Entanglement discontinuity

Details Entanglement discontinuity Entanglement discontinuity

2010-03-18

arxiv.org/abs/1003.3504v1

Physics

Quantum Physics

5 pages, 3 figures

Scientific paper

We identify a class of two-mode squeezed states which are parametrized by an angular variable ${0\le\theta<2\pi}$ and a squeezing parameter $r$. We show that, for a large squeezing value, these states are either (almost) maximally entangled or product states depending on the value of $\theta$. This peculiar behavior of entanglement is unique for infinite dimensional Hilbert space and has consequences for the entangling power of unitary operators in such systems. Finally, we show that, at the limit ${r\to\infty}$ these states demonstrate a discontinuity attribute of entanglement.

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