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Journal articles on the topic 'Quantum spin models'

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Published: 4 June 2021
Last updated: 3 February 2022

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1

Shik, H. Y., Y. Q. Li, and H. Q. Lin. "Constructing soluble quantum spin models." Nuclear Physics B 666, no. 3 (September 2003): 337–60. http://dx.doi.org/10.1016/s0550-3213(03)00464-4.

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2

Zhang, Guo-Feng, Heng Fan, Ai-Ling Ji, Zhao-Tan Jiang, Ahmad Abliz, and Wu-Ming Liu. "Quantum correlations in spin models." Annals of Physics 326, no. 10 (October 2011): 2694–701. http://dx.doi.org/10.1016/j.aop.2011.05.002.

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3

MIKOVIĆ, A. "SPIN-CUBE MODELS OF QUANTUM GRAVITY." Reviews in Mathematical Physics 25, no. 10 (November 2013): 1343008. http://dx.doi.org/10.1142/s0129055x13430083.

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We study the state-sum models of quantum gravity based on a representation 2-category of the Poincaré 2-group. We call them spin-cube models, since they are categorical generalizations of spin-foam models. A spin-cube state sum can be considered as a path integral for a constrained 2-BF theory, and depending on how the constraints are imposed, a spin-cube state sum can be reduced to a path integral for the area-Regge model with the edge-length constraints, or to a path integral for the Regge model. We also show that the effective actions for these spin-cube models have the correct classical limit.
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4

Franjic, F., and S. Sorella. "Spin-Wave Wave Function for Quantum Spin Models." Progress of Theoretical Physics 97, no. 3 (March 1, 1997): 399–406. http://dx.doi.org/10.1143/ptp.97.399.

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5

MIKOVIĆ, A. "NEW SPIN FOAM MODELS OF QUANTUM GRAVITY." Modern Physics Letters A 20, no. 17n18 (June 14, 2005): 1305–13. http://dx.doi.org/10.1142/s0217732305017779.

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We give a brief and a critical review of the Barret-Crane spin foam models of quantum gravity. Then we describe two new spin foam models which are obtained by direct quantization of General Relativity and do not have some of the drawbacks of the Barret-Crane models. These are the model of spin foam invariants for the embedded spin networks in loop quantum gravity and the spin foam model based on the integration of the tetrads in the path integral for the Palatini action.
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6

Bahr, Benjamin, Bianca Dittrich, and James P. Ryan. "Spin Foam Models with Finite Groups." Journal of Gravity 2013 (July 24, 2013): 1–28. http://dx.doi.org/10.1155/2013/549824.

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Spin foam models, loop quantum gravity, and group field theory are discussed as quantum gravity candidate theories and usually involve a continuous Lie group. We advocate here to consider quantum gravity-inspired models with finite groups, firstly as a test bed for the full theory and secondly as a class of new lattice theories possibly featuring an analogue diffeomorphism symmetry. To make these notes accessible to readers outside the quantum gravity community, we provide an introduction to some essential concepts in the loop quantum gravity, spin foam, and group field theory approach and point out the many connections to the lattice field theory and the condensed-matter systems.
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7

KOO, W. M., and H. SALEUR. "FUSED POTTS MODELS." International Journal of Modern Physics A 08, no. 29 (November 20, 1993): 5165–233. http://dx.doi.org/10.1142/s0217751x93002071.

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Generalizing the mapping between the Potts model with nearest neighbor interaction and the six-vertex model, we build a family of “fused Potts models” related to the spin k/2 U q su (2) invariant vertex model and quantum spin chain. These Potts models still have variables taking values 1, …,Q[Formula: see text] but they have a set of complicated multispin interactions. The general technique to compute these interactions, the resulting lattice geometry, symmetries, and the detailed examples of k=2, 3 are given. For Q>4, spontaneous magnetizations are computed on the integrable first order phase transition line, generalizing Baxter’s results for k=1. For Q≤4, we discuss the full phase diagram of the spin 1 (k=2) anisotropic and U q su (2) invariant quantum spin chain [it reduces in the limit Q=4 (q=1) to the much studied phase diagram of the isotropic spin 1 quantum spin chain], Several critical lines and massless phases are exhibited. The appropriate generalization of the valence bond state method of Affleck et al. is worked out.
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8

Wei, Tzu-Chieh. "Quantum spin models for measurement-based quantum computation." Advances in Physics: X 3, no. 1 (January 2018): 1461026. http://dx.doi.org/10.1080/23746149.2018.1461026.

