Two-mode squeezed vacuum state coupled to the common thermal reservoir

Details Two-mode squeezed vacuum state coupled to the common thermal reservoir Two-mode squeezed vacuum state coupled to the common thermal reservoir

2002-11-19

arxiv.org/abs/quant-ph/0211114v6

J. Phys. A 37, (2004) L173 - L181

Physics

Quantum Physics

replaced with version published in J. Phys. A

Scientific paper

Entangled states play a crucial role in quantum information protocols, thus the dynamical behavior of entanglement is of a great importance. In this paper we consider a two-mode squeezed vacuum state coupled to one thermal reservoir as a model of an entangled state embedded in an environment. As a criterion for entanglement we use a continuous-variable equivalent of the Peres-Horodecki criterion, namely the Simon criterion. To quantify entanglement we use the logarithmic negativity. We derive a condition, which assures that the state remains entangled in spite of the interaction with the reservoir. Moreover for the case of interaction with vacuum as an environment we show that a state of interest after intinitely long interaction is not only entangled, but also pure. For comparison we also consider a model in which each of both modes is coupled to its own reservoir.

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