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Acta Physica Sinica

Entanglement dynamics of two cavities interacting with reservoir in noninertial frame

Liang Yan, Wu Qi-Cheng, Xin Ji

Published Jan 1, 2014• 1 citation
Publisher

Abstract

We investigate the entanglement dynamics of two cavities interacting respectively with reservoir in non-inertial frames. We consider not only the influence of acceleration, but also the influence of different rates between right and left components of the Unruh single-particle state on entanglement. The result shows that the reservoir-entanglement will increase with the decrease of the cavity-entanglement when the acceleration parameter is fixed. In addition, there appears the redistribution of entanglement between particle mode and antiparticle mode, when the initial state is in a maximal by entangled state with |qR|=1. We also find that the sudden death of entanglement happens in infinite acceleration limit when |qR|=|qL|=1/√2, whereas the death of entanglement happens at finite acceleration when qR2.

DOI
10.7498/aps.63.020301

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We investigate the entanglement dynamics of two cavities interacting respectively with reservoir in non-inertial frames. We consider not only the influence of acceleration, but also the influence of different rates between right and left components of the Unruh single-particle state on entanglement. The result shows that the reservoir-entanglement will increase with the decrease of the cavity-entanglement when the acceleration parameter is fixed. In addition, there appears the redistribution of entanglement between particle mode and antiparticle mode, when the initial state is in a maximal by entangled state with |qR|=1. We also find that the sudden death of entanglement happens in infinite acceleration limit when |qR|=|qL|=1/√2, whereas the death of entanglement happens at finite acceleration when qR2.
We investigate the effects of quantum decoherence generated by the Unruh effect in non-inertial frames under an amplitude damping channel and a phase damping channel, respectively, when the Unruh single particle has right and left components. We not only consider the influence of acceleration on entanglement, but also consider the influence of different rates between right and left components of the Unruh single-particle state on entanglement. We find that when the Unruh single-particle state has right and left components, i.e. |1⟩U = q L|0⟩I|1⟩II + q R|1⟩I|0⟩II, |q R|2 + |q L|2 = 1, with q L ≠ 0, there appears the sudden death of entanglement, which occurs earlier under both the amplitude damping channel and the phase damping channel with the increase of acceleration than that when the Unruh single-particle state only has a right component (q R = 1, q L = 0). We also find that the initial entanglement decreases with decrease of q R from 1 to 1/21/2.
We study the effects of decoherence on the entanglement generated by the Unruh effect in noninertial frames by using phase flip, phase damping and depolarizing channels. It is shown that decoherence strongly influences the initial state entanglement. Entanglement sudden death can occur irrespective of the acceleration of the noninertial frame under the action of phase flip and phase damping channels. It is investigated that an early sudden death occurs for large acceleration under the depolarizing environment. Moreover, entanglement increases for a highly decohered phase flip channel.
In this paper, we consider the entanglement dynamics of two cavities interacting with independent reservoirs. When the cavity entanglement suddenly disappeared, the reservoir entanglement suddenly and necessarily appears. We study the effect of purity of initial entangled state of two cavities on the entanglement evolution, and acquire that the purity of initial entangled state of two cavities can control the apparition time of the entanglement sudden death and the entanglement sudden birth. Also, we find that the conditions on the apparition of the entanglement sudden death and the entanglement sudden birth can be generalized when the initial entangled state of cavities is not pure, which is a complement to the result in the paper [Phys. Rev. Lett.101 (2008) 080503] for the pure case.
Quantum decoherence, which appears when a system interacts with its environment in an irreversible way, plays a fundamental role in the description of quantum-to-classical transitions and has been successfully applied in some important experiments. Here, we study the decoherence in noninertial frames. It is shown that the decoherence and loss of the entanglement generated by the Unruh effect will influence each other remarkably. It is interesting to note that, in the case of the total system under decoherence, the sudden death of entanglement may appear for any acceleration. However, in the case of only Rob's qubit undergoing decoherence, sudden death may only occur when the acceleration parameter is greater than a ``critical point.''
The influence of initial entanglement on entanglement evolution under phase damping channel in noninertial frame is investigated. Compared with the scenario of amplitude damping channel, when the state parameter α has different values with the same intial entanglement, the evolution curves are identical. When the Unruh single particle state has right and left components, there is more serious quantum decoherence than the case where the Unruh single particle state has only right component with the sudden death of entanglement taking place early, and the time of sudden death of entanglement is independent of initial entanglement.
Two observers determine the entanglement between two free bosonic modes by each detecting one of the modes and observing the correlations between their measurements. We show that a state which is maximally entangled in an inertial frame becomes less entangled if the observers are relatively accelerated. This phenomenon, which is a consequence of the Unruh effect, shows that entanglement is an observer-dependent quantity in noninertial frames. In the high acceleration limit, our results can be applied to a nonaccelerated observer falling into a black hole while the accelerated one barely escapes. If the observer escapes with infinite acceleration, the state's distillable entanglement vanishes.