Crossover from adiabatic to sudden interaction quench in a Luttinger liquid

Details Crossover from adiabatic to sudden interaction quench in a Luttinger liquid Crossover from adiabatic to sudden interaction quench in a Luttinger liquid

2010-11-30

arxiv.org/abs/1011.6655v2

Phys. Rev. Lett. 106, 156406 (2011)

Physics

Condensed Matter

Strongly Correlated Electrons

6 pages, 2 figures

Scientific paper

10.1103/PhysRevLett.106.156406

Motivated by recent experiments on interacting cold atoms, we analyze interaction quenches in Luttinger liquids (LL), 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 regimes, and a LL regime with 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.

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