Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2012-03-05
Physics
Condensed Matter
Strongly Correlated Electrons
21 pages, 4 figures
Scientific paper
We study the relaxation dynamics of the one-dimensional Tomonaga-Luttinger model after an interaction quench paying particular attention to the momentum dependence of the two-particle interaction. Several potentials of different analytical form are investigated all leading to universal Luttinger liquid physics in equilibrium. The steady-state fermionic momentum distribution shows universal behavior in the sense of the Luttinger liquid phenomenology. For generic regular potentials the large time decay of the momentum distribution function towards the steady-state value is characterized by a power law with a universal exponent which only depends on the potential at zero momentum transfer. A commonly employed ad hoc procedure fails to give this exponent. Besides quenches from zero to positive interactions we also consider abrupt changes of the interaction between two arbitrary values. Additionally, we discuss the appearance of a factor of two between the steady-state momentum distribution function and the one obtained in equilibrium at equal two-particle interaction.
Meden Volker
Rentrop J.
Schuricht Dirk
No associations
LandOfFree
Quench dynamics of the Tomonaga-Luttinger model with momentum dependent interaction does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Quench dynamics of the Tomonaga-Luttinger model with momentum dependent interaction, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quench dynamics of the Tomonaga-Luttinger model with momentum dependent interaction will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-133488