Dissipation of a two-mode squeezed vacuum state in the single-mode amplitude damping channel

Nanrun Zhou, Liyun Hu, Hong-Yi Fan · Chinese Physics B · 2011

We explore how a two-mode squeezed vacuum state sechθe a † b † tanhθ |00〉 evolves when it undergoes a single-mode amplitude dissipative channel with rate of decay κ. We find that in this process not only the squeezing parameter decreases, tanhθ → e −κt tanhθ, but also the second-mode vacuum state evolves into a chaotic state exp{ b † b ln[(1 − e −2κt )tanh 2 θ]}. The outcome state is no more a pure state, but an entangled mixed state.

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