Journal of Quantum Optics, Volume. 27, Issue 3, 184(2021)
Geometric Quantum Discord of Heisenberg Spin Chain
[1] [1] Madhok V, Datta A. Quantum discord as a resource in quantum communication[J]. International Journal of Modern Physics B, 2013, 27(1): 1345041. DOI: 10.1142/S0217979213450410.
[2] [2] Hu M L, Fan H. Competition between quantum correlations in the quantum-memory-assisted entropic uncertainty relation[J]. Physical Review A, 2013, 87(2): 022314. DOI: 10.1103/PhysRevA.87.022314.
[3] [3] Streltsov A, Zurek W H. Quantum Discord Cannot Be Shared[J]. Physical Review Letters, 2013, 111(4): 040401. DOI: 10.1103/PhysRevLett.111.040401.
[5] [5] Einstein A, Podolsky B, Rosen N. Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?[J]. Physical Review, 1935, 47(10): 777. DOI: 10.1103/PhysRev.47.777.
[8] [8] Ollivier H, Zurek w H. Quantum Discord: A Measure of the Quantumness of Correlations[J]. Physical Review Letters, 2002, 88(1): 017901. DOI: 10.1103/PhysRevLett.88.017901.
[10] [10] Dakic B, Vedral V, Brukner C. Necessary and Sufficient Condition for Nonzero Quantum Discord[J]. Physical Review Letters, 2010, 105: 190502. DOI: 10.1103/PhysRevLett.105.190502.
[13] [13] Tripartite D. Entanglement dynamics in the presence of Markovian or Non-Markovian environment[J]. Quantum Information Processing, 2016, 15(8): 3189. DOI: 10.1007/s11128-016-1331-y.
[14] [14] Zhang G F. Effect of anisotropy on optimal dense coding[J]. Physica Scripta, 2009, 79(1): 015001. DOI: 10.1088/0031-8949/79/01/015001.
[15] [15] Mu Q X, Zhao X Y, Yu T. Memory-effect-induced macroscopic-microscopic entanglement[J]. Physical Review A, 2016, 94(1): 012334. DOI: 10.1103/PhysRevA.94.012334.
[16] [16] Diosi L, Gisin N, Strunz W T. Non-Markovian quantum state diffusion[J]. Physical Review A, 1998, 58(3): 1699. DOI: 10.1103/PhysRevA.58.1699.
[17] [17] Jing J, Zhao X Y, You J Q, et al. Non-Markovian quantum trajectories of Many-Body quantum open Systems[J]. Physical Review A, 2013, 88(5): 052122. DOI: 10.1103/PhysRevA.88.052122.
[18] [18] Zhao X Y, Jing J, Corn B, et al. Dynamics of interacting qubits coupled to a common bath: Non-Markovian quantum-state-diffusion approach[J]. Physical Review A, 2011, 84(3): 032101. DOI: 10.1103/PhysRevA. 84.032101.
[19] [19] Mu Q X, Lin P Y. Non-Markovian entanglement transfer to distant atoms in a coupled superconducting resonator[J]. Chinese Physical B, 2020, 29(6): 060304. DOI: 10.1088/1674-1056/ab84d8.
[20] [20] Wang H, Wu G X. A thermal entangled quantum refrigerator based on a two-qubit Heisenberg model with Dzyaloshinskii—Moriya interaction in an external magnetic field[J]. Chinese Physics B, 2013, 22(5): 050512. DOI: 10.1088/1674-1056/22/5/050512.
[21] [21] Ji A C, Xie X C, Liu W M. Quantum Magnetic Dynamics of Polarized Light in Arrays of Microcavities[J]. Physical Review Letters, 2007, 99(18): 183602. DOI: 10.1103/PhysRevLett.99.183602.
[22] [22] Zeng C, Parkinson J B. Spatial periodicity of the spin-1/2 Heisenberg antiferromagnetic chain with competing interactions[J]. Physical Review B, 1995, 51(17): 11609. DOI: 10.1103/PhysRevB.51.11609.
[23] [23] White S R, Affleck I. Dimerization and incommensurate spiral spin correlations in the zigzag spin chain: Analogies to the Kondo lattice[J]. Physical Review B, 1996, 54(14): 9862. DOI: 10.1103/PhysRevB.54.9862.
[24] [24] Qiao Y, Wang J, Cao J P, Yang W L. Exact solution of an anisotropic J1-J2 spin chain with antiperiodic boundary condition[J]. Nuclear Physics B, 2020, 954: 115007. DOI: 10.1016/j.nuclphysb.2020.115007.
[27] [27] Breuer H P, Laine E M, and Piilo J.Measure for the degree of Non-Markovian behavior of quantum processes in open systems[J]. Physical Review Letters, 2009, 103(21): 210401. DOI: 10.1103/PhysRevLett. 103.210401.
[28] [28] Wootters W K. Entanglement of formation of an arbitrary state of two qubits[J]. Physics Review Letters, 1998, 80(10): 2245. DOI: 10.1103/PhysRevLett.80.2245.
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TANG Shi-sheng, Ahmat Abliz. Geometric Quantum Discord of Heisenberg Spin Chain[J]. Journal of Quantum Optics, 2021, 27(3): 184
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Received: May. 31, 2021
Accepted: --
Published Online: Nov. 18, 2021
The Author Email: TANG Shi-sheng (2281389643@qq.com)