Loschmidt echo and the many-body orthogonality catastrophe in a qubit-coupled luttinger liquid

Balázs Dóra, Frank Pollmann, József Fortágh, Gergely Zaránd

Research output: Article

48 Citations (Scopus)

Abstract

We investigate the many-body generalization of the orthogonality catastrophe by studying the generalized Loschmidt echo of Luttinger liquids (LLs) after a global change of interaction. It decays exponentially with system size and exhibits universal behavior: the steady state exponent after quenching back and forth n times between 2 LLs (bang-bang protocol) is 2n times bigger than that of the adiabatic overlap and depends only on the initial and final LL parameters. These are corroborated numerically by matrix-product state based methods of the XXZ Heisenberg model. An experimental setup consisting of a hybrid system containing cold atoms and a flux qubit coupled to a Feshbach resonance is proposed to measure the Loschmidt echo using rf spectroscopy or Ramsey interferometry.

Original languageEnglish
Article number046402
JournalPhysical review letters
Volume111
Issue number4
DOIs
Publication statusPublished - júl. 23 2013

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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