Work distribution in a photonic system

Abstract

We present a proposal of a set-up to measure the work distribution due to an arbitrary unitary process acting on the spatial transverse degrees of freedom of a light beam. Hermite-Gaussian optical modes representing a quantum harmonic oscillator are prepared in a thermal state and sent through an interferometer. We show that the Fourier transform of the work distribution, or the characteristic function, can be obtained by measuring the intensity at the output of the interferometer. The usefulness of the approach is illustrated by calculating the work distribution for a unitary operation that displaces the linear momentum of the oscillator. We discuss the feasibility of the experiment, which can be realized with simple linear optical components.

12 pages, 10 figures, accepted for publication in Physical Review A

References in corpus (9)

• The role of quantum information in thermodynamics --- a topical review
• Experimental Test of Quantum Jarzynski Equality with a Trapped Ion System
• Work measurement as a generalized quantum measurement
• Non-equilibrium quantum fluctuations of work
• Quantum work and the thermodynamic cost of quantum measurements
• The quantum-classical correspondence principle for work distributions
• Propagation of transverse intensity correlations of a two-photon state
• Equivalence between focussed paraxial beams and the quantum harmonic oscillator
• Thermodynamics of trajectories and local fluctuation theorems for harmonic quantum networks

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• Quantum quench thermodynamics at high temperatures