase spaces U(N)/U(M)×U(N−M). We embed this N-component fermion mixture in Fock space through a Schwinger–Jordan (boson and fermion) representation of U(N)-spin operators. We provide different realizations of basis vectors using Young diagrams, Gelfand–Tsetlin patterns and Fock states (for an electron/flux occupation number in the fermionic/bosonic representation). U(N)-spin operator matrix elements in the Gelfand–Tsetlin basis are explicitly given. Coherent state excitations above the ground state are computed and labeled by complex (N−M)×M matrix points Z on the Grassmannian phase space. They adopt the form of a U(N) displaced/rotated highest-weight vector, or a multinomial Bose–Einstein condensate in the flux occupation number representation. Replacing U(N)-spin operators by their expectation values in a Grassmannian coherent state allows for a semi-classical treatment of the low energy (long wavelength) U(N)-spin-wave coherent excitations (skyrmions) of U(N) quantum Hall ferromagnets in terms of Grasmannian nonlinear sigma models.

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30

Calixto, Manuel, Alberto Mayorgas, and Julio Guerrero. "Hilbert Space Structure of the Low Energy Sector of U(N) Quantum Hall Ferromagnets and Their Classical Limit." Symmetry 14, no. 5 (April 24, 2022): 872. http://dx.doi.org/10.3390/sym14050872.

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Анотація:

Using the Lieb–Mattis ordering theorem of electronic energy levels, we identify the Hilbert space of the low energy sector of U(N) quantum Hall/Heisenberg ferromagnets at filling factor M for L Landau/lattice sites with the carrier space of irreducible representations of U(N) described by rectangular Young tableaux of M rows and L columns, and associated with Grassmannian phase spaces U(N)/U(M)×U(N−M). We embed this N-component fermion mixture in Fock space through a Schwinger–Jordan (boson and fermion) representation of U(N)-spin operators. We provide different realizations of basis vectors using Young diagrams, Gelfand–Tsetlin patterns and Fock states (for an electron/flux occupation number in the fermionic/bosonic representation). U(N)-spin operator matrix elements in the Gelfand–Tsetlin basis are explicitly given. Coherent state excitations above the ground state are computed and labeled by complex (N−M)×M matrix points Z on the Grassmannian phase space. They adopt the form of a U(N) displaced/rotated highest-weight vector, or a multinomial Bose–Einstein condensate in the flux occupation number representation. Replacing U(N)-spin operators by their expectation values in a Grassmannian coherent state allows for a semi-classical treatment of the low energy (long wavelength) U(N)-spin-wave coherent excitations (skyrmions) of U(N) quantum Hall ferromagnets in terms of Grasmannian nonlinear sigma models.

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31

Barfknecht, R. E., A. S. Dehkharghani, A. Foerster, and N. T. Zinner. "Correlation properties of a three-body bosonic mixture in a harmonic trap." Journal of Physics B: Atomic, Molecular and Optical Physics 49, no. 13 (June 1, 2016): 135301. http://dx.doi.org/10.1088/0953-4075/49/13/135301.

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32

Tsurumi, Takeya, and Miki Wadati. "Dynamics of Magnetically Trapped Boson-Fermion Mixtures." Journal of the Physical Society of Japan 69, no. 1 (January 2000): 97–103. http://dx.doi.org/10.1143/jpsj.69.97.

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33

Schlottmann, P. "Mixture of interacting supersymmetric spinless fermions and bosons in a one-dimensional trap." Modern Physics Letters B 30, no. 25 (September 20, 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 the asymptotic behavior at large distances of some relevant correlation functions. The low-energy excitations of the system form a two-component Luttinger liquid. In an elongated optical trap the gas phase separates as a function of the distance from the center of the trap.

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34

Alon, O. E., and L. S. Cederbaum. "Effects Beyond Center-of-Mass Separability in a Trapped Bosonic Mixture: Exact Results." Journal of Physics: Conference Series 2249, no. 1 (April 1, 2022): 012011. http://dx.doi.org/10.1088/1742-6596/2249/1/012011.

