Crossover from adiabatic to sudden interaction quench in a Luttinger liquid

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Abstract

Motivated by recent experiments on interacting cold atoms, we analyze interaction quenches in Luttinger liquids (LLs), where the interaction is ramped from zero to a finite value within a finite time. The fermionic single particle density matrix reveals several regions of spatial and temporal coordinates relative to the quench time, termed as Fermi liquid, sudden quench LL, adiabatic LL regime, and a LL regime with a time-dependent exponent. The various regimes can also be observed in the momentum distribution of the fermions, directly accessible through time of flight experiments. Most of our results apply to arbitrary quench protocols.

Original languageEnglish
Article number156406
JournalPhysical review letters
Volume106
Issue number15
DOIs
Publication statusPublished - Apr 14 2011

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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