The distribution of work performed on a NIS junction
arXiv:1506.02905 · doi:10.1088/1367-2630/18/2/023007
Abstract
We propose an experimental setup to measure the work performed in a normal-metal/insulator/superconducting (NIS) junction, subjected to a voltage change and in contact with a thermal bath. We compute the performed work and argue that the associated heat release can be measured experimentally. Our results are based on an equivalence between the dynamics of the NIS junction and that of an assembly of two-level systems subjected to a circularly polarised field, for which we can determine the work-characteristic function exactly. The average work dissipated by the NIS junction, as well as its fluctuations, are determined. From the work characteristic function, we also compute the work probability-distribution and show that it does not have a Gaussian character. Our results allow for a direct experimental test of the Crooks-Tasaki fluctuation relation.
30 pages, 2 figures
References in corpus (24)
- Fluctuation theorems: Work is not an observable
- 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
- The Statistics of the Work Done on a Quantum Critical System by Quenching a Control Parameter
- Test of Jarzynski and Crooks fluctuation relations in an electronic system
- Employing trapped cold ions to verify the quantum Jarzynski equality
- Large deviations and universality in quantum quenches
- Fluctuation theorems for continuously monitored quantum fluxes
- Microcanonical quantum fluctuation theorems
- Work distribution and edge singularities for generic time-dependent protocols in extended systems
- Employing Circuit QED to Measure Nonequilibrium Work Fluctuations
- Jarzynski equation for a simple quantum system: Comparing two definitions of work
- Recovery of free energy branches in single molecule experiments
- Statistics of work performed on a forced quantum oscillator
- Work and its fluctuations in a driven quantum system
- Non-Equilibrium Dynamics of a Noisy Quantum Ising Chain: statistics of the work and prethermalization after a sudden quench of the transverse field
- Thermodynamics and Fluctuation Theorems for a Strongly Coupled Open Quantum System: An Exactly Solvable Case
- Statistics of work and fluctuation theorems for microcanonical initial states
- Finite Bath Fluctuation Theorem
- Quantum Bochkov-Kuzovlev Work Fluctuation Theorems
- Universal energy distribution of quasi-particles emitted in a local time dependent quench
- Multifractality of random eigenfunctions and generalization of Jarzynski equality
- Demonstration of Jarzynski's Equality in Open Quantum Systems Using a Step-Wise Pulling Protocol