Time-extensive classical and quantum correlations in thermal machines

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 (10)

• Quantum discord and the power of one qubit
• Experimental quantum computing without entanglement
• No-local-broadcasting theorem for quantum correlations
• The thermodynamic meaning of negative entropy
• Symplectic invariants, entropic measures and correlations of Gaussian states
• Gaussian measures of entanglement versus negativities: the ordering of two-mode Gaussian states
• Completely Positive Maps and Classical Correlations
• Fundamental limits for cooling of linear quantum refrigerators
• Dynamics of Gaussian discord between two oscillators interacting with a common environment
• Entanglement generation in quantum thermal machines

Cited by in corpus (3)

• Quantum and classical contributions to entropy production in fermionic and bosonic Gaussian systems
• General theory for thermal and nonthermal quantum linear engines
• Limits on quantum measurement engines