Quantum Quenches in the Luttinger model and its close relatives
arXiv:1603.04252 · doi:10.1088/1742-5468/2016/06/064004
Abstract
A number of results on quantum quenches in the Luttinger and related models are surveyed with emphasis on post-quench correlations. For the Luttinger model and initial gaussian states, we discuss both sudden and smooth quenches of the interaction and the emergence of a steady state described by a generalized Gibbs ensemble. Comparisons between analytics and numerics, and the question of universality or lack thereof are also discussed. The relevance of the theoretical results to current and future experiments in the fields of ultracold atomic gases and mesoscopic systems of electrons is also briefly touched upon. Wherever possible, our approach is pedagogical and self-contained. This work is dedicated to the memory of our colleague Alejandro Muramatsu.
51+epsilon pages. Review article for or special issue of JSTAT on non-equilibrium dynamics in integrable systems, Feedback is welcome
References in corpus (43)
- Thermalization and its mechanism for generic isolated quantum systems
- Matrix Product States, Projected Entangled Pair States, and variational renormalization group methods for quantum spin systems
- Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States
- Real time evolution using the density matrix renormalization group
- Quantum Quench in the Transverse Field Ising Chain
- Generalized Gibbs ensemble in integrable lattice models
- Experimental Observation of a Generalized Gibbs Ensemble
- The Luttinger model following a sudden interaction switch-on
- Interaction Quench in the Hubbard model
- Dynamical phase transition in correlated fermionic lattice systems
- Exact relaxation in a class of non-equilibrium quantum lattice systems
- Bosonizing one-dimensional cold atomic gases
- Dephasing and the steady state in quantum many-particle systems
- Quantum quenches in 1+1 dimensional conformal field theories
- Quenching the Anisotropic Heisenberg Chain: Exact Solution and Generalized Gibbs Ensemble Predictions
- Generalized Thermalization in an Integrable Lattice System
- Correlations after quantum quenches in the XXZ spin chain: Failure of the Generalized Gibbs Ensemble
- Quantum quench dynamics of the Luttinger model
- Nonthermal steady states after an interaction quench in the Falicov-Kimball model
- Dynamical Correlations after a Quantum Quench
- Entanglement scaling in critical two-dimensional fermionic and bosonic systems
- Validity of the GGE for quantum quenches from interacting to noninteracting models
- Relaxation of a one-dimensional Mott insulator after an interaction quench
- Ground-state fidelity in one-dimensional gapless model
- The dynamics and prethermalization of one dimensional quantum systems probed through the full distributions of quantum noise
- Quantum quench in the sine-Gordon model
- Quantum quench dynamics of the sine-Gordon model in some solvable limits
- Thermalization and Revivals after a Quantum Quench in Conformal Field Theory
- Quenching the XXZ spin chain: quench action approach versus generalized Gibbs ensemble
- Quenches in a quasi-disordered integrable lattice system: Dynamics and statistical description of observables after relaxation
- Luttinger liquid universality in the time evolution after an interaction quench
- Universal Rephasing Dynamics after a Quantum Quench via Sudden Coupling of Two Initially Independent Condensates
- Equilibration Properties of Classical Integrable Field Theories
- Crossover from adiabatic to sudden interaction quench in a Luttinger liquid
- Prethermalization in one-dimensional Bose gases: description by a stochastic Ornstein-Uhlenbeck process
- Dissipation-driven quantum phase transitions in a Tomonaga-Luttinger liquid electrostatically coupled to a metallic gate
- Relaxation and Thermalization after a Quantum Quench: Why Localization is Important
- Quantum quench in long-range field theories
- Identifying a bath-induced Bose liquid in interacting spin-boson models
- Linear quantum quench in the Heisenberg XXZ chain: time dependent Luttinger model description of a lattice system
- Fermionic suppression of dipolar relaxation: Observation of universal inelastic dipolar scattering
- Ground-state fidelity of Luttinger liquids: A wave functional approach
