Abstract

We identify a class of two-mode squeezed states which are parametrized by an angular variable θ 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 θ. This peculiar behavior of entanglement is unique for infinite-dimensional Hilbert space and has consequences, eg, for the entangling power of unitary operators in such systems. Finally, we show that, at the limit r→∞, these states demonstrate a discontinuity attribute of entanglement.

Date

April 15, 2010

Authors

Amir Kalev, Faqir C Khanna, Michael Revzen

Journal

Journal of Physics A: Mathematical and Theoretical

Volume

43

Issue

18

Pages

185302

Publisher

IOP Publishing