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Adiabatic nonlinear probes of one-dimensional bose gases.

Authors
  • De Grandi, C
  • Barankov, R A
  • Polkovnikov, A
Type
Published Article
Journal
Physical review letters
Publication Date
Dec 05, 2008
Volume
101
Issue
23
Pages
230402–230402
Identifiers
PMID: 19113528
Source
Medline
License
Unknown

Abstract

We discuss two complimentary problems: adiabatic loading of one-dimensional bosons into an optical lattice and merging two one-dimensional Bose systems. Both problems can be mapped to the sine-Gordon model. This mapping allows us to find power-law scalings for the number of excitations with the ramping rate in the regime where the conventional linear response approach fails. We show that the exponent of this power law is sensitive to the interaction strength. In particular, the response is larger, or less adiabatic, for strongly (weakly) interacting bosons for the loading (merging) problem. Our results illustrate that in general the nonlinear response to slow relevant perturbations can be a powerful tool for characterizing properties of interacting systems.

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