Luttinger liquid universality in the time evolution after an interaction quench
arXiv:1205.2091 · doi:10.1103/PhysRevLett.109.126406
Abstract
We provide strong evidence that the relaxation dynamics of one-dimensional, metallic Fermi systems resulting out of an abrupt amplitude change of the two-particle interaction has aspects which are universal in the Luttinger liquid sense: The leading long-time behavior of certain observables is described by universal functions of the equilibrium Luttinger liquid parameter and the renormalized velocity. We analytically derive those functions for the Tomonaga-Luttinger model and verify our hypothesis of universality by considering spinless lattice fermions within the framework of the density matrix renormalization group.
References in corpus (18)
- Many-Body Physics with Ultracold Gases
- The density-matrix renormalization group in the age of matrix product states
- Real time evolution using the density matrix renormalization group
- Classical simulation of infinite-size quantum lattice systems in one spatial dimension
- Quantum Quench in the Transverse Field Ising Chain
- The Luttinger model following a sudden interaction switch-on
- Dephasing and the steady state in quantum many-particle systems
- Strongly correlated fermions after a quantum quench
- Quantum quench dynamics of the Luttinger model
- Effective thermal dynamics following a quantum quench in a spin chain
- Nonthermal steady states after an interaction quench in the Falicov-Kimball model
- Relaxation of a one-dimensional Mott insulator after an interaction quench
- Relaxation dynamics in the gapped XXZ spin-1/2 chain
- Quantum quenches from integrability: the fermionic pairing model
- Tomonaga-Luttinger parameters for doped Mott insulators
- Crossover from adiabatic to sudden interaction quench in a Luttinger liquid
- Quench dynamics of the Tomonaga-Luttinger model with momentum dependent interaction
- Relaxation dynamics of an exactly solvable electron-phonon model