Momentum-space entanglement and Loschmidt echo in Luttinger liquids

Datum

20.07.2017

Zeit

14:00 - 15:00

Sprecher

Balazs Dora

Zugehörigkeit

Department of Theoretical Physics Faculty of Natural Sciences, BME

Sprache

en

Hauptthema

Physik

Andere Themen

Physik

Beschreibung

Luttinger liquids (LLs) arise by coupling left- and right-moving particles through interactions in one dimension. This most natural partitioning of LLs is investigated by the momentum-space entanglement using analytical and numerical methods. We show that the momentum-space entanglement spectrum of a LL possesses many universal features both in equilibrium and after a quantum quench. The largest entanglement eigenvalue is identical to the Loschmidt echo, i.e. the overlap of the disentangled and final wavefunctions of the system. The entanglement gap is universal both in equilibrium and after a quantum quench. The momentum-space entanglement entropy is always extensive and saturates fast to a time independent value after the quench, in sharp contrast to a spatial bipartitioning.

Letztmalig verändert: 20.07.2017, 09:51:34