Exact work statistics of quantum quenches in the anisotropic XY model

Francis A. Bayocboc, Jr. and Francis N. C. Paraan
Phys. Rev. E 92, 032142 – Published 29 September 2015

Abstract

We derive exact analytic expressions for the average work done and work fluctuations in instantaneous quenches of the ground and thermal states of a one-dimensional anisotropic XY model. The average work and a quantum fluctuation relation is used to determine the amount of irreversible entropy produced during the quench, eventually revealing how the closing of the excitation gap leads to increased dissipated work. The work fluctuation is calculated and shown to exhibit nonanalytic behavior as the prequench anisotropy parameter and transverse field are tuned across quantum critical points. Exact compact formulas for the average work and work fluctuation in ground state quenches of the transverse field Ising model allow us to calculate the first singular field derivative at the critical field values.

  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Received 23 March 2015

DOI:https://doi.org/10.1103/PhysRevE.92.032142

©2015 American Physical Society

Authors & Affiliations

Francis A. Bayocboc, Jr.* and Francis N. C. Paraan

  • National Institute of Physics, University of the Philippines Diliman, 1101 Quezon City, Philippines

  • *Current address: Institute of Mathematical Sciences and Physics, University of the Philippines Los Baños, 4031 Laguna, Philippines.
  • Corresponding author: fparaan@nip.upd.edu.ph

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 92, Iss. 3 — September 2015

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review E

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×