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Acta Physica Sinica

The dynamics of quantum correlation between two atoms in a damping Jaynes-Cummings model

Fan Kai-Ming, Guo‐Feng Zhang

Published Jan 1, 2013• 11 citations
Publisher

Abstract

The geometrical quantum discord (GQD) is an effective measure of quantum correlation in quantum systems. We investigate the dynamics of quantum correlation between two atoms in a damping Jaynes-Cummings (J-C) model according to the geometrical quantum discord. The evolutional characteristics of GQD are given for both the resonant and non-resonant cases; moreover, the effect of damping on GQD is revealed.

DOI
10.7498/aps.62.130301

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The geometrical quantum discord (GQD) is an effective measure of quantum correlation in quantum systems. We investigate the dynamics of quantum correlation between two atoms in a damping Jaynes-Cummings (J-C) model according to the geometrical quantum discord. The evolutional characteristics of GQD are given for both the resonant and non-resonant cases; moreover, the effect of damping on GQD is revealed.
The geometrical quantum discord (GQD) is an effective measure of quantum correlation in quantum systems. We have studied GQD dynamics of the system comprising two two-level atoms resonantly interacting with two coupled cavities. GQD between atoms and that between cavities are investigated. The influences of coupling constant between cavities and initial entanglement between atoms on GQD are discussed. Results obtained using a numerical method show that GQD between atoms is strengthened, and GQD between cavities is weakened with increasing initial entanglement between atoms. On the other hand, the evolution regularity of GQD between atoms and that between cavities are all strengthened with increasing coupling constant between cavities.
Geometrical quantum discord (GQD) is an effective measure of quantum correlation in quantum systems. We study GQD dynamics in an atom-cavity-fiber system. GQD between atoms and that between cavities are investigated. The influences of coupling constant between cavity and fiber and the intensity of the cavity field on GQD are discussed. Results show that GQD between atoms and that between cavities all display periodical evolutions, and their evolution frequencies increase with increasing coupling constant between cavity and fiber. On the other hand, the GQD between atoms and that between cavities are all strengthened with increasing intensity of the cavity field.
The Geometrical Quantum Discord(GQD)is an effective measure of quantum correlation in quantum systems.The system of W-like states atoms interacting with three coupled cavities connected by two optical fibers was investigated.In the case of like-W state,optical cavities and fiber field are all in vacuum state initially.The evolution of the state vector of the system is given.GQD is adopted to quantify the degree of quantum discord between atoms.The GQD dynamics between atoms are discussed.The influences of coupling constant between cavity and fiber on geometrical quantum discord between atoms are discussed.The results show that GQD between atoms is strengthened with increasing of coupling constant between cavity and fiber.
Abstract We studied the geometric quantum discord of a quantum system consisting of a Jaynes–Cummings (JC) atom, a cavity and an isolated atom. The analytical expressions of the geometric quantum discord for two atoms, every atom with a cavity and the total system were obtained. We showed that the geometric quantum discord is not always zero when the entanglement falls to zero for a two-atom subsystem; the geometric measurement of the quantum discord of the total system developed periodically with a single frequency if the initial two-atom state was not entangled, otherwise, it oscillated with two or four frequencies according to whether the cavity was initially empty or not, respectively.
Abstract Using quantum discord (QD) and geometric quantum discord (GQD), quantum correlation dynamics is investigated for two coupled qubits within a multiqubit interacting system in the zero-temperature bosonic reservoir, under both weak and strong qubit-reservoir coupling regimes. The multiqubit system is connected with either a common bosonic reservoir (CBR) or multiple independent bosonic reservoirs (IBRs). In the CBR case, our findings indicate that both QD and GQD can be strengthened by increasing the number of qubits in the multiqubit system. Furthermore, we study the steady state QD and GQD in the strong coupling regime, and find that the stable value in the long-time limit is determined exclusively by the number of qubits. The evolution period of QD and GQD gets longer as the dipole–dipole interaction (DDI) strength increases, which helps prolong the correlation time and thus preserves the quantum correlation under the weak coupling regime. Further analysis reveals notable differences between the CBR and IBRs scenarios. In the IBRs case, the decay of QD and GQD becomes slower compared to the CBR case, with both measures tending to zero at a reduced rate. Moreover, GQD consistently exhibits lower values than QD in both scenarios. These findings provide valuable insights into the selection of appropriate correlation measurement techniques for quantifying quantum correlations.
Abstract The influence of the atom’s spatial degrees of freedom and the purity of the initial state on the dynamics of Bell non-locality, entanglement, geometric measure of quantum discord (GMQD) and quantum discord in a double Jaynes–Cummings model are investigated. We study the above four quantum correlations for an initial Werner-like state between the electronic states of the two atoms and between the two cavities respectively and find that all these quantum correlations are sensitive to the wave packet width and the purity of the initial state. For Bell non-locality, we find the phenomenon of sudden death and sudden birth, whereas the other three quantum correlations decay to zero asymptotically. We find that both the wave packet width and the purity of the initial state affect the GMQD and quantum discord in a similar way and we also notice that GMQD and quantum discord always exist, except where the purity of the initial state is zero, while Bell non-locality and entanglement can occur only when the purity meets certain conditions.