Minimal quantum thermal machine in a bandgap environment: non-Markovian features and anti-Zeno advantage

Abstract

A minimal model of a quantum thermal machine is analyzed, where a driven two level working medium (WM) is embedded in an environment (reservoir) whose spectrum possesses bandgaps. overlap with hot or cold reservoirs whose spectra are separated by a bandgap. Approximate and exact treatments supported by analytical considerations yield a complete characterization of this thermal machine in the deep quantum domain. For slow to moderate modulation, the spectral response of the reservoirs is close to equilibrium, exhibiting sideband (Floquet) resonances in the heat currents and power output. In contrast, for faster modulation, strong-coupling and non-Markovian features give rise to correlations between the WM and the reservoirs and between the two reservoirs. Power boost of strictly quantum origin ('quantum advantage') is then found for both continuous and segmental fast modulation that leads to the anti-Zeno effect of enhanced spectral reservoir response. Such features cannot be captured by standard Markovian treatments.

30 pages, 15 figures

References in corpus (14)

• Continuous-time Monte Carlo methods for quantum impurity models
• Perspective: Numerically "exact" approach to open quantum dynamics: The hierarchical equations of motion (HEOM)
• Single-mode heat conduction by photons
• Thermodynamical Control by Frequent Quantum Measurements
• Reduced hierarchical equations of motion in real and imaginary time: Correlated initial states and thermodynamic quantities
• Quantum Thermodynamics: A Nonequilibrium Green's Functions Approach
• Tuning the Gap of a Superconducting Flux Qubit
• Minimal universal quantum heat machine
• Removing instabilities in the hierarchical equations of motion: exact and approximate projection approaches
• Non-Markov Enhancement of Maximum Power for Quantum Thermal Machines
• Engineering dynamical couplings for quantum thermodynamic tasks
• Heat transport through a superconducting artificial atom
• Energy backflow in strongly coupled non-Markovian continuous-variables systems
• Asymptotic Floquet states of non-Markovian systems

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