Thermalization Dynamics of Entanglement and non-Locality of Filtered Two-Mode Squeezed States
arXiv:2409.07349 · doi:10.1364/OE.543149
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
arXiv comment11 pages, 10 figures
References in corpus (15)
- Peres-Horodecki separability criterion for continuous variable systems
- Conditional Quantum Dynamics and Logic Gates
- Long term performance of the SwissQuantum quantum key distribution network in a field environment
- Nonlocality of Einstein-Podolsky-Rosen State in Wigner Representation
- Robust entanglement of a micromechanical resonator with output optical fields
- Quantum Nonlocality in Phase Space
- Contradiction of Quantum Mechanics with Local Hidden Variables for Continuous Variable Quadrature Phase Amplitude Measurements
- Dynamics of Nonlocality for A Two-Mode Squeezed State in Thermal Environment
- Direct measurement and reconstruction of nonclassical features of twin beams generated in spontaneous parametric down-conversion
- Decoherence and Entanglement in Two-mode Squeezed Vacuum States
- Overcoming the SQL in gravitational wave detectors using spin systems with negative effective mass
- Optimal States for Bell inequality Violations using Quadrature Phase Homodyne Measurements
- Experimentally realizable characterizations of continuous variable Gaussian states
- Feedback Control of Two-mode Output Entanglement and Steering in Cavity Optomechanics
- Entanglement and squeezing of continuous-wave stationary light