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Abstract An exactly solvable model mimicking demixing of two Bose-Einstein condensates at the many-body level of theory is devised. Various properties are expressed in closed form along the demixing pathway and investigated. The connection between the center-of-mass coordinate and in particular the relative center-of-mass coordinate and demixing is explained. The model is also exactly solvable at the mean-field level of theory, allowing thereby comparison between many-body and mean-field properties. Applications are briefly discussed.

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35

Williams, J. E., N. Nygaard, and C. W. Clark. "Phase diagrams for an ideal gas mixture of fermionic atoms and bosonic molecules." New Journal of Physics 6 (September 30, 2004): 123. http://dx.doi.org/10.1088/1367-2630/6/1/123.

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36

Mishra, Tapan, Ramesh V. Pai, and B. P. Das. "Density-Matrix Renormalization Group studies of mixture of two different ultracold bosonic atoms." Journal of Physics: Conference Series 80 (September 1, 2007): 012039. http://dx.doi.org/10.1088/1742-6596/80/1/012039.

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37

Abdullaev, F. Kh, and R. M. Galimzyanov. "Bosonic impurity in a one-dimensional quantum droplet in the Bose–Bose mixture." Journal of Physics B: Atomic, Molecular and Optical Physics 53, no. 16 (June 30, 2020): 165301. http://dx.doi.org/10.1088/1361-6455/ab9659.

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38

SHARMA, R., and S. MUKHERJEE. "HER X-1: A QUARK–DIQUARK STAR?" Modern Physics Letters A 16, no. 16 (May 30, 2001): 1049–59. http://dx.doi.org/10.1142/s0217732301004108.

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Using a general solution to the Vaidya–Tikekar model for a spherically symmetric superdense star, we show that the equation of state (EOS) of a star with values of mass and radius within the experimental ranges for Her X-1 (a compact X-ray binary pulsar), agrees accurately with the EOS obtained by Horvath et al.,1 who considered a quark–diquark mixture in equilibrium. Nevertheless, we note that the boundary condition chosen for bosonic (diquark) component in Ref. 1 is not appropriate and the identification of Her X-1 as a quark–diquark star remains inconclusive.

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39

Tanatar, B., and E. Erdemir. "Two-dimensional boson–fermion mixtures in harmonic traps." Physica B: Condensed Matter 329-333 (May 2003): 42–43. http://dx.doi.org/10.1016/s0921-4526(02)01905-1.

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40

Ji, Kai, Stefan Maier, and Andreas Komnik. "Dynamical response of ultracold interacting fermion–boson mixtures." Physica B: Condensed Matter 454 (December 2014): 224–34. http://dx.doi.org/10.1016/j.physb.2014.07.075.

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41

Nygaard, Nicolai, and Klaus Mølmer. "Component separation in harmonically trapped boson-fermion mixtures." Physical Review A 59, no. 4 (April 1, 1999): 2974–81. http://dx.doi.org/10.1103/physreva.59.2974.

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42

Wang, Ji-Guo, and Ju-Kui Xue. "The coherence of boson–fermion mixed system." Modern Physics Letters B 28, no. 07 (March 13, 2014): 1450057. http://dx.doi.org/10.1142/s0217984914500572.

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In this paper, we investigate the quantum coherence of Bose–Fermi mixtures of ultracold dipolar particles trapped in a three-site Bose–Fermi–Hubbard model. We show that the interplay between the boson–boson on-site interaction, boson–fermion on-site interaction, and boson–fermion inter-site dipole–dipole interaction (DDI) results in interesting coherence characters. When boson–boson on-site interaction is present, the resonance character of coherence against both boson–fermion DDI and boson–fermion on-site interaction emerges, the coherence of the system can be enhanced at certain values of boson–fermion on-site interaction and boson–fermion DDI. DDI of fermion–fermion affects the coherence weak and the phase coherence decreases monotonically for all the values of fermion–fermion DDI. The obtained coherent characters are further confirmed within the variational analyzing of the ground state energy.

