PMID: 19113528Dec 31, 2008Paper

Adiabatic nonlinear probes of one-dimensional bose gases

Physical Review Letters
C De GrandiAnatoli Polkovnikov

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.

References

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Sep 4, 2008·Physical Review Letters·Roman Barankov, Anatoli Polkovnikov

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Citations

Mar 17, 2011·Physical Review Letters·C Trefzger, K Sengupta
Nov 7, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Atanu RajakAmit Dutta
Sep 28, 2010·Physical Review Letters·Mario Collura, Dragi Karevski

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