Dynamics of non-equilibrium thermal quantum correlation in a two-qubit Heisenberg XYZ model
Tóm tắt
The non-equilibrium thermal entanglement and quantum discord in a two-qubit Heisenberg XYZ model subjected to two thermal baths with different temperatures are investigated. The dynamical behaviors of entanglement and quantum discord under the influences of the initial states of the two-qubit system, the temperature of the thermal baths and the coupling constant $$J_z$$ are discussed. A special emphasis is devoted to study the effects of the thermal baths on the steady quantum correlation between the two qubits. Our results show that the temperature difference $$\Delta T$$ plays a key role for the appearance of steady quantum correlation, which can be enhanced by coupling constant $$J_z$$, DM interaction and non-uniform magnetic field.
Tài liệu tham khảo
Horodecki, R., Horodecki, P., Horodecki, M., Horodecki, K.: Quantum entanglement. Rev. Mod. Phys. 81, 865 (2009)
Long, G.L., Qin, W., Yang, Z., Li, J.L.: Realistic interpretation of quantum mechanics and encounter-delayed-choice experiment. Sci. China-Phys. Mech. Astron. 61, 030311 (2018)
Bennett, C.H., Brassard, G., Crépeau, C., Jozsa, R., Peres, A., Wootters, W.K.: Teleporting an unknown quantum state via dual classical and Einstein–Podolsky–Rosen channels. Phys. Rev. Lett. 70, 1895 (1993)
Bennett, C.H., DiVincenzo, D.P.: Quantum information and computation. Nature 404, 247 (2000)
Bennett, C.H., Wiesner, S.J.: Communication via one- and two-particle operators on Einstein–Podolsky–Rosen states. Phys. Rev. Lett. 69, 2881 (1992)
Neilsen, M.A., Chuang, I.L.: Quantum Computation and Quantum Information. Cambridge University Press, Cambridge (2004)
Breuer, H.P., Petruccione, F.: The Theory of Open Quantum Systems. Oxford University Press, Oxford (2002)
Yu, T., Eberly, J.H.: Finite-time disentanglement via spontaneous emission. Phys. Rev. Lett. 93, 140404 (2004)
Bellomo, B., Franco, R.Lo, Compagno, G.: Non-Markovian effects on the dynamics of entanglement. Phys. Rev. Lett. 99, 160502 (2007)
López, C.E., Romero, G., Lastra, F., Solano, E., Retamal, J.C.: Sudden birth versus sudden death of entanglement in multipartite systems. Phys. Rev. Lett. 101, 080503 (2008)
Man, Z.X., Xia, Y.J., Nguyen, B.A.: Robustness of multiqubit entanglement against local decoherence. Phys. Rev. A 78, 064301 (2008)
Mazzola, L., Maniscalco, S., Piilo, J., Suominen, K.A., Garraway, B.M.: Sudden death and sudden birth of entanglement in common structured reservoirs. Phys. Rev. A 79, 042302 (2009)
Maziero, J., Werlang, T., Fanchini, F.F., Céleri, L.C., Serra, R.M.: System-reservoir dynamics of quantum and classical correlations. Phys. Rev. A 81, 022116 (2010)
Zhang, Y.J., Zou, X.B., Xia, Y.J., Guo, G.C.: Different entanglement dynamical behaviors due to initial system-environment correlations. Phys. Rev. A 82, 022108 (2010)
Obada, A.S.F., Abdel-Khalek, S., Abo-Kahla, D.A.M.: New features of entanglement and other applications of a two-qubit system. Opt. Commun. 283, 4662 (2010)
Abdel-Khalek, S.: Quantum entanglement and geometric phase of two moving two-level atoms. Open Syst. Inf. Dyn. 22, 1550015 (2015)
Abdel-Khalek, S.: Quantum fisher information flow and entanglement in pair coherent states. Opt. Quantum Electron 46, 1055 (2014)
Liu, K.L., Goan, H.S.: Non-Markovian entanglement dynamics of quantum continuous variable systems in thermal environments. Phys. Rev. A 76, 022312 (2007)
Goyal, S.K., Ghosh, S.: Quantum-to-classical transition and entanglement sudden death in Gaussian states under local-heat-bath dynamics. Phys. Rev. A 82, 042337 (2010)
