Linear quantum quench in the Heisenberg XXZ chain: Time-dependent Luttinger-model description of a lattice system

Frank Pollmann, Masudul Haque, B. Dóra

Research output: Contribution to journalArticle

20 Citations (Scopus)

Abstract

We study variable-rate linear quenches in the anisotropic Heisenberg (XXZ) chain, starting at the XX point. This is equivalent to switching on a nearest-neighbor interaction for hard-core bosons or an interaction quench for free fermions. The physical observables we investigate are the energy pumped into the system during the quench, the spin-flip correlation function, and the bipartite fluctuations of the z component of the spin in a box. We find excellent agreement between exact numerics (infinite system time-evolving block decimation) and analytical results from bosonization, as a function of the quench time, spatial coordinate, and interaction strength. This provides a stringent and much-needed test of Luttinger liquid theory in a nonequilibrium situation.

Original languageEnglish
Article number041109
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume87
Issue number4
DOIs
Publication statusPublished - Jan 31 2013

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Bosons
Fermions
Liquids
interactions
boxes
bosons
fermions
liquids
energy

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Electronic, Optical and Magnetic Materials

Cite this

Linear quantum quench in the Heisenberg XXZ chain : Time-dependent Luttinger-model description of a lattice system. / Pollmann, Frank; Haque, Masudul; Dóra, B.

In: Physical Review B - Condensed Matter and Materials Physics, Vol. 87, No. 4, 041109, 31.01.2013.

Research output: Contribution to journalArticle

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