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Luttinger-liquid universality in the time evolution after an interaction quench
C Karrasch1, J Rentrop, D Schuricht
1Department of Physics, University of California, Berkeley, 95720, USA.
Physical Review Letters
|September 26, 2012
Summary
We show that the relaxation dynamics of 1D metallic Fermi systems exhibit universal behavior in the Luttinger liquid sense. This universal behavior is described by functions of the Luttinger liquid parameter and renormalized velocity.
Area of Science:
- Condensed Matter Physics
- Quantum Many-Body Systems
Background:
- One-dimensional (1D) metallic Fermi systems are fundamental in condensed matter physics.
- Understanding their relaxation dynamics after perturbations is crucial for characterizing their behavior.
Purpose of the Study:
- To investigate the universal aspects of relaxation dynamics in 1D metallic Fermi systems.
- To identify the key parameters governing this universal behavior.
Main Methods:
- Analytical derivation using the Tomonaga-Luttinger model.
- Numerical verification using the density-matrix renormalization group (DMRG) for spinless lattice fermions.
Main Results:
- Identified universal functions describing the leading long-time behavior of observables.
- These functions depend on the equilibrium Luttinger liquid parameter and renormalized velocity.
- Confirmed universality by comparing analytical and numerical results.
Conclusions:
- The relaxation dynamics of 1D metallic Fermi systems exhibit Luttinger liquid universality.
- The derived universal functions provide a powerful tool for analyzing these systems.
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