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

Pollmann, F. and Haque, M. and Dóra, Balázs (2013) Linear quantum quench in the Heisenberg XXZ chain: Time-dependent Luttinger-model description of a lattice system. PHYSICAL REVIEW B CONDENSED MATTER AND MATERIALS PHYSICS, 87 (4). Paper-041109. ISSN 1098-0121

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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. DOI: 10.1103/PhysRevB.87.041109

Item Type: Article
Uncontrolled Keywords: STATES; DYNAMICS
Subjects: Q Science / természettudomány > QC Physics / fizika
SWORD Depositor: MTMT SWORD
Depositing User: MTMT SWORD
Date Deposited: 21 Mar 2014 13:15
Last Modified: 21 Mar 2014 21:41
URI: http://real.mtak.hu/id/eprint/11037

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