Thermalization Dynamics of Entanglement and non-Locality of Filtered Two-Mode Squeezed States

TL;DR

This paper investigates how entanglement and non-locality between spectral components of two-mode squeezed states decay in thermal environments, revealing the effects of initial squeezing, thermal noise, and filtering on their dynamics.

Contribution

It provides a detailed analysis of the thermalization dynamics of entanglement and non-locality in filtered two-mode squeezed states under different thermal scenarios, highlighting conditions for their preservation and decay.

Findings

Higher initial squeezing delays entanglement decay initially.

Increased thermal noise accelerates dissipation of entanglement and non-locality.

Stronger interactions slow down the dissipation process.

Abstract

We explore how entanglement and non-locality evolve between specific spectral components of two-mode squeezed states in thermal environments. These spectral components are extracted from output modes using filters that are frequently utilized in optomechanical systems. We consider two distinct thermalization scenarios: one occurring in the vacuum state prior to entering the nonlinear crystal for squeezing, and another after the generation of the two-mode squeezed vacuum but before passing through filters and detectors. Entanglement and non-locality generally remain at their peak when identical filters are applied throughout. In the first scenario, higher initial squeezing levels cause the dissipation of entanglement to begin slower, then accelerate over time, while the dissipation rate of non-locality moreover stays consistent. In the second scenario, greater squeezing results in a more rapid loss of both entanglement and non-locality. We identify the evolution of specific boundaries for entanglement and non-locality and the conditions for their optimization. Finally, for all the cases, increasing the thermal population of the environment enhances the rate of dissipation, whereas stronger interaction slows dissipation in a normalized dimensionless time scale