Interference of identical particles and the quantum work distribution
Abstract
Quantummechanical particles in a confining potential interfere with each other while undergoing thermodynamic processes far from thermal equilibrium. By evaluating the corresponding transition probabilities between manyparticle 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 timedependent infinite square well and the parametric harmonic oscillator.
 Publication:

Physical Review E
 Pub Date:
 December 2014
 DOI:
 10.1103/PhysRevE.90.062121
 arXiv:
 arXiv:1409.3755
 Bibcode:
 2014PhRvE..90f2121G
 Keywords:

 05.70.Ln;
 05.30.d;
 03.65.Ge;
 Nonequilibrium and irreversible thermodynamics;
 Quantum statistical mechanics;
 Solutions of wave equations: bound states;
 Condensed Matter  Statistical Mechanics;
 Condensed Matter  Quantum Gases;
 Quantum Physics
 EPrint:
 17 pages, 9 figures