Finite resolution ancilla-assisted measurements of quantum work distributions
arXiv:2111.15470 · doi:10.1103/PhysRevA.105.052411
Abstract
Work is an observable quantity associated with a process, however there is no Hermitian operator associated with its measurement. We consider an ancilla-assisted protocol measuring the work done on a quantum system driven by a time-dependent Hamiltonian via two von-Neumann measurements of the system's energy carried out by a measuring apparatus modeled as a free particle of finite localization and interaction time with the system. We consider system Hamiltonians which both commute and do not commute at different times, finding corrections to fluctuation relations like the Jarzynski equality and the Crooks relation. This measurement model allows us to quantify the effect that measuring has on the estimated work distribution, and associated average work done on the system and average heat exchanged with the measuring apparatus.
arXiv comment8+2 pages, 5 figures
References in corpus (20)
- A nonequilibrium equality for free energy differences
- The Entropy Production Fluctuation Theorem and the Nonequilibrium Work Relation for Free Energy Differences
- Colloquium. Quantum Fluctuation Relations: Foundations and Applications
- Quantum Thermodynamics
- Fluctuation theorems: Work is not an observable
- Description of quantum coherence in thermodynamic processes requires constraints beyond free energy
- Quantum coherence, time-translation symmetry and thermodynamics
- No-go theorem for the characterisation of work fluctuations in coherent quantum systems
- Work measurement as a generalized quantum measurement
- Full distribution of work done on a quantum system for arbitrary initial states
- Using a quantum work meter to test non-equilibrium fluctuation theorems
- Work estimation and work fluctuations in the presence of non-ideal measurements
- Measuring work and heat in ultracold quantum gases
- Measurement-dependent corrections to work distributions arising from quantum coherences
- The role of quantum coherence in energy fluctuations
- Generalized energy measurements and modified transient quantum fluctuation theorems
- Coherent fluctuation relations: from the abstract to the concrete
- Experimentally reducing the quantum measurement back-action in work distributions by a collective measurement
- Collective operations can extremely reduce work fluctuations
- Quantum mechanical work