Abstract
In this paper, we have investigated the effect of Calogero-Moser type interaction on the quantum discord of thermal states of a spin chain. Our results imply that the quantum discord depends on the relative distance between the spins, the external magnetic field, and the temperature. By a comparison between the quantum discord and the entanglement of formation, the quantum discord is more robust than the entanglement of formation in the sense that the latter takes a zero value in a large range of the parameters, while the former takes a nonzero value.
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Bennett C H. Quantum cryptography using any two nonorthogonal states. Phys Rev Lett, 1992, 68: 3121–3124
Bennett C H, Brassard G, Crepeau C, et al.Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels. Phys Rev Lett, 1993, 70: 1895–1899
Peres A. Separability criterion for density matrices. Phys Rev Lett, 1996, 77: 1413–1415
Wootters W K. Entanglement of formation of an arbitrary state of two qubits. Phys Rev Lett, 1998, 80: 2245–2248
Nielsen M A, Chuang I L. Quantum Computation and Quantum Information. Cambridge: Cambridge University Press, 2000. 571–590
Gisin N, Ribordy G, Tittel W, et al. Quantum cryptography. Rev Mod Phys, 2002, 74: 145–195
Knill E, Laflamme R. Power of one bit of quantum information. Phys Rev Lett, 1998, 81: 5672–5675
Zurek W H. Einselection and decoherence from an information theory perspective. Ann Phys (Leipzig), 2000, 9: 855–864
Henderson L, Vedral V. Classical, quantum and total correlations. J Phys A-Math Gen, 2001, 34: 6899–6905
Ollivier H, Zurek W H. Quantum discord: A measure of the quantumness of correlations. Phys Rev Lett, 2001, 88: 017901
Zurek W H. Quantum discord and Maxwell’s demons. Phys Rev A, 2003, 67: 012320
Luo S L. Quantum discord for two-qubit systems. Phys Rev A, 2008, 77: 042303
Shabani A, Lidar D A. Vanishing quantum discord is necessary and sufficient for completely positive maps. Phys Rev Lett, 2009, 102: 100402
Werlang T, Souza S, Fanchini F F, et al. Robustness of quantum discord to sudden death. Phys Rev A, 2009, 80: 024103
Mazzola L, Piilo J, Maniscalco S. Sudden transition between classical and quantum decoherence. Phys Rev Lett, 2010, 104: 200401
Li B, Wang Z X, Fei S M. Quantum discord and geometry for a class of two-qubit states. Phys Rev A, 2011, 83: 022321
Nielsen M A. Quantum information theory. arXiv:quant-ph/0011036
Wu L A, Segal D. Quantum effects in thermal conduction: Nonequilibrium quantum discord and entanglement. Phys Rev A, 2011, 84: 012319
Werlang T, Rigolin G. Thermal and magnetic quantum discord in Heisenberg models. Phys Rev A, 2010, 81: 044101
Maziero J, Guzman H C, Celeri L C, et al. Quantum and classical thermal correlations in the XY spin-1/2 chain. Phys Rev A, 2010, 82: 012106
Werlang T, Trippe C, Ribeiro G A P, et al. Quantum correlations in spin chains at finite temperatures and quantum phase transitions. Phys Rev Lett, 2010, 105: 095702
Ma X S, Zhao G X, Zhang J Y, et al. Quantum discord in the thermal states of a spin-star system. Mod Phys Lett B, 2011, 25: 2289–2297
Liu B H, Shao B, Li J G, et al. Quantum and classical correlations in the one-dimensional XY model with Dzyaloshinskii-Moriya interaction. Phys Rev A, 2011, 83: 052112
Li Y C, Lin H Q. Thermal quantum and classical correlations and entanglement in the XY spin model with three-spin interaction. Phys Rev A, 2011, 83: 052323
Wang L C, Yan J Y, Yi X X. Thermal quantum discord in Heisenberg models with Dzyaloshinski-Moriya interaction. Chin Phys B, 2011, 20: 040305
Makhlin Y, Schn G, Shnirman A. Quantum-state engineering with Josephson-junction devices. Rev Mod Phys, 2001, 73: 357–400
Hanson R, Kouwenhoven L P, Petta J R, et al. Spins in few-electron quantum dots. Rev Mod Phys, 2007, 79: 1217–1265
Haldane F D M. Exact Jastrow-Gutzwiller resonating-valence-bond ground state of the spin 1/2 antiferromagnetic Heisenberg chain with 1/r 2 exhange. Phys Rev Lett, 1988, 60: 635–638
Shastry B S. Exact solution of an S=1/2 Heisenberg antiferromagnetic chain with long-ranged interactions. Phys Rev Lett, 1988, 60: 639–642
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Ma, X., Qiao, Y., Zhao, G. et al. Quantum discord of thermal states of a spin chain with Calogero-Moser type interaction. Sci. China Phys. Mech. Astron. 56, 600–605 (2013). https://doi.org/10.1007/s11433-012-4870-y
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DOI: https://doi.org/10.1007/s11433-012-4870-y