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9

Montambaux, Gilles, Didier Poilblanc, Jean Bellissard, and Clément Sire. "Quantum chaos in spin-fermion models." Physical Review Letters 70, no. 4 (January 25, 1993): 497–500. http://dx.doi.org/10.1103/physrevlett.70.497.

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10

Perez, Alejandro. "Spin foam models for quantum gravity." Classical and Quantum Gravity 20, no. 6 (February 21, 2003): R43—R104. http://dx.doi.org/10.1088/0264-9381/20/6/202.

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11

Angelucci, Antimo. "Incommensurate correlations in quantum spin models." Physical Review B 45, no. 10 (March 1, 1992): 5387–94. http://dx.doi.org/10.1103/physrevb.45.5387.

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12

Lin, H. Q. "Exact diagonalization of quantum-spin models." Physical Review B 42, no. 10 (October 1, 1990): 6561–67. http://dx.doi.org/10.1103/physrevb.42.6561.

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13

Kung, D., R. Blankenbecler, and R. L. Sugar. "Numerical simulation of quantum spin models." Physical Review B 32, no. 5 (September 1, 1985): 3058–66. http://dx.doi.org/10.1103/physrevb.32.3058.

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14

Braz, F. F., F. C. Rodrigues, S. M. de Souza, and Onofre Rojas. "Quantum decoration transformation for spin models." Annals of Physics 372 (September 2016): 523–43. http://dx.doi.org/10.1016/j.aop.2016.07.007.

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15

Devakul, Trithep, and Dominic J. Williamson. "Fractalizing quantum codes." Quantum 5 (April 22, 2021): 438. http://dx.doi.org/10.22331/q-2021-04-22-438.

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We introduce "fractalization", a procedure by which spin models are extended to higher-dimensional "fractal" spin models. This allows us to interpret type-II fracton phases, fractal symmetry-protected topological phases, and more, in terms of well understood lower-dimensional spin models. Fractalization is also useful for deriving new spin models and quantum codes from known ones. We construct higher dimensional generalizations of fracton models that host extended fractal excitations. Finally, by applying fractalization to a 2D subsystem code, we produce a family of locally generated 3D subsystem codes that are conjectured to saturate a quantum information storage tradeoff bound.
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16

IDZUMI, MAKOTO, TETSUJI TOKIHIRO, KENJI IOHARA, MICHIO JIMBO, TETSUJI MIWA, and TOSHIKI NAKASHIMA. "QUANTUM AFFINE SYMMETRY IN VERTEX MODELS." International Journal of Modern Physics A 08, no. 08 (March 30, 1993): 1479–511. http://dx.doi.org/10.1142/s0217751x9300062x.

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We study the higher spin analogs of the six-vertex model on the basis of its symmetry under the quantum affine algebra [Formula: see text]. Using the method developed recently for the XXZ spin chain, we formulate the space of states, transfer matrix, vacuum, creation/ annihilation operators of particles, and local operators, purely in the language of representation theory. We find that, regardless of the level of the representation involved, the particles have spin 1/2, and that the n-particle space has an RSOS type structure rather than a simple tensor product of the one-particle space. This agrees with the picture proposed earlier by Reshetikhin.
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17

Miković, A. "Quantum Field Theory of Open Spin Networks and New Spin Foam Models." International Journal of Modern Physics A 18, supp02 (October 2003): 83–96. http://dx.doi.org/10.1142/s0217751x0301797x.

