Tuesday, April 23, 2013

1304.5889 (D. M. Kennes et al.)

Luttinger liquid properties of the steady state after a quantum quench    [PDF]

D. M. Kennes, V. Meden
We study the dynamics resulting out of an abrupt change of the two-particle interaction in models of closed one-dimensional Fermi systems: the field theoretical Tomonaga-Luttinger model and a microscopic lattice model. Using a nonperturbative approach which is controlled for small two-particle interactions we are able to reach large times allowing us to access the properties of the steady state of the lattice model. Comparing those to the exact solution of the full dynamics in the Tomonaga-Luttinger model we provide evidence for universal Luttinger liquid behavior. We show that a single impurity leads to open and perfect chain fixed points in the steady state similar to the ones found in equilibrium [Phys. Rev. Lett. 68, 1220 (1992)].
View original: http://arxiv.org/abs/1304.5889

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