Physical realisations of an autonomous quantum fluctuation relation with coherences
Z. Holmes1, D. Jennings1, 2, J. Anders3, and F. Mintert1
1Controlled Quantum Dynamics Theory Group, Imperial College London, Prince Consort Road, London SW7 2BW, United Kingdom
2Department of Physics, University of Oxford, Oxford, OX1 3PU, UK
3CEMPS, Physics and Astronomy, University of Exeter, Exeter, EX4 4QL, United Kingdom
Recent studies from the quantum information theoretic approach to thermodynamics show that the presence of coherence in quantum systems generates corrections to classical uctuation theorems. To explicate the physical origins and implications of such corrections, we here convert an abstract framework of an autonomous quantum Crooks relation into quantum Crooks equalities for well-known coherent, queezed and cat states. We further provide a proposal for a concrete experimental scenario to test these equalities. Our scheme consists of the autonomous evolution of a trapped ion and uses a position dependent AC Stark shift.