Linear quantum quench in the Heisenberg XXZ chain: time dependent Luttinger model description of a lattice system
arXiv:1211.1195 · doi:10.1103/PhysRevB.87.041109
Abstract
We study variable-rate linear quenches in the anisotropic Heisenberg (XXZ) chain, starting at the XX point. This is equivalent to switching on a nearest neighbour interaction for hard-core bosons or an interaction quench for free fermions. The physical observables we investigate are: the energy pumped into the system during the quench, the spin-flip correlation function, and the bipartite fluctuations of the z component of the spin in a box. We find excellent agreement between exact numerics (infinite system time-evolving block decimation, iTEBD) and analytical results from bosonization, as a function of the quench time, spatial coordinate and interaction strength. This provides a stringent and much-needed test of Luttinger liquid theory in a non-equilibrium situation.
arXiv comment6 pages, 3 figures, minor changes, new references
References in corpus (25)
- Many-Body Physics with Ultracold Gases
- The density-matrix renormalization group in the age of matrix product states
- Nonequilibrium dynamics of closed interacting quantum systems
- Bosonization and Strongly Correlated Systems
- Colloquium. Quantum Fluctuation Relations: Foundations and Applications
- Classical simulation of infinite-size quantum lattice systems in one spatial dimension
- Dynamics of a Quantum Phase Transition and Relaxation to a Steady State
- The Luttinger model following a sudden interaction switch-on
- Theory of finite-entanglement scaling at one-dimensional quantum critical points
- Scaling of entanglement support for Matrix Product States
- Quantum quench dynamics of the Luttinger model
- Quantum quench dynamics of some exactly solvable models in one dimension
- Supplementary Information to the paper ``Breakdown of the adiabatic limit in low dimensional gapless systems''
- Breakdown of the adiabatic limit in low dimensional gapless systems
- Quantum Quench of an Atomic Mott Insulator
- General Relation between Entanglement and Fluctuations in One Dimension
- Many-body Landau-Zener dynamics in coupled 1D Bose liquids
- Universal properties of hard-core bosons confined on one-dimensional lattices
- Luttinger liquid universality in the time evolution after an interaction quench
- Crossover from adiabatic to sudden interaction quench in a Luttinger liquid
- Adiabatic quenches through an extended quantum critical region
- Slow quench dynamics of a trapped one-dimensional Bose gas confined to an optical lattice
- Interaction Quenches of Fermi Gases
- Quench dynamics of the Tomonaga-Luttinger model with momentum dependent interaction
- Correlation induced memory effects in the transport properties of low dimensional systems
Cited by in corpus (29)
- Quantum correlations and entanglement in far-from-equilibrium spin systems
- Quantum quench within the gapless phase of the spin-1/2 Heisenberg XXZ spin-chain
- Quantum Quench and Prethermalization Dynamics in A Two-Dimensional Fermi Gas with Long-range Interactions
- Quantum Quenches in the Luttinger model and its close relatives
- Memory-preserving equilibration after a quantum quench in a 1d critical model
- Time evolution during and after finite-time quantum quenches in the transverse-field Ising chain
- Time Evolution within a Comoving Window: Scaling of signal fronts and magnetization plateaus after a local quench in quantum spin chains
- Luttinger liquid properties of the steady state after a quantum quench
- Finite time interaction quench in a Luttinger model
- Quantum quench in the Luttinger model with finite temperature initial state
- Interaction Quench in Nonequilibrium Luttinger Liquids
- Non-equilibrium Floquet steady states of time-periodic driven Luttinger liquids
- Quenches in initially coupled Tomonaga-Luttinger Liquids: a conformal field theory approach
- Vaporization dynamics of a dissipative quantum liquid
- Flux quench in a system of interacting spinless fermions in one dimension
- One-dimensional fermionic systems after interaction quenches and their description by bosonic field theories
- Time evolution during and after finite-time quantum quenches in Luttinger liquids
- Universal conductance of a PT-symmetric Luttinger liquid after a quantum quench
- Marginal quenches and drives in Tomonaga-Luttinger liquids
- Escort distribution function of work done and diagonal entropies in quenched Luttinger liquids
- Thermally isolated Luttinger liquids with noisy Hamiltonians
- The Adiabatically Deformed Ensemble: Engineering Non-Thermal States of Matter
- Orthogonality catastrophe beyond bosonization from post-selection
- Operator correlations in a quenched non-Hermitian Luttinger liquid
- Optimal protocols for finite-duration quantum quenches in the Luttinger model
- Exact Dynamics and Shortcuts to Adiabaticity in the Tomonaga-Luttinger Liquid
- Finite-time quantum quenches in the XXZ Heisenberg chain
- Transitionless Quantum Driving of the Tomonaga-Luttinger Liquid
- Electrostatic solution of massless quenches in Luttinger liquids