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Quantum mechanical particles in a confining potential interfere with eachother while undergoing thermodynamic processes far from thermal equilibrium. Byevaluating the corresponding transition probabilities between many-particleeigenstates we obtain the quantum work distribution function, for identicalBosons and Fermions, which we compare with the case of distinguishableparticles. We find that the quantum work distributions for Bosons and Fermionssignificantly differ at low temperatures, while, as expected, at hightemperatures the work distributions converge to the classical expression. Thesefindings are illustrated with two analytically solvable examples, namely thetime-dependent infinite square well and the parametric harmonic oscillator.

Interference of Identical Particles and the Quantum Work Distribution