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We describe how a spin-foam state sum model can be reformulated as a quantum field theory of spin networks, such that the Feynman diagrams of that field theory are the spin-foam amplitudes. In the case of open spin networks, we obtain a new type of state-sum models, which we call the matter spin foam models. In this type of state-sum models, one labels both the faces and the edges of the dual two-complex for a manifold triangulation with the simple objects from a tensor category. In the case of Lie groups, such a model corresponds to a quantization of a theory whose fields are the principal bundle connection and the sections of the associated vector bundles. We briefly discuss the relevance of the matter spin foam models for quantum gravity and for topological quantum field theories.
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18

Wang, XiaoGuang. "Entanglement versus energy in quantum spin models." Physics Letters A 334, no. 5-6 (January 2005): 352–56. http://dx.doi.org/10.1016/j.physleta.2004.11.040.

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19

Gepner, Doron. "B spin vertex models and quantum algebras." Nuclear Physics B 958 (September 2020): 115116. http://dx.doi.org/10.1016/j.nuclphysb.2020.115116.

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20

Dmitriev, D. V., V. Ya Krivnov, and A. A. Ovchinnikov. "Exactly solvable two-dimensional quantum spin models." Journal of Experimental and Theoretical Physics 88, no. 1 (January 1999): 138–47. http://dx.doi.org/10.1134/1.558776.

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21

Jefferson, John H., and Wolfgang Häusler. "Effective charge-spin models for quantum dots." Physical Review B 54, no. 7 (August 15, 1996): 4936–47. http://dx.doi.org/10.1103/physrevb.54.4936.

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22

Baez, John C., J. Daniel Christensen, Thomas R. Halford, and David C. Tsang. "Spin foam models of Riemannian quantum gravity." Classical and Quantum Gravity 19, no. 18 (August 22, 2002): 4627–48. http://dx.doi.org/10.1088/0264-9381/19/18/301.

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23

Pazmandi, F., and Z. Domanski. "Phase diagrams of quantum spin glass models." Journal of Physics: Condensed Matter 5, no. 9 (March 1, 1993): L117—L122. http://dx.doi.org/10.1088/0953-8984/5/9/001.

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24

Dmitriev, D. V., V. Ya Krivnov, and A. A. Ovchinnikov. "Exactly solvable 1D frustrated quantum spin models." Zeitschrift für Physik B Condensed Matter 103, no. 2 (June 1996): 193–99. http://dx.doi.org/10.1007/s002570050358.

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25

Kawashima, Naoki. "Cluster algorithms for anisotropic quantum spin models." Journal of Statistical Physics 82, no. 1-2 (January 1996): 131–53. http://dx.doi.org/10.1007/bf02189228.

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26

BELIAKOVA, ANNA. "SPIN TOPOLOGICAL QUANTUM FIELD THEORIES." International Journal of Mathematics 09, no. 02 (March 1998): 129–52. http://dx.doi.org/10.1142/s0129167x98000099.

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Starting from the quantum group [Formula: see text], we construct operator invariants of 3-cobordisms with spin structure, satisfying the requirements of a topological quantum field theory and refining the Reshetikhin–Turaev and Turaev–Viro models. We establish the relationship between these two refined theories.
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27

D'ARRIGO, ANTONIO, GIULIANO BENENTI, and GIUSEPPE FALCI. "HAMILTONIAN MODELS FOR QUANTUM MEMORY CHANNELS." International Journal of Quantum Information 09, no. 02 (March 2011): 625–35. http://dx.doi.org/10.1142/s0219749911007903.

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Quantum memory channels are attracting growing interest, motivated by both realistic possibilities of transferring information by means of quantum hardware and inadequacies of the memoryless approximation. In fact, subsequent uses of the same quantum transmission resource can be significantly correlated. In this paper we review two Hamiltonian models describing memory effects in a purely dephasing spin-boson channel and in a channel with damping visualized by a micromaser system, respectively. In both cases, we show that the quantum information transmission rates are higher than in the memoryless limit.
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28

Fel'dman, E. B., A. N. Pyrkov, and A. I. Zenchuk. "Solid-state multiple quantum NMR in quantum information processing: exactly solvable models." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 370, no. 1976 (October 13, 2012): 4690–712. http://dx.doi.org/10.1098/rsta.2011.0499.

