Gibbs mixing of partially distinguishable photons with a polarising beamsplitter membrane
arXiv:2006.00613 · doi:10.1088/1367-2630/abc602
Abstract
For a thought experiment concerning the mixing of two classical gases, Gibbs concluded that the work that can be extracted from mixing is determined by whether or not the gases can be distinguished by a semi-permeable membrane; that is, the mixing work is a discontinuous function of how similar the gases are. Here we describe an optomechanical setup that generalises Gibbs' thought experiment to partially distinguishable quantum gases. Specifically, we model the interaction between a polarising beamsplitter, that plays the role of a semi-permeable membrane, and two photon gases of non-orthogonal polarisation. We find that the work arising from the mixing of the gases is related to the potential energy associated with the displacement of the microscopic membrane, and we derive a general quantum mixing work expression, valid for any two photon gases with the same number distribution. The quantum mixing work is found to change continuously with the distinguishability of the two polarised gases. In addition, fluctuations of the work on the microscopic membrane become important, which we calculate for Fock and thermal states of the photon gases. Our findings generalise Gibbs' mixing to the quantum regime and open the door for new quantum thermodynamic (thought) experiments with quantum gases with non-orthogonal polarisations and microscopic pistons that can distinguish orthogonal polarisations.
arXiv commentFinal published version. Note the notation has been modified since the first version to make it consistent with Phys. Rev. Lett. 124, 210601, (2020)
References in corpus (27)
- Cavity Optomechanics
- Strong dispersive coupling of a high finesse cavity to a micromechanical membrane
- Fluctuation theorems: Work is not an observable
- Bose-Einstein condensation of photons in an optical microcavity
- Maximal work extraction from quantum systems
- Strong and Tunable Nonlinear Optomechanical Coupling in a Low-Loss System
- Dispersive optomechanics: a membrane inside a cavity
- Optomechanically induced transparency in membrane-in-the-middle setup at room temperature
- No-go theorem for the characterisation of work fluctuations in coherent quantum systems
- Ultralow-Noise SiN Trampoline Resonators for Sensing and Optomechanics
- Coherence and measurement in quantum thermodynamics
- Quantum fluctuation theorems, contextuality and work quasi-probabilities
- Experimental determination of irreversible entropy production in out-of-equilibrium mesoscopic quantum systems
- Multimode optomechanical dynamics in a cavity with avoided crossings
- Driven-dissipative, non-equilibrium Bose-Einstein condensation of just a few photons
- Tunable linear and quadratic optomechanical coupling for a tilted membrane within an optical cavity: theory and experiment
- Cavity optomechanics with Si3N4 membranes at cryogenic temperatures
- Experimental entanglement-enhanced work extraction based on a Maxwell's demon
- Reversible work extraction in a hybrid opto-mechanical system
- An autonomous quantum machine to measure the thermodynamic arrow of time
- Explanation of the Gibbs paradox within the framework of quantum thermodynamics
- Enhanced energy transfer to an optomechanical piston from indistinguishable photons
- A Quantum Heat Machine from Fast Optomechanics
- Thermodynamical Cost of Accessing Quantum Information
- The Gibbs Paradox
- Motion-induced enhancement of Rabi coupling between atomic ensembles in cavity optomechanics
- Thermodynamic cycle in a cavity optomechanical system