- Relaxation dynamics of an exactly solvable electron-phonon model
Cited by in corpus (53)
- Quantum quenches in 1+1 dimensional conformal field theories
- Ergodicity Breaking Transition in Finite Disordered Spin Chains
- Prethermalization and Thermalization in Isolated Quantum Systems
- Entanglement and matrix elements of observables in interacting integrable systems
- Signatures of rare states and thermalization in a theory with confinement
- From Interacting Particles to Equilibrium Statistical Ensembles
- Thermalization and light cones in a model with weak integrability breaking
- Time-dependent generalized Gibbs ensembles in open quantum systems
- Strong correlations in lossy one-dimensional quantum gases: from the quantum Zeno effect to the generalized Gibbs ensemble
- Finite-time universality in nonequilibrium CFT
- Time evolution of the Luttinger model with nonuniform temperature profile
- Quasi locality of the GGE in interacting-to-free quenches in relativistic field theories
- Approximate light cone effects in a non-relativistic quantum field theory after a local quench
- Non-thermal fixed points: Universal dynamics far from equilibrium
- Relaxation to gaussian and generalized Gibbs states in systems of particles with quadratic hamiltonians
- Monitoring squeezed collective modes of a one-dimensional Bose gas after an interaction quench using density ripples analysis
- Out of equilibrium density dynamics of a quenched fermionic system
- Non-monotonic response and light-cone freezing in gapless-to-(partially) gapped quantum quenches of fermionic systems
- On Truncated Generalized Gibbs Ensembles in the Ising Field Theory
- Equilibration in one-dimensional quantum hydrodynamic systems
- Quantum dynamics of impenetrable SU(N) fermions in one-dimensional lattices
- Quenches in initially coupled Tomonaga-Luttinger Liquids: a conformal field theory approach
- Numerical linked cluster expansions for quantum quenches in one dimensional lattices
- Quench-induced entanglement and relaxation dynamics in Luttinger liquids
- Engineering generalized Gibbs ensembles with trapped ions
- Dissipation-driven integrable fermionic systems: from graded Yangians to exact nonequilibrium steady states
- Universal dynamics and non-thermal fixed points in quantum fluids far from equilibrium
- Non-equilibrium effects on charge and energy partitioning after an interaction quench
- Non-equilibrium aspects of integrable models
- Suppression and Control of Pre-thermalization in Multi-component Fermi Gases Following a Quantum Quench
- A simple theory for quantum quenches in the ANNNI model
- Nonequilibrium symmetry-protected topological order: emergence of semilocal Gibbs ensembles
- Quantum adiabatic protocols using emergent local Hamiltonians
- Work extraction in an isolated quantum lattice system: Grand canonical and generalized Gibbs ensemble predictions
- Universal scaling of quench-induced correlations in a one-dimensional channel at finite temperature
- Poor man's approach to thermalization in Luttinger liquid
- Excitations in the Yang-Gaudin Bose gas
- Transient Features in Charge Fractionalization, Local Equilibration and Non-equilibrium Bosonization
- Information scrambling and redistribution of quantum correlations through dynamical evolution in spin chains
- Operator correlations in a quenched non-Hermitian Luttinger liquid
- Orthogonality catastrophe beyond bosonization from post-selection
- Quantum quench in a driven Ising chain
- Atypical energy eigenstates in the Hubbard chain and quantum disentangled liquids
- General interaction quenches in a Luttinger liquid
- Optimal protocols for finite-duration quantum quenches in the Luttinger model
- Total Energy Dynamics and Asymptotics of the Momentum Distribution Following an Interaction Quench in a Two-component Fermi Gas
- Relaxation of the entanglement spectrum in quench dynamics of topological systems
- Exact Dynamics and Shortcuts to Adiabaticity in the Tomonaga-Luttinger Liquid
- Universal Non-equilibrium I-V Curve Near Two-channel Kondo-Luttinger Quantum Critical Point
- Remotely detecting the signal of a local decohering process in spin chains
- On computing non-equilibrium dynamics following a quench
- Non-equilibrium critical scaling and universality in a quantum simulator
- Transitionless Quantum Driving of the Tomonaga-Luttinger Liquid