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Multiple quantum (MQ) NMR is an effective tool for the generation of a large cluster of correlated particles, which, in turn, represent a basis for quantum information processing devices. Studying the available exactly solvable models clarifies many aspects of the quantum information. In this study, we consider two exactly solvable models in the MQ NMR experiment: (i) the isolated system of two spin- particles (dimers) and (ii) the large system of equivalent spin- particles in a nanopore. The former model is used to describe the quantum correlations and their relations with the MQ NMR coherences, whereas the latter helps one to model the creation and decay of large clusters of correlated particles.
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29

Idzumi, Makoto, Tetsuji Tokihiro, and Masao Arai. "Solvable nineteen-vertex models and quantum spin chains of spin one." Journal de Physique I 4, no. 8 (August 1994): 1151–59. http://dx.doi.org/10.1051/jp1:1994245.

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30

SACHDEV, SUBIR, and R. JALABERT. "EFFECTIVE LATTICE MODELS FOR TWO-DIMENSIONAL QUANTUM ANTIFERROMAGNETS." Modern Physics Letters B 04, no. 16 (September 10, 1990): 1043–52. http://dx.doi.org/10.1142/s0217984990001318.

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We introduce a 2+1 dimensional lattice model, S0, of N complex scalars coupled to a compact U(1) gauge field as a description of quantum fluctuations in SU(N) antiferromagnets. Duality maps are used to obtain a single effective action for the Néel and spin-Peierls order parameters. We examine the phases of S0 as a function of N: the N→∞ limit can be deduced from previous work. At N=1, S0 describes monopoles and their Berry phases, spin-Peierls order, but not the Néel field: Monte-Carlo simulations show a second-order transition from a spin-Peierls phase to a Higgs phase which is the remnant of the Néel phase.
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31

CUGLIANDOLO, LETICIA F. "DISSIPATIVE QUANTUM DISORDERED MODELS." International Journal of Modern Physics B 20, no. 19 (July 30, 2006): 2795–804. http://dx.doi.org/10.1142/s0217979206035308.

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This article reviews recent studies of mean-field and one dimensional quantum disordered spin systems coupled to different types of dissipative environments. The main issues discussed are: (i) The real-time dynamics in the glassy phase and how they compare to the behaviour of the same models in their classical limit. (ii) The phase transition separating the ordered – glassy – phase from the disordered phase that, for some long-range interactions, is of second order at high temperatures and of first order close to the quantum critical point (similarly to what has been observed in random dipolar magnets). (iii) The static properties of the Griffiths phase in random king chains. (iv) The dependence of all these properties on the environment. The analytic and numeric techniques used to derive these results are briefly mentioned.
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32

EVERTZ, HANS GERD, and MIHAI MARCU. "A NONLOCAL APPROACH TO VERTEX MODELS AND QUANTUM SPIN SYSTEMS." International Journal of Modern Physics C 04, no. 06 (December 1993): 1147–59. http://dx.doi.org/10.1142/s0129183193000902.

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We discuss the loop-algorithm, a new type of cluster algorithm that reduces critical slowing down in vertex models and in quantum spin systems. We cover the example of the 6-vertex model in detail. For the F-model, we present numerical results that demonstrate the effectiveness of the loop algorithm. We show how to modify the original algorithm for some more complicated situations, especially for quantum spin systems in one and two dimensions, and we discuss parallelization.
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33

Khavkine, Igor, and J. Daniel Christensen. "q -deformed spin foam models of quantum gravity." Classical and Quantum Gravity 24, no. 13 (June 12, 2007): 3271–90. http://dx.doi.org/10.1088/0264-9381/24/13/009.

