title: Crossover from adiabatic to sudden interaction quench in a Luttinger liquid.
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.
authors.affiliation: Department of Physics, Budapest University of Technology and Economics, Budafoki út 8, 1111 Budapest, Hungary. dora@kapica.phy.bme.hu
authors.forename: Balázs
authors.initials: B
authors.lastname: Dóra
authors.forename: Masudul
authors.initials: M
authors.lastname: Haque
authors.forename: Gergely
authors.initials: G
authors.lastname: Zaránd