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43

TRINDADE, M. A. S., L. M. SILVA FILHO, L. C. SANTOS, M. GRAÇAS R. MARTINS, and J. D. M. VIANNA. "QUANTUM INFORMATION, THERMOFIELD DYNAMICS AND THERMALIZED BOSONIC OSCILLATOR." International Journal of Modern Physics B 27, no. 24 (September 11, 2013): 1350133. http://dx.doi.org/10.1142/s0217979213501336.

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We show through Thermofield Dynamics approach that the action of the thermalized quantum logic gate on the thermalized state is equivalent to thermalization of the state that arise from the application of the nonthermalized quantum logic gate. In particular, we study the effect of temperature on a mixed state associated to a system capable of implementing a controlled-NOT (CNOT) quantum logic gate. According to a proposal in the literature, a way of implementing such a logic gate is by using a representation of the qubit states as elements of the Fock space of a bosonic system. We consider such a proposal and use the Thermofield Dynamics to determine the thermalized qubit states. The temperature acts as a quantum noise on pure states, making them a statistical mixture. In this context, we analyze the fidelity as a function of the temperature and using the Mandel parameter, we determine temperature ranges for which the statistics of the system becomes subpoissonian, poissonian and superpoissonian. Finally, we calculate the Wigner function, allowing an analysis of the thermal state in phase space, and we obtain that the increase of temperature decreases nonclassical properties of the system. The temperature range where one has a subpoissonian statistics and high fidelity is determined.

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44

Niedenzu, Wolfgang, Igor Mazets, Gershon Kurizki, and Fred Jendrzejewski. "Quantized refrigerator for an atomic cloud." Quantum 3 (June 28, 2019): 155. http://dx.doi.org/10.22331/q-2019-06-28-155.

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We propose to implement a quantized thermal machine based on a mixture of two atomic species. One atomic species implements the working medium and the other implements two (cold and hot) baths. We show that such a setup can be employed for the refrigeration of a large bosonic cloud starting above and ending below the condensation threshold. We analyze its operation in a regime conforming to the quantized Otto cycle and discuss the prospects for continuous-cycle operation, addressing the experimental as well as theoretical limitations. Beyond its applicative significance, this setup has a potential for the study of fundamental questions of quantum thermodynamics.

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45

Travin, V. M., and T. K. Kopeć. "Competing bosonic condensates in optical lattice with a mixture of single and pair hoppings." Physica B: Condensed Matter 505 (January 2017): 22–32. http://dx.doi.org/10.1016/j.physb.2016.10.027.

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46

Anufriiev, S., and T. A. Zaleski. "Phase Diagram of Mixtures of Ultracold Bosons in Optical Lattice." Acta Physica Polonica A 130, no. 2 (August 2016): 629–32. http://dx.doi.org/10.12693/aphyspola.130.629.

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47

Akdeniz, Z., and M. P. Tosi. "Phase Separation in Ultracold Boson–Fermion Mixtures under Confinement." Zeitschrift für Physikalische Chemie 217, no. 8-2003 (August 2003): 927–38. http://dx.doi.org/10.1524/zpch.217.8.927.20422.

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48

Lee, Au-Chen, D. Baillie, P. B. Blakie, and R. N. Bisset. "Miscibility and stability of dipolar bosonic mixtures." Physical Review A 103, no. 6 (June 1, 2021). http://dx.doi.org/10.1103/physreva.103.063301.

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49

Tengstrand, M. Nilsson, and S. M. Reimann. "Droplet-superfluid compounds in binary bosonic mixtures." Physical Review A 105, no. 3 (March 24, 2022). http://dx.doi.org/10.1103/physreva.105.033319.

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50

Lingua, F., M. Guglielmino, V. Penna, and B. Capogrosso Sansone. "Demixing effects in mixtures of two bosonic species." Physical Review A 92, no. 5 (November 13, 2015). http://dx.doi.org/10.1103/physreva.92.053610.

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