Equilibrium free energy measurement of a confined electron driven out of equilibrium

Abstract

We study out-of equilibrium properties of a quantum dot in a GaAs/AlGaAs two-dimensional electron gas. By means of single electron counting experiments, we measure the distribution of work and dissipated heat of the driven quantum dot and relate these quantities to the equilibrium free energy change, as it has been proposed by C. Jarzynski [Phys. Rev. Lett. {\bf78}, 2690 (1997)]. We discuss the influence of the degeneracy of the quantized energy state on the free energy change as well as its relation to the tunnel rates between the dot and the reservoir.

5 pages, 4 figures

References in corpus (6)

• Experimental Test of Quantum Jarzynski Equality with a Trapped Ion System
• Experimental reconstruction of work distribution and verification of fluctuation relations at the full quantum level
• Fluctuation Theorem for Arbitrary Open Quantum Systems
• Test of Jarzynski and Crooks fluctuation relations in an electronic system
• Experimental Free Energy Surface Reconstruction From Single-Molecule Force Spectroscopy Using Jarzynski's Equality
• Jarzynski equality for quantum stochastic maps

Cited by in corpus (24)

• High-power collective charging of a solid-state quantum battery
• Thermodynamic uncertainty relations including measurement and feedback
• Autonomous conversion of information to work in quantum dots
• Thermal transistor and thermometer based on Coulomb-coupled conductors
• Strong suppression of shot noise in a feedback-controlled single-electron transistor
• Detailed Fluctuation Relation for Arbitrary Measurement and Feedback Schemes
• Experimental verification of the work fluctuation-dissipation relation for information-to-work conversion
• Thermal rectification with interacting electronic channels: Exploiting degeneracy, quantum superpositions and interference
• Nonequilibrium thermodynamics of erasure with superconducting flux logic
• Roadmap on Quantum Thermodynamics
• Heat dissipation and fluctuations in a driven quantum dot
• Counting Statistics of Single Electron Transport in Bilayer Graphene Quantum Dots
• Spin-valley locked excited states spectroscopy in a one-particle bilayer graphene quantum dot
• Autonomous demon exploiting heat and information at the trajectory level
• Asymmetries of thermal processes in open quantum systems
• Quantum work statistics across a critical point: full crossover from sudden quench to the adiabatic limit
• Making the Virtual Real: Measurement-Powered Tunneling Engines
• Transfer-matrix summation of path integrals for transport through nanostructures
• Information-to-work conversion in single molecule experiments: from discrete to continuous feedback
• Measuring work in quantum many-body systems using a dynamical "work agent"
• Time-reversal symmetric Crooks and Gallavotti-Cohen fluctuation relations in driven classical Markovian systems
• Back-action effects in charge detection
• Precision of an autonomous demon exploiting nonthermal resources and information
• Fluctuations of Heat in Driven Two-State Systems: Application to Single-Electron Box with Superconducting Gap