Finite-rate quenches of site bias in the Bose-Hubbard dimer

T. Venumadhav, Masudul Haque, and R. Moessner
Phys. Rev. B 81, 054305 – Published 16 February 2010

Abstract

For a Bose-Hubbard dimer, we study quenches of the site energy imbalance, taking a highly asymmetric Hamiltonian to a fully symmetric one. The ramp is carried out over a finite time that interpolates between the instantaneous and adiabatic limits. We provide results for the excess energy of the final state compared to the ground-state energy of the final Hamiltonian as a function of the quench rate. This excess energy serves as the analog of the defect density that is considered in the Kibble-Zurek picture of ramps across phase transitions. We also examine the fate of quantum “self-trapping” when the ramp is not instantaneous.

  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Received 20 January 2010

DOI:https://doi.org/10.1103/PhysRevB.81.054305

©2010 American Physical Society

Authors & Affiliations

T. Venumadhav1,2, Masudul Haque1, and R. Moessner1

  • 1Max-Planck Institute for the Physics of Complex Systems, Nöthnitzer Str. 38, 01187 Dresden, Germany
  • 2Department of Physics, Indian Institute of Technology, Kanpur 208016, India

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 81, Iss. 5 — 1 February 2010

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 B

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×