Universität zu Köln

Buchhold, Michael ORCID: 0000-0001-5194-9388, Heyl, Markus ORCID: 0000-0002-7126-1836 and Diehl, Sebastian (2016). Prethermalization and thermalization of a quenched interacting Luttinger liquid. Phys. Rev. A, 94 (1). COLLEGE PK: AMER PHYSICAL SOC. ISSN 2469-9934

Full text not available from this repository.

Abstract

We study the relaxation dynamics of interacting one-dimensional fermions with band curvature after a weak quench in the interaction parameter at zero temperature. Our model lies within the class of interacting Luttinger liquids, where the harmonic Luttinger theory is extended by a weak-integrability-breaking phonon scattering term. In order to solve for the nonequilibrium time evolution, we use quantum kinetic equations exploiting the resonant but subleading character of the phonon interaction term. The interplay between phonon scattering and the quadratic Luttinger theory leads to the emergence of three distinct spatiotemporal regimes for the fermionic real-space correlation function. It features the crossover from a prequench to a prethermal state, finally evolving towards a thermal state on increasing length and time scales. The characteristic algebraically decaying real-space correlations in the prethermalized regime become modulated by an amplitude that is decaying in time according to a stretched exponential as an effect of the interactions. The asymptotic thermalization dynamics is governed by energy transport over large distances from the thermalized to the nonthermalized regions via macroscopic, dynamical slow modes. This is revealed in an algebraic decay of the system's effective temperature. The numerical value of the associated exponent agrees with the dynamical critical exponent of the Kardar-Parisi-Zhang universality class. We also discuss a criterion for the applicability of this theory away from the integrable limit of noninteracting fermions.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Buchhold, Michael UNSPECIFIED orcid.org/0000-0001-5194-9388 UNSPECIFIED Heyl, Markus UNSPECIFIED orcid.org/0000-0002-7126-1836 UNSPECIFIED Diehl, Sebastian UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-270038
DOI:	10.1103/PhysRevA.94.013601
Journal or Publication Title:	Phys. Rev. A
Volume:	94
Number:	1
Date:	2016
Publisher:	AMER PHYSICAL SOC
Place of Publication:	COLLEGE PK
ISSN:	2469-9934
Language:	English
Faculty:	Faculty of Mathematics and Natural Sciences
Divisions:	Faculty of Mathematics and Natural Sciences > Department of Physics > Institute for Theoretical Physics
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language DIMENSIONAL QUANTUM FLUIDS; MANY-BODY SYSTEM; COULOMB DRAG; FERMI GAS; DYNAMICS Multiple languages Optics; Physics, Atomic, Molecular & Chemical Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/27003