Journal
PHYSICAL REVIEW LETTERS
Volume 106, Issue 15, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.106.156406
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Funding
- Hungarian Scientific Research Funds [K72613, K73361, CNK80991, TAMOP-4.2.1/B-09/1/KMR-2010-0002]
- Hungarian Academy of Sciences
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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.
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