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Trapped Ion Quantum Computing Quantum Thermodynamics

Interference of Identical Particles and the Quantum Work Distribution

arXiv
Authors: Zongping Gong, Sebastian Deffner, H. T. Quan

Year

2014

Paper ID

47553

Status

Preprint

Abstract Read

~2 min

Abstract Words

99

Citations

N/A

Abstract

Quantum mechanical particles in a confining potential interfere with each other while undergoing thermodynamic processes far from thermal equilibrium. By evaluating the corresponding transition probabilities between many-particle eigenstates we obtain the quantum work distribution function, for identical Bosons and Fermions, which we compare with the case of distinguishable particles. We find that the quantum work distributions for Bosons and Fermions significantly differ at low temperatures, while, as expected, at high temperatures the work distributions converge to the classical expression. These findings are illustrated with two analytically solvable examples, namely the time-dependent infinite square well and the parametric harmonic oscillator.

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  • This paper contributes to the Quantum Thermodynamics research area in the Quantum Articles archive.
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  • Quantum mechanical particles in a confining potential interfere with each other while undergoing thermodynamic processes far from thermal equilibrium.

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