Time-extensive classical and quantum correlations in thermal machines
arXiv:2108.01071 · doi:10.1103/PhysRevA.105.012410
Abstract
We study intraenvironmental classical and quantum correlations in a thermal machine, which is modeled as a driven quantum system coupled with thermal reservoirs. We compute the mutual information, the quantum discord, and the entanglement between two parts of the environment formed by oscillators centered around two different frequencies. We show that there are only two processes that generate time-extensive correlations in the long-time limit. First, there is a resonant process which is responsible for the transport of excitations between different environmental modes due to the absorption (or emission) of energy from (or into) the driving field. Second, there is a nonresonant process that transforms the energy from the external driving into pairs of excitations in two environmental modes. We show that there is a regime when the mutual information and the quantum discord between the parts of the environment correlated by these two processes grow quadratically in time, while entanglement production is time-extensive.
References in corpus (36)
- Introducing Quantum Discord
- Classical, quantum and total correlations
- Inseparability criterion for continuous variable systems
- Quantum discord and the power of one qubit
- Quantum Nonlocality without Entanglement
- Quantum Thermodynamics
- On the Power of One Bit of Quantum Information
- Experimental quantum computing without entanglement
- Almost all quantum states have non-classical correlations
- Quantum versus classical correlations in Gaussian states
- Gaussian quantum discord
- Entropy production as correlation between system and reservoir
- No-local-broadcasting theorem for quantum correlations
- The thermodynamic meaning of negative entropy
- Symplectic invariants, entropic measures and correlations of Gaussian states
- Extractable Work from Correlations
- Truly work-like work extraction
- Gaussian measures of entanglement versus negativities: the ordering of two-mode Gaussian states
- Measuring Gaussian quantum information and correlations using the Renyi entropy of order 2
- Entanglement enhances cooling in microscopic quantum fridges
- Completely Positive Maps and Classical Correlations
- Local indistinguishability and LOCC monotones
- Local indistinguishability: more nonlocality with less entanglement
- Daemonic Ergotropy: Enhanced Work Extraction from Quantum Correlations
- Entanglement and the Thermodynamic Arrow of Time
- Generalized Laws of Thermodynamics in the Presence of Correlations
- Autonomous quantum thermal machine for generating steady-state entanglement
- Correlating thermal machines and the second law at the nanoscale
- Optimality of Gaussian Discord
- Entropy Production in Open Systems: The Predominant Role of Intra-Environment Correlations
- Fundamental limits for cooling of linear quantum refrigerators
- Correlations as a resource in quantum thermodynamics
- Critical heat current for operating an entanglement engine
- Dynamics of Gaussian discord between two oscillators interacting with a common environment
- How much can we cool a quantum oscillator? A useful analogy to understand laser cooling as a thermodynamical process
- Entanglement generation in quantum thermal machines