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34

Freidel, Laurent, and James P. Ryan. "Spin foam models: the dynamics of quantum geometry." Classical and Quantum Gravity 25, no. 11 (May 15, 2008): 114004. http://dx.doi.org/10.1088/0264-9381/25/11/114004.

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35

Honecker, A., J. Schulenburg, and J. Richter. "Magnetization plateaus in frustrated antiferromagnetic quantum spin models." Journal of Physics: Condensed Matter 16, no. 11 (March 4, 2004): S749—S758. http://dx.doi.org/10.1088/0953-8984/16/11/025.

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36

Fehér, L., and B. G. Pusztai. "Twisted spin Sutherland models from quantum Hamiltonian reduction." Journal of Physics A: Mathematical and Theoretical 41, no. 19 (April 29, 2008): 194009. http://dx.doi.org/10.1088/1751-8113/41/19/194009.

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37

Alcaraz, F. C., and Yu G. Stroganov. "Free-fermion branches in some quantum spin models." Journal of Physics A: Mathematical and General 35, no. 32 (July 30, 2002): 6767–87. http://dx.doi.org/10.1088/0305-4470/35/32/301.

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38

Ramasesha, S., and Z. G. Soos. "Static spin correlations in alternant quantum cell models." Physical Review B 32, no. 8 (October 15, 1985): 5368–74. http://dx.doi.org/10.1103/physrevb.32.5368.

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39

M�ller, G. "Quantum spin chains: Simple models with complex dynamics." Zeitschrift f�r Physik B Condensed Matter 68, no. 2-3 (June 1987): 149–59. http://dx.doi.org/10.1007/bf01304220.

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40

Stinchcombe, R. B. "Stochastic non-equilibrium systems and quantum spin models." Physica A: Statistical Mechanics and its Applications 224, no. 1-2 (February 1996): 248–53. http://dx.doi.org/10.1016/0378-4371(95)00316-9.

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41

Derzhko, Oleg, Johannes Richter, and Taras Verkholyak. "2D quantum spin models and Jordan-Wigner fermions." Czechoslovak Journal of Physics 52, S1 (January 2002): A41—A44. http://dx.doi.org/10.1007/s10582-002-0008-1.

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42

Wang, Tingting, Rongzhang Yin, Mingquan Ye, Nan Wan, and Jiadong Shi. "Coherence and Quantum Phase Transition in Spin Models." International Journal of Theoretical Physics 60, no. 4 (March 15, 2021): 1507–15. http://dx.doi.org/10.1007/s10773-021-04773-5.

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43

Asante, Seth K., Bianca Dittrich, and José Padua-Argüelles. "Effective spin foam models for Lorentzian quantum gravity." Classical and Quantum Gravity 38, no. 19 (September 6, 2021): 195002. http://dx.doi.org/10.1088/1361-6382/ac1b44.

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44

Glasser, Ivan, J. Ignacio Cirac, Germán Sierra, and Anne E. B. Nielsen. "Construction of spin models displaying quantum criticality from quantum field theory." Nuclear Physics B 886 (September 2014): 63–74. http://dx.doi.org/10.1016/j.nuclphysb.2014.06.016.

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45

ARNAUDON, D., A. SEDRAKYAN, and T. SEDRAKYAN. "INTEGRABLE N-LEG LADDER MODELS." International Journal of Modern Physics A 19, supp02 (May 2004): 16–33. http://dx.doi.org/10.1142/s0217751x04020282.

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We construct integrable spin chains with the inhomogeneous periodic disposition of the anisotropy parameter. The periodicity holds for both auxiliary (space) and quantum (time) directions. The integrability of the model is based on a set of coupled Yang–Baxter equations. This construction yields the P-leg integrable ladder Hamiltonians. We analyse the corresponding quantum group symmetry.
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46

Pereira, E. A. "Correspondence between quantum Heisenberg models (spin-1/2) and bosonic models." Journal of Physics A: Mathematical and General 25, no. 20 (October 21, 1992): 5203–10. http://dx.doi.org/10.1088/0305-4470/25/20/004.

