# Entanglement discontinuity

Authors
Type
Preprint
Publication Date
Mar 17, 2010
Submission Date
Mar 17, 2010
Identifiers
DOI: 10.1088/1751-8113/43/18/185302
Source
arXiv
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.