Entanglement discontinuity

TL;DR

This paper studies a special class of two-mode squeezed states that exhibit a sudden change in entanglement at high squeezing levels, revealing a unique discontinuity phenomenon in infinite-dimensional quantum systems.

Contribution

It introduces a class of parametrized two-mode squeezed states and demonstrates their entanglement discontinuity at high squeezing, highlighting a novel aspect of entanglement in infinite-dimensional spaces.

Findings

States are either maximally entangled or product states depending on ta.

Entanglement exhibits a discontinuity at infinite squeezing.

Implications for entangling power of unitary operators in such systems.

Abstract

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.