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
|
Text
1211.1195v2.pdf Download (372kB) | Preview |
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 |
Actions (login required)
![]() |
Edit Item |