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47

Gotfryd, Dorota, Ekaterina Pärschke, Krzysztof Wohlfeld, and Andrzej M. Oleś. "Evolution of Spin-Orbital Entanglement with Increasing Ising Spin-Orbit Coupling." Condensed Matter 5, no. 3 (August 26, 2020): 53. http://dx.doi.org/10.3390/condmat5030053.

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Several realistic spin-orbital models for transition metal oxides go beyond the classical expectations and could be understood only by employing the quantum entanglement. Experiments on these materials confirm that spin-orbital entanglement has measurable consequences. Here, we capture the essential features of spin-orbital entanglement in complex quantum matter utilizing 1D spin-orbital model which accommodates SU(2)⊗SU(2) symmetric Kugel-Khomskii superexchange as well as the Ising on-site spin-orbit coupling. Building on the results obtained for full and effective models in the regime of strong spin-orbit coupling, we address the question whether the entanglement found on superexchange bonds always increases when the Ising spin-orbit coupling is added. We show that (i) quantum entanglement is amplified by strong spin-orbit coupling and, surprisingly, (ii) almost classical disentangled states are possible. We complete the latter case by analyzing how the entanglement existing for intermediate values of spin-orbit coupling can disappear for higher values of this coupling.
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48

Cardy, John. "QUANTUM NETWORK MODELS AND CLASSICAL LOCALIZATION PROBLEMS." International Journal of Modern Physics B 24, no. 12n13 (May 20, 2010): 1989–2014. http://dx.doi.org/10.1142/s0217979210064678.

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A review is given of quantum network models in class C which, on a suitable 2d lattice, describe the spin quantum Hall plateau transition. On a general class of graphs, however, many observables of such models can be mapped to those of a classical walk in a random environment, thus relating questions of quantum and classical localization. In many cases it is possible to make rigorous statements about the latter through the relation to associated percolation problems, in both two and three dimensions.
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49

Muthuganesan, R., and R. Sankaranarayanan. "Nonlocal correlation in Heisenberg spin models." International Journal of Modern Physics B 31, no. 23 (September 14, 2017): 1750166. http://dx.doi.org/10.1142/s0217979217501661.

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In this paper, we investigate nonlocal correlation (beyond entanglement) captured by measurement induced nonlocality and geometric quantum discord for a pair of interacting spin-1/2 particles at thermal equilibrium. It is shown that both the measures are identical in measuring the correlation. We show that nonlocal correlation between the spins exist even without entanglement and the correlation vanishes only for maximal mixture of product bases. We also observe that while interaction between the spins is responsible for enhancement of correlation, this non-classicality decreases with the intervention of external magnetic field.
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50

Ye, Biao-Liang, Yan Luo, Shu-Yuan Jiang, Dan Zhang, Jian-Qin Xu, Xi-Lin Wang, and Chui-Ping Yang. "Quantum phase transition for the XY chain with Dzyaloshinsky–Moriya interaction." International Journal of Quantum Information 16, no. 06 (September 2018): 1850051. http://dx.doi.org/10.1142/s021974991850051x.

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We study quantum phase transition of the [Formula: see text] spin model with Dzyaloshinsky–Moriya interaction, by using quantum correlation measures, i.e. quantum deficit and measurement-induced disturbance. It is shown that as the Dzyaloshinsky–Moriya coupling parameter [Formula: see text] increases, the behaviors of quantum phase transition can be suppressed. We also investigate quantum phase transition for the Ising and [Formula: see text] spin models at finite temperature. It is found that quantum phase transition characterized by measurement-induced disturbance is greater than or equal to that characterized by quantum deficit. Other interesting analytical results and numerical results on quantum phase transition for the proposed spin models are also presented by applying the two measures. Furthermore, we also compare quantum deficit and measurement-induced disturbance with quantum entanglement, quantum discord and quantum coherence.
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