Interaction Quench in Nonequilibrium Luttinger Liquids
arXiv:1310.0735 · doi:10.1103/PhysRevB.88.245405
Abstract
We study the relaxation dynamics of a nonequilibrium Luttinger liquid after a sudden interaction switch-on ("quench"), focussing on a double-step initial momentum distribution function. In the framework of the non-equilibrium bosonization, the results are obtained in terms of singular Fredholm determinants that are evaluated numerically and whose asymptotics are found analytically. While the quasi-particle 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.
11 pages, 5 figures
References in corpus (35)
- Many-Body Physics with Ultracold Gases
- Non-equilibrium coherence dynamics in one-dimensional Bose gases
- Quantum Quench in the Transverse Field Ising Chain
- Quench dynamics and non equilibrium phase diagram of the Bose-Hubbard model
- The Luttinger model following a sudden interaction switch-on
- Dephasing and the steady state in quantum many-particle systems
- Entanglement and correlation functions following a local quench: a conformal field theory approach
- Spreading of correlations and entanglement after a quench in the one-dimensional Bose-Hubbard model
- Quantum quench dynamics of the Luttinger model
- Direct measurement of the coherence length of edge states in the Integer Quantum Hall Regime
- Quantum Quench in the Transverse Field Ising Chain II: Stationary State Properties
- Long time dynamics following a quench in an integrable quantum spin chain: local versus non-local operators and effective thermal behavior
- Finite bias visibility of the electronic Mach-Zehnder interferometer
- Exploring local quantum many-body relaxation by atoms in optical superlattices
- Time evolution of correlations in strongly interacting fermions after a quantum quench
- Dynamics in the Ising field theory after a quantum quench
- Decoherence and single electron charging in an electronic Mach-Zehnder interferometer
- Tuning Energy Relaxation along Quantum Hall Channels
- Generalized Gibbs Ensemble for Heisenberg Spin Chains
- Edge-State Velocity and Coherence in a Quantum Hall Fabry-Perot Interferometer
- Correlations in an expanding gas of hard-core bosons
- Luttinger liquid universality in the time evolution after an interaction quench
- Edge Channel Interference Controlled by Landau Level Filling
- Noise dephasing in the edge states of the Integer Quantum Hall regime
- Crossover from adiabatic to sudden interaction quench in a Luttinger liquid
- Generalized Gibbs ensemble and work statistics of a quenched Luttinger liquid
- Quantum coherence engineering in the integer quantum Hall regime
- Non-equilibrium 1D many-body problems and asymptotic properties of Toeplitz determinants
- Quench dynamics of the Tomonaga-Luttinger model with momentum dependent interaction
- Linear quantum quench in the Heisenberg XXZ chain: time dependent Luttinger model description of a lattice system
- Exactly Solved Model for an Electronic Mach-Zehnder Interferometer
- Quench dynamics of one-dimensional bosons in a commensurate periodic potential: A quantum kinetic equation approach
- Quantum quench in the Luttinger model with finite temperature initial state
- Universality of Bias- and Temperature-induced Dephasing in Ballistic Electronic Interferometers
- Solution of a model for the two-channel electronic Mach-Zehnder interferometer
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- Fractionalization Waves in Two-dimensional Dirac Fermions: Quantum Imprint from One Dimension
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