Stochastic thermodynamics of a quantum dot coupled to a finite-size reservoir

• URL: http://arxiv.org/abs/2307.06679v3
• Date: Mon, 1 Apr 2024 22:57:52 GMT
• Title: Stochastic thermodynamics of a quantum dot coupled to a finite-size reservoir
• Authors: Saulo V. Moreira, Peter Samuelsson, Patrick P. Potts,
• Abstract summary: In nano-scale systems coupled to finite-size reservoirs, the reservoir temperature may fluctuate due to heat exchange between the system and the reservoirs. Here we analyze a single-level quantum dot tunnel coupled to a finite-size electronic reservoir. Based on a fluctuation theorem, we identify the appropriate entropy production that results in a thermodynamically consistent statistical description.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: In nano-scale systems coupled to finite-size reservoirs, the reservoir temperature may fluctuate due to heat exchange between the system and the reservoirs. To date, a stochastic thermodynamic analysis of heat, work and entropy production in such systems is however missing. Here we fill this gap by analyzing a single-level quantum dot tunnel coupled to a finite-size electronic reservoir. The system dynamics is described by a Markovian master equation, depending on the fluctuating temperature of the reservoir. Based on a fluctuation theorem, we identify the appropriate entropy production that results in a thermodynamically consistent statistical description. We illustrate our results by analyzing the work production for a finite-size reservoir Szilard engine.

Related papers

• Quantum stochastic thermodynamics in the mesoscopic-leads formulation [0.0]
  We introduce a numerical method to sample the distributions of charge, heat, and entropy production in open quantum systems. Our method exploits the mesoscopic-leads formulation, where macroscopic reservoirs are modeled by a finite collection of modes.
  arXiv  Detail & Related papers  (2024-04-09T16:17:48Z)
• Entropy production in the mesoscopic-leads formulation of quantum thermodynamics [0.0]
  entropy production of systems strongly coupled to thermal baths is a core problem of quantum thermodynamics and mesoscopic physics. Recently, the mesoscopic leads approach has emerged as a powerful method for studying such quantum systems strongly coupled to multiple thermal baths. We show numerically, that a system coupled to a single bath exhibits a thermal fixed point at the level of the embedding.
  arXiv  Detail & Related papers  (2023-12-19T19:00:04Z)
• Transient Temperature Dynamics of Reservoirs Connected Through an Open Quantum System [0.0]
  We investigate the transient dynamics of several bosonic reservoirs connected through an open quantum system. We show that there are various types of temperature dynamics that strongly depend on the values of dissipative rates and initial temperatures. The obtained results pave the way for managing energy flows in mesoscale and nanoscale systems.
  arXiv  Detail & Related papers  (2023-12-19T14:57:46Z)
• Temperature fluctuations in mesoscopic systems [0.060433560286877776]
  We study temperature fluctuations in mesoscopic $N$-body systems undergoing non-equilibrium processes. Also, we examine the impact of temperature fluctuations in a finite-size quasi-static Carnot engine.
  arXiv  Detail & Related papers  (2023-09-27T08:38:52Z)
• Dynamically Emergent Quantum Thermodynamics: Non-Markovian Otto Cycle [49.1574468325115]
  We revisit the thermodynamic behavior of the quantum Otto cycle with a focus on memory effects and strong system-bath couplings. Our investigation is based on an exact treatment of non-Markovianity by means of an exact quantum master equation.
  arXiv  Detail & Related papers  (2023-08-18T11:00:32Z)
• Thermodynamics of adiabatic quantum pumping in quantum dots [50.24983453990065]
  We consider adiabatic quantum pumping through a resonant level model, a single-level quantum dot connected to two fermionic leads. We develop a self-contained thermodynamic description of this model accounting for the variation of the energy level of the dot and the tunnelling rates with the thermal baths.
  arXiv  Detail & Related papers  (2023-06-14T16:29:18Z)
• Quantum Fisher Information for Different States and Processes in Quantum Chaotic Systems [77.34726150561087]
  We compute the quantum Fisher information (QFI) for both an energy eigenstate and a thermal density matrix. We compare our results with earlier results for a local unitary transformation.
  arXiv  Detail & Related papers  (2023-04-04T09:28:19Z)
• Quantum stochastic thermodynamics: A semiclassical theory in phase space [0.0]
  A formalism for quantum many-body systems is proposed through a semiclassical treatment in phase space. We use a Fokker-Planck equation as the dynamics at the mesoscopic level. We define thermodynamic quantities based on the trajectories of the phase-space distribution.
  arXiv  Detail & Related papers  (2023-03-10T14:12:14Z)
• Gauge Quantum Thermodynamics of Time-local non-Markovian Evolutions [77.34726150561087]
  We deal with a generic time-local non-Markovian master equation. We define current and power to be process-dependent as in classical thermodynamics. Applying the theory to quantum thermal engines, we show that gauge transformations can change the machine efficiency.
  arXiv  Detail & Related papers  (2022-04-06T17:59:15Z)
• Fast Thermalization from the Eigenstate Thermalization Hypothesis [69.68937033275746]
  Eigenstate Thermalization Hypothesis (ETH) has played a major role in understanding thermodynamic phenomena in closed quantum systems. This paper establishes a rigorous link between ETH and fast thermalization to the global Gibbs state. Our results explain finite-time thermalization in chaotic open quantum systems.
  arXiv  Detail & Related papers  (2021-12-14T18:48:31Z)
• Out-of-equilibrium quantum thermodynamics in the Bloch sphere: temperature and internal entropy production [68.8204255655161]
  An explicit expression for the temperature of an open two-level quantum system is obtained. This temperature coincides with the environment temperature if the system reaches thermal equilibrium with a heat reservoir. We show that within this theoretical framework the total entropy production can be partitioned into two contributions.
  arXiv  Detail & Related papers  (2020-04-09T23:06:43Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.