Fedortchenko, S., Keller, A., Coudreau, T., Milman, P.: Finite-temperature reservoir engineering and entanglement dynamics. Phys. Rev. A 90, 042103 (2014)
Guo, J.L., Cheng, C.C.: One-norm geometric quantum discord of two-qubit state in spin chain environment at finite temperature. Physica A 432, 391 (2015)
Guo, J.L., Wei, J.L.: Dynamics and protection of tripartite quantum correlations in a thermal bath. Ann. Phys. 354, 522 (2015)
Arnesen, M.C., Bose, S., Vedral, V.: Natural thermal and magnetic entanglement in the 1D Heisenberg model. Phys. Rev. Lett. 87, 017901 (2001)
Wang, X.: Entanglement in the quantum Heisenberg XY model. Phys. Rev. A 64, 012313 (2001)
Zhou, L., Song, H.S., Guo, Y.Q., Li, C.: Enhanced the thermal entanglement in anisotropy XYZ Heisenberg chain. Phys. Rev. A 68, 024301 (2003)
Yeo, Y.: Entanglement teleportation via thermally entangled states of two-qubit Heisenberg XX chain. Phys. Rev. A 66, 062312 (2002)
Zhang, G.F.: Thermal entanglement in a two-qubit Heisenberg XXZ spin chain under an inhomogeneous magnetic field. Phys. Rev. A 72, 034302 (2005)
Guo, J.L., Mi, Y.J., Zhang, J., Song, H.S.: Thermal quantum discord of spins in an inhomogeneous magnetic field. J. Phys. B At. Mol. Opt. Phys. 44, 065504 (2011)
Quiroga, L., Rodríguez, F.J., Ramírez, M.E., París, R.: Nonequilibrium thermal entanglement. Phys. Rev. A 75, 032308 (2007)
Sinaysky, L., Petruccione, F., Burgarth, D.: Dynamics of nonequilibrium thermal entanglement. Phys. Rev. A 78, 062301 (2008)
Huang, X.L., Guo, J.L., Yi, X.X.: Nonequilibrium thermal entanglement in three-qubit \(XX\) model. Phys. Rev. A 80, 054301 (2009)
Zhang, X.X., Li, F.L.: Generation of non-equilibrium thermal quantum discord and entanglement in a three-spin XX chain by multi-spin interaction and an external magnetic field. Phys. Lett. A 375, 4130 (2011)
Kheirandisha, F., Akhtarshenas, S.J., Mohammadi, H.: Non-equilibrium entanglement dynamics of a two-qubit Heisenberg XY system in the presence of an inhomogeneous magnetic field and spin-orbit interaction. Eur. Phys. J. D. 57, 129 (2010)
Ollivier, H., Zurek, W.H.: Quantum discord: a measure of the quantumness of correlations. Phys. Rev. Lett. 88, 017901 (2001)
Stepanenko, D., Burkard, G., Giedke, G., Imamoglu, A.: Enhancement of electron spin coherence by optical preparation of nuclear spins. Phys. Rev. Lett. 96, 136401 (2006)
Lai, C.W., Maletinsky, P., Badolato, A., Imamoglu, A.: Knight-field-enabled nuclear spin polarization in single quantum dots. Phys. Rev. Lett. 96, 167403 (2006)
Wootters, W.K.: Entanglement of formation of an arbitrary state of two qubits. Phys. Rev. Lett. 80, 2245 (1998)
Datta, A., Shaji, A., Caves, C.M.: Quantum discord and the power of one qubit. Phys Rev. Lett. 100, 050502 (2008)
Lanyon, B.P., Barbieri, M., Almedia, M.P., White, A.G.: Experimental quantum computing without entanglement. Phys. Rev. Lett. 101, 200501 (2008)
Habiballah, N., Khedif, Y., Daoud, M.: Local quantum uncertainty in XYZ Heisenberg spin models with Dzyaloshinski–Moriya interaction. Eur. Phys. J. D 72, 154 (2018)
Leggett, A.J., Chakravarty, S., Dorsey, A.T., Fisher, M.P.A., Garg, A., Zwerger, W.: Dynamics of the dissipative two-state system. Rev. Mod. Phys. 59, 1 (1987)
Goldman, M.: Formal theory of spin-lattice relaxation. J. Magn. Reson. 149, 160 (2001)
Berrada, K., Fanchini, F.F., Abdel-Khalek, S.: Quantum correlations between each qubit in a two-atom system and the environment in terms of interatomic distance. Phys. Rev. A 85, 052315 (2012)
Abdel-Khalek, S., Berrada, K., Alkhateeb, S.A.: Quantum correlations between each two-level system in a pair of atoms and general coherent fields. Results Phys. 6, 780 (2016)