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TT: Fachverband Tiefe Temperaturen

TT 79: Correlated Electrons - Poster Session

TT 79.73: Poster

Wednesday, April 2, 2014, 15:00–19:00, P2

Hydrodynamic long-time tails after a quantum quench — Jonathan Lux¹, •Jan Müller¹, Aditi Mitra^1,2, and Achim Rosch¹ — ¹Institut für Theoretische Physik, Universität zu Köln — ²Department of Physics, New York University

After a quantum quench, a sudden change of parameters, generic many particle quantum systems are expected to equilibrate. While a few collisions of quasi particles are usually sufficient to establish approximately local equilibrium, the eventual global equilibrium is, however, much more difficult to detect: conserved quantities have to be transported for long distances to build up a characteristic pattern of fluctuations, which takes a very long time.

Here we investigate a quantum quench of the one-dimensional bosonic Mott insulator from infinite to finite interaction strength using semiclassical methods for weak, and exact diagonalization for strong quenches. We demonstrate that equilibrium is approached only slowly, as t^−1/2 with subleading corrections, consistent with predictions from hydrodynamics.