Double quantum dot coupled to a quantum point contact: A stochastic thermodynamics approach

Abstract

We study the nonequilibrium properties of an electronic circuit composed of a double quantum dot (DQD) channel coupled to a quantum point contact (QPC) within the framework of stochastic thermodynamics. We show that the transition rates describing the dynamics satisfy a nontrivial local detailed balance (LDB) and that the statistics of energy and particle currents across both channels obeys a fluctuation theorem (FT). We analyze two regimes where the device operates as a thermodynamic machine and study its output power and efficiency fluctuations. We show that the electrons tunneling through the QPC without interacting with the DQD have a strong effect on the device efficiency.

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• Brownian duet: A novel tale of thermodynamic efficiency
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• Fluctuations in heat engines
• Conservation laws and symmetries in stochastic thermodynamics
• Quantum Thermodynamics with Degenerate Eigenstate Coherences
• The underdamped Brownian duet and stochastic linear irreversible thermodynamics
• Efficiency large deviation function of quantum heat engines
• Thermodynamics of a continuously monitored double quantum dot heat engine in the repeated interactions framework
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• Revealing the fuel of a quantum continuous measurement-based refrigerator
• Inelastic tunneling through normal and superconducting junctions in the presence of photonic bath within Lindbladian formalism
• Entropic costs of extracting classical ticks from a quantum clock