Absence of Orthogonality Catastrophe after a Spatially Inhomogeneous Interaction Quench in Luttinger Liquids

B. Dóra, Frank Pollmann

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3 Citations (Scopus)

Abstract

We investigate the Loschmidt echo, the overlap of the initial and final wave functions of Luttinger liquids after a spatially inhomogeneous interaction quench. In studying the Luttinger model, we obtain an analytic solution of the bosonic Bogoliubov-de Gennes equations after quenching the interactions within a finite spatial region. As opposed to the power-law temporal decay following a potential quench, the interaction quench in the Luttinger model leads to a finite, hardly time-dependent overlap; therefore, no orthogonality catastrophe occurs. The steady state value of the Loschmidt echo after a sudden inhomogeneous quench is the square of the respective adiabatic overlaps. Our results are checked and validated numerically on the XXZ Heisenberg chain.

Original languageEnglish
Article number096403
JournalPhysical Review Letters
Volume115
Issue number9
DOIs
Publication statusPublished - Aug 27 2015

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orthogonality
echoes
liquids
interactions
quenching
wave functions
decay

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Absence of Orthogonality Catastrophe after a Spatially Inhomogeneous Interaction Quench in Luttinger Liquids. / Dóra, B.; Pollmann, Frank.

In: Physical Review Letters, Vol. 115, No. 9, 096403, 27.08.2015.

Research output: Contribution to journalArticle

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