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

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.

Published version, 4 pages, 2 figures

References in corpus (5)

• Many-Body Physics with Ultracold Gases
• Non-equilibrium coherence dynamics in one-dimensional Bose gases
• Supplementary Information to the paper ``Breakdown of the adiabatic limit in low dimensional gapless systems''
• Breakdown of the adiabatic limit in low dimensional gapless systems
• Dynamical density-density correlations in the one-dimensional Bose gas

Cited by in corpus (1)

• Controlling integrability in a quasi-1D atom-dimer mixture