Experimental Test of Quantum Jarzynski Equality with a Trapped Ion System
arXiv:1409.4485 · doi:10.1038/nphys3197
Abstract
The past two decades witnessed important developments in the field of non-equilibrium statistical mechanics. Among these developments, the Jarzynski equality, being a milestone following the landmark work of Clausius and Kelvin, stands out. The Jarzynski equality relates the free energy difference between two equilibrium states and the work done on the system through far from equilibrium processes. While experimental tests of the equality have been performed in classical regime, the verification of the quantum Jarzynski equality has not yet been fully demonstrated due to experimental challenges. Here, we report an experimental test of the quantum Jarzynski equality with a single \Yb ion trapped in a harmonic potential. We perform projective measurements to obtain phonon distributions of the initial thermal state. Following that we apply the laser induced force on the projected energy eigenstate, and find transition probabilities to final energy eigenstates after the work is done. By varying the speed of applying the force from equilibrium to far-from equilibrium regime, we verified the quantum Jarzynski equality in an isolated system.
18 pages, 4 figures, 1 table
References in corpus (11)
- Quantum Thermodynamic Cycles and quantum heat engines
- Fluctuation theorems: Work is not an observable
- Single ion heat engine with maximum efficiency at maximum power
- Manipulation and Detection of a Trapped Yb+ Ion Hyperfine Qubit
- 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
- Employing trapped cold ions to verify the quantum Jarzynski equality
- Work and heat probability distribution of an optically driven Brownian particle: Theory and experiments
- Distribution of work in isothermal non-equilibrium processes
- State-independent experimental tests of quantum contextuality in a three dimensional system
- Statistics of work performed on a forced quantum oscillator
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