Parametric Excitation of a 1D Gas in Integrable and Nonintegrable Cases

M. Colome-Tatche*, D. S. Petrov

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

7 Citations (Scopus)

Abstract

We study the response of a highly excited 1D gas with pointlike interactions to a periodic modulation of the coupling constant. We calculate the corresponding dynamic structure factors and show that their low-frequency behavior differs dramatically for integrable and nonintegrable models. Nonintegrable systems are sensitive to excitations with frequencies as low as the mean level spacing, whereas much higher frequencies are required to excite an integrable system. This effect can be used as a probe of integrability for mesoscopic 1D systems and can be observed experimentally by measuring the heating rate of a parametrically excited gas.

Original languageEnglish
Article number125302
Number of pages4
JournalPhysical Review Letters
Volume106
Issue number12
DOIs
Publication statusPublished - 23-Mar-2011
Externally publishedYes

Keywords

  • LEVEL SPACING STATISTICS
  • INTERACTING BOSE-GAS
  • TONKS-GIRARDEAU GAS
  • LANDAU FIXED-POINT
  • OPTICAL LATTICE
  • QUANTUM CHAOS
  • DIMENSION
  • SYSTEMS
  • CONNECTION
  • BREAKDOWN

Cite this