Wednesday, November 7, 2012

1211.1195 (Frank Pollmann et al.)

Linear quantum quench in the Heisenberg XXZ chain: Out of equilibrium
Luttinger liquid description of a lattice system
   [PDF]

Frank Pollmann, Masudul Haque, Balázs Dóra
We study variable-rate linear quenches in the anisotropic Heisenberg (XXZ) chain, starting at the XX point. This is equivalent to swithcing on a nearest neighbour 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, iTEBD) 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 non-equilibrium situation.
View original: http://arxiv.org/abs/1211.1195

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