Dinh, Stephane Ngo, Bagrets, Dmitry A. and Mirlin, Alexander D. ORCID: 0000-0002-9986-3521 (2013). Interaction quench in nonequilibrium Luttinger liquids. Phys. Rev. B, 88 (24). COLLEGE PK: AMER PHYSICAL SOC. ISSN 2469-9969

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Abstract

We study the relaxation dynamics of a nonequilibrium Tomonaga-Luttinger model after a sudden interaction switch-on (quench), focusing on a double-step initial momentum distribution function. In the framework of the nonequilibrium bosonization, the results are obtained in terms of singular Fredholm determinants that are evaluated numerically and whose asymptotics are found analytically. While the quasiparticle weights decay exponentially with time after the quench, this is not a relaxation into a thermal state, in view of the integrability of the model. The steady-state distribution emerging at infinite times retains two edges which support Luttinger-liquid-like power-law singularities smeared by dephasing. The obtained critical exponents and the dephasing length are found to depend on the initial nonequilibrium state.

Item Type: Journal Article
Creators:
CreatorsEmailORCIDORCID Put Code
Dinh, Stephane NgoUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Bagrets, Dmitry A.UNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Mirlin, Alexander D.UNSPECIFIEDorcid.org/0000-0002-9986-3521UNSPECIFIED
URN: urn:nbn:de:hbz:38-470319
DOI: 10.1103/PhysRevB.88.245405
Journal or Publication Title: Phys. Rev. B
Volume: 88
Number: 24
Date: 2013
Publisher: AMER PHYSICAL SOC
Place of Publication: COLLEGE PK
ISSN: 2469-9969
Language: English
Faculty: Unspecified
Divisions: Unspecified
Subjects: no entry
Uncontrolled Keywords:
KeywordsLanguage
QUANTUM; TOEPLITZ; DYNAMICSMultiple languages
Materials Science, Multidisciplinary; Physics, Applied; Physics, Condensed MatterMultiple languages
URI: http://kups.ub.uni-koeln.de/id/eprint/47031

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