Crossover from Adiabatic to Sudden Interaction Quench in a Luttinger Liquid

Balázs Dóra, Masudul Haque, and Gergely Zaránd
Phys. Rev. Lett. 106, 156406 – Published 14 April 2011
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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.

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  • Received 8 December 2010

DOI:https://doi.org/10.1103/PhysRevLett.106.156406

© 2011 American Physical Society

Authors & Affiliations

Balázs Dóra1,*, Masudul Haque2, and Gergely Zaránd3

  • 1Department of Physics, Budapest University of Technology and Economics, Budafoki út 8, 1111 Budapest, Hungary
  • 2Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Strasse 38, 01187 Dresden, Germany
  • 3Department of Theoretical Physics, Budapest University of Technology and Economics, H-1521 Budapest, Hungary

  • *dora@kapica.phy.bme.hu

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Vol. 106, Iss. 15 — 15 April 2011

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