Entanglement of quantum oscillators coupled to different heat baths

Abstract

We study the non-equilibrium dynamics of two coupled oscillators interacting with their own heat baths of quantum scalar fields at different temperature $T_1$ and $T_2$ with bilinear couplings between them. We particularly focus on the entanglement or inseparability property of their quantum states. The critical temperatures of two respective oscillators, $T_{1c}$ and $T_{2c}$, higher than which the entanglement disappears, can be determined. It is found that when two damping parameters are largely different, say ${\gamma }_1\ll {\gamma }_2$, the critical temperature $T_{1c}$ with respect to the frequency ${\Omega }_{+}$, the higher frequency among two normal modes frequencies, can be very large, $T_{1c}\gg {\Omega }_{+}$, while $T_{2c}\propto {\Omega }_{+}$ with the possibility of hot entanglement. The entanglement of two oscillators with the temperature-dependent damping parameters ${\gamma }_{1;2,T}$ from heat baths is also discussed.

arXiv comment17 pages, 3 figures

References in corpus (22)

• Separability Criterion for Density Matrices
• A computable measure of entanglement
• Separability of Mixed States: Necessary and Sufficient Conditions
• Peres-Horodecki separability criterion for continuous variable systems
• Strong dispersive coupling of a high finesse cavity to a micromechanical membrane
• Separability criterion and inseparable mixed states with positive partial transposition
• Cooling a nanomechanical resonator with quantum back-action
• Demonstration of an ultracold micro-optomechanical oscillator in a cryogenic cavity
• A comparison of entanglement measures
• Observation of non-Markovian micro-mechanical Brownian motion
• Bringing entanglement to the high temperature limit
• Ordering States with Entanglement Measures
• Heat transport in harmonic oscillator systems with correlated baths: Application to optomechanical arrays
• Nonequilibrium Steady State in Open Quantum Systems: Influence Action, Stochastic Equation and Power Balance
• Dynamics of heat transfer between nano systems
• Quantum Limit for Driven Linear Non-Markovian Open-Quantum-Systems
• Coherence and entanglement of mechanical oscillators mediated by coupling to different baths
• Nonequilibrium dynamics of moving mirrors in quantum fields: Influence functional and Langevin equation
• Quantum Entanglement at High Temperatures? II. Bosonic Systems in Nonequilibrium Steady State
• Time evolution of entanglement entropy of moving mirrors influenced by strongly coupled quantum critical fields
• "Hot Entanglement"? -- A Nonequilibrium Quantum Field Theory Scrutiny
• Holographic Approach to Nonequilibrium Dynamics of Moving Mirrors Coupled to Quantum Critical Theories

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