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Statistics of the work done by splitting a one-dimensional quasicondensate

Spyros Sotiriadis1,2, Andrea Gambassi2,3, and Alessandro Silva2,4

  • 1Dipartimento di Fisica dell'Università di Pisa and INFN, Largo B. Pontecorvo 3, 56127 Pisa, Italy
  • 2SISSA-International School for Advanced Studies, via Bonomea 265, 34136 Trieste, Italy
  • 3INFN-Istituto Nazionale di Fisica Nucleare, sezione di Trieste
  • 4Abdus Salam ICTP, Strada Costiera 11, 34151 Trieste, Italy

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Phys. Rev. E 87, 052129 – Published 23 May, 2013

DOI: https://doi.org/10.1103/PhysRevE.87.052129

Abstract

Motivated by experiments on splitting one-dimensional quasicondensates, we study the statistics of the work done by a quantum quench in a bosonic system. We discuss the general features of the probability distribution of the work and focus on its behavior at the lowest energy threshold, which develops an edge singularity. A formal connection between this probability distribution and the critical Casimir effect in thin classical films shows that certain features of the edge singularity are universal as the postquench gap tends to zero. Our results are quantitatively illustrated by an exact calculation for noninteracting bosonic systems. The effects of finite system size, dimensionality, and nonzero initial temperature are discussed in detail.

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Outline

Information

Phys. Rev. E 87, 052129– Published 23 May, 2013
  • Received 4 March 2013
Article part of CHORUS

©2013 American Physical Society

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