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

B. Dóra, Frank Pollmann, József Fortágh, G. Zaránd

Research output: Contribution to journalArticle

47 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 - Jul 23 2013

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orthogonality
echoes
liquids
interferometry
quenching
exponents
decay
products
spectroscopy
atoms
interactions

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Loschmidt echo and the many-body orthogonality catastrophe in a qubit-coupled luttinger liquid. / Dóra, B.; Pollmann, Frank; Fortágh, József; Zaránd, G.

In: Physical Review Letters, Vol. 111, No. 4, 046402, 23.07.2013.

Research output: Contribution to journalArticle

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