Quantifying the decay of quantum properties in single-mode states

TL;DR

This paper analytically compares the dissipative dynamics of Gaussian squeezed states and coherent superposition states, focusing on how quantum properties decay over time and their dependence on initial conditions.

Contribution

It provides analytical expressions for the decay of quantum properties in GSS and CSS, highlighting differences in their robustness and experimental implications.

Findings

Squeezing in CSS is only visible at low field intensities.

Squeezing in GSS is independent of initial intensity.

Asymptotic dynamics of GSS and CSS are similar.

Abstract

The dissipative dynamics of Gaussian squeezed states (GSS) and coherent superposition states (CSS) are analytically obtained and compared. Time scales for sustaining different quantum properties such as squeezing, negativity of the Wigner function or photon number distribution are calculated. Some of these characteristic times also depend on initial conditions. For example, in the particular case of squeezing, we find that while the squeezing of CSS is only visible for small enough values of the field intensity, in GSS it is independent of this quantity, which may be experimentally advantageous. The asymptotic dynamics however is quite similar as revealed by the time evolution of the fidelity between states of the two classes.