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

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Auteur principal: Agasti, Souvik
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Publié: 2024
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author Agasti, Souvik
author_facet Agasti, Souvik
contents 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
format Preprint
id arxiv_https___arxiv_org_abs_2409_07349
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Thermalization Dynamics of Entanglement and non-Locality of Filtered Two-Mode Squeezed States
Agasti, Souvik
Quantum Physics
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
title Thermalization Dynamics of Entanglement and non-Locality of Filtered Two-Mode Squeezed States
topic Quantum Physics
url https://arxiv.org/abs/2409.07349