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International Conference on Quantum Information

Dynamics of entangled coherent states under dissipation

F. Lastra, Guillermo Romero, C. E. López, Nicim Zagury, J. C. Retamal

Published Jan 1, 2008• 0 citations
Publisher

Abstract

We discuss the loss of entanglement under dissipation for a class of entangled coherent states of two modes of the electromagnetic field. The dynamics may be conveniently studied in a finite dimensional time dependent orthogonal basis for the case of superposing coherent states of real amplitudes on the line. Both asymptotic decays and finite disentanglement occur depending of the initial conditions.

DOI
10.1364/icqi.2008.jmb58

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We discuss the loss of entanglement under dissipation for a class of entangled coherent states of two modes of the electromagnetic field. The dynamics may be conveniently studied in a finite dimensional time dependent orthogonal basis for the case of superposing coherent states of real amplitudes on the line. Both asymptotic decays and finite disentanglement occur depending of the initial conditions.
We investigate theoretically an open dynamics for two modes of electromagnetic field inside a microwave cavity. The dynamics is Markovian and determined by two types of reservoirs: the ``natural'' reservoirs due to dissipation and temperature of the cavity, and an engineered one, provided by a stream of atoms passing trough the cavity, as devised by Pielawa et al. [Phys. Rev. Lett. 98, 240401 (2007)]. We found that, depending on the reservoir parameters, the system can have distinct ``phases'' for the asymptotic entanglement dynamics: it can disentangle at finite time or it can have persistent entanglement for large times, with the transition between them characterized by the possibility of asymptotical disentanglement. Incidentally, we also discuss the effects of dissipation on the scheme proposed in the above reference for generation of entangled states.
The interaction between entangled multi-particle systems with the environment leads to both local dynamics, associated with single-particle dissipation, diffusion, and decay, and to global dynamics, which may provoke the disappearance of entanglement at a finite time [1-6]. This phenomenon may occur even when single-particle decoherence is asymptotic in time, and constitutes yet another distinct trait of entanglement. It has been recently demonstrated, for two qubits under the action of independent environments, using an all-optical setup [7]. In this talk, some of the peculiarities of the dynamics of two-qubit entangled states undergoing decoherence will be reviewed, new features of the experiment realized at the Federal University of Rio de Janeiro [7] will be described, and the extension of these considerations to multi-particle entangled states will be discussed. Scaling laws for the decay of entanglement and its finite-time extinction in multi-particle systems will be discussed.
We study the non-Markovian decoherence and disentanglement dynamics of dissipative quantum systems with special emphasis on non-Gaussian continuous variable systems. The dynamics are described by the Hu-Paz-Zhang master equation of quantum Brownian motion. The time evolution of the decoherence function of a single-mode superposition is compared to the concurrence of a two-mode entangled state. It is verified that moderate non-Markovian influences slow down the decay of interference fringes and quantum correlations, while strong non-Markovian effects resulting from an out-of-resonance bath can even accelerate the loss of coherence, compared to predictions of Markovian approximations. Qualitatively different scenarios including exponential, Gaussian or algebraic decay of the decoherence function are analyzed. It is shown that partial revivals of coherence can occur in case of non-Lindblad-type dynamics.
By means of the quantum theory,the interaction between two-atoms located inside a dissipative cavity and single-mode coherent field was studied.The entanglement properties,between two atoms and between two-atoms and light fields,were analyzed.In addition,the reason that the decay of the cavity field and the detuning between the atom and cavity field affect the evolution of entanglement was discussed.The results show that when there is cavity loss,entanglement between the atoms and light fields may occur,however entanglement gradually disappear in the long time limit.Also,the detuning between the atom and cavity field significantly affects the entanglement.The entanglement between two atoms initially in the maximally entangled states is gradually weakened due to the decay of the light field,but the detuning between the atom and the cavity field can inhibit this decay.
We study the non-Markovian decoherence and disentanglement dynamics of dissipative quantum systems with special emphasis on non-Gaussian continuous variable systems. The dynamics are described by the Hu–Paz–Zhang master equation of quantum Brownian motion. The time evolution of the decoherence function of a single-mode superposition is compared to the concurrence of a two-mode entangled state. It is verified that moderate non-Markovian influences slow down the decay of interference fringes and quantum correlations, while strong non-Markovian effects resulting from an out-of-resonance bath can even accelerate the loss of coherence, compared to predictions of Markovian approximations. Qualitatively different scenarios including exponential, Gaussian or algebraic decay of the decoherence function are analyzed. It is shown that partial revivals of coherence can occur in case of non-Lindblad-type dynamics.