Abstract
For the first time we define a so-called Ket-Bra Entangled State (KBES) for two-qubits coupled with reservoirs by introduce an extra fictitious mode vector, and convert the corresponding master equation into Schrödinger-like equation by virtue of this state. Via this approach we concisely obtain the dynamic evolution of two uncoupled qubits each immersed in local thermal noise. Based on this, the decoherence evolution for the extended Werner-like states is derived and how purity and temperature influence the concurrence is analyzed. This KBES method may also be applied to tackling master equations of limited atomic level systems.
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Nielson, M.A., Chuang, I.L.: Quantum Computation and Quantum Information, pp 353–394. Cambridge, England (2002)
Breuer, H.P.: The Theory of Open Quantum System, pp 219–278. Oxford University, Oxford (2002)
Mintert, F., Carvalho, A.R.R., Kuś, M., Buchleitner, A.: Measures and dynamics of entangled states. Phys. Rep. 415, 207–259 (2005)
lagmago Kamta, G., Starace, A.F.: Anisotropy and magnetic field effects on the entanglement of a two qubit Heisenberg XY chain. Phys. Rev. Lett. 88, 107901 (2002)
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)
Derkacz, Ł., Jakóbczyk, L.: Quantum interference and evolution of entanglement in a system of three-level atoms. Phys. Rev. A 74, 032313 (2006)
Ali, M.: Distillability sudden death in qutrit–qutrit systems under amplitude damping. J. Phys. B: At. Mol. Opt. Phys. 43, 045504 (2010)
Yu, T., Eberly, J.H.: Finite-time disentanglement via spontaneous emission. Phys. Rev. Lett. 93, 140404 (2004)
Bellomo, B., Lo Franco, R., Compagno, G.: Entanglement dynamics of two independent qubits in environments with and without memory. Phys. Rev. A 77, 032342 (2008)
Fan, H.Y., Fan, Y.: New representation of thermal states in thermal field dynamics. Phys. Lett. A 246, 242 (1998)
Fan, H.Y., Gao, W.B.: Solving Laguerre-Gauss mode eigenvectors and eigenfunctions in entangled state representation. Commun. Theor. Phys. 47, 611 (2007)
Fan, H.-y., Hu, L.-y.: Operator-sum representation of density operators as solutions to master equations obtained via the entangled state approach. Mod. Phys. Lett. B 22, 2435 (2008)
Yu, T., Eberly, J.H.: Evolution from entanglement to decoherence of bipartite mixed X states. Quantum Inf. Comput. 7, 459 (2007)
Wootters, W.K.: Entanglement of formation of an arbitrary state of two qubits. Phys. Rev. Lett. 80, 2245 (1998)
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Supported by the National Natural Science Foundation of China under Grant No. 11574295.
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Ren, YC., Fan, HY. Decoherence of Two-qubits Coupled with Reservoirs Studied with New Ket-Bra Entangled State Method. Int J Theor Phys 55, 2089–2096 (2016). https://doi.org/10.1007/s10773-015-2848-z
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DOI: https://doi.org/10.1007/s10773-015-2848-z