Calorimetric measurement of work for a driven harmonic oscillator
arXiv:1607.02342 · doi:10.1103/PhysRevE.94.062122
Abstract
A calorimetric measurement has recently been proposed as a promising technique to measure thermodynamic quantities in a dissipative superconducting qubit. These measurements rely on the fact that the system is projected into energy eigenstates whenever energy is exchanged with the environment. This requirement imposes a restriction on the class of systems that can be measured in this way. Here we extend the calorimetric protocol to the measurement of a driven quantum harmonic oscillator. We employ a scheme based on the two-level approximation to define a new work quantity and show how its statistics relates to the standard two-measurement protocol. We find that for the average work the two-level approximation holds in the underdamped regime for short driving times and, in the overdamped regime, for any driving time. However, this approximation fails for the variance and higher moments of work at finite temperatures. Furthermore, we show how to relate the work statistics obtained through this scheme to the work statistics given by the two-measurement protocol.
Introduction and Abstract rephrased, 7 pages, 5 figures, supplementary material
References in corpus (12)
- QuTiP 2: A Python framework for the dynamics of open quantum systems
- Experimental Test of Quantum Jarzynski Equality with a Trapped Ion System
- Fluctuation Theorem for Arbitrary Open Quantum Systems
- Nonequilibrium fluctuations in quantum heat engines: Theory, example, and possible solid state experiments
- Assessing the non-equilibrium thermodynamics in a quenched quantum many-body system via single projective measurements
- Influence of measurements on the statistics of work performed on a quantum system
- Finite Bath Fluctuation Theorem
- Incomplete measurement of work in a dissipative two level system
- Equivalent definitions of the quantum nonadiabatic entropy production
- Heat due to system-reservoir correlations in thermal equilibrium
- Fluctuations of work in nearly adiabatically driven open quantum systems
- Comparison between quantum jumps and master equation in the presence of a finite environment