Exact relaxation dynamics of a localized many-body state in the 1D bose gas
arXiv:1112.4244 · doi:10.1103/PhysRevLett.108.110401
Abstract
Through an exact method we numerically solve the time evolution of the density profile for an initially localized state in the one-dimensional bosons with repulsive short-range interactions. We show that a localized state with a density notch is constructed by superposing one-hole excitations. The initial density profile overlaps the plot of the squared amplitude of a dark soliton in the weak coupling regime. We observe the localized state collapsing into a flat profile in equilibrium for a large number of particles such as N=1000. The relaxation time increases as the coupling constant decreases, which suggests the existence of off-diagonal long-range order. We show a recurrence phenomenon for a small number of particles such as N=20.
5 pages, 5 figures
References in corpus (4)
Cited by in corpus (59)
- Thermalization and prethermalization in isolated quantum systems: a theoretical overview
- Rigorous Bound on Energy Absorption and Generic Relaxation in Periodically Driven Quantum Systems
- On the time scales in the approach to equilibrium of macroscopic quantum systems
- Typicality of thermal equilibrium and thermalization in isolated macroscopic quantum systems
- Extremely quick thermalization in a macroscopic quantum system for a typical nonequilibrium subspace
- Interaction quench in a Lieb-Liniger model and the KPZ equation with flat initial conditions
- Recursive formulas for the overlaps between Bethe states and product states in XXZ Heisenberg chains
- Many-body Matter-wave Dark Soliton
- Exact Quantum Decay of an Interacting Many-Particle System: the Calogero-Sutherland model
- Relaxation dynamics of the Lieb-Liniger gas following an interaction quench: A coordinate Bethe-ansatz analysis
- Lieb-Liniger model: emergence of dark solitons in the course of measurements of particle positions
- Quantum states of dark solitons in the 1D Bose gas
- Motion of a distinguishable impurity in the Bose gas: Arrested expansion without a lattice and impurity snaking
- Entanglement prethermalization: Locally thermal but non-locally non-thermal states in a one-dimensional Bose gas
- Generalized Gibbs ensemble in a nonintegrable system with an extensive number of local symmetries
- Many-body processes in black and grey matter-wave solitons
- A coordinate Bethe ansatz approach to the calculation of equilibrium and nonequilibrium correlations of the one-dimensional Bose gas
- Single-shot simulations of dynamics of quantum dark solitons
- Split Fermi seas in one-dimensional Bose fluids
- Correspondence between dark solitons and the type II excitations of Lieb-Liniger model
- Equilibration in one-dimensional quantum hydrodynamic systems
- Exactly-solvable system of one-dimensional trapped bosons with short and long-range interactions
- Quasi-soliton scattering in quantum spin chains
- Exactness of the mean-field dynamics in optical cavity systems
- The fate of a gray soliton in a quenched Bose-Einstein condensate
- Dark-soliton-like excitations in the Yang-Gaudin gas of attractively interacting fermions
- Quantum dark solitons in the one-dimensional Bose gas
- Quantum dark solitons in ultracold one-dimensional Bose and Fermi gases
- Recurrence time in the quantum dynamics of the 1D Bose gas
- General relaxation time of the fidelity for isolated quantum thermodynamic systems
- Quantum dark solitons in Bose gas confined in a hard wall box
- Exact ground states of quantum many-body systems under confinement
- Critical phenomena in one dimension from a Bethe ansatz perspective
- Classical ergodicity and quantum eigenstate thermalization: Analysis in fully connected Ising ferromagnets
- Environment induced pre-thermalization in the Mott-Hubbard model
- Thermal solitons as revealed by static structure factor
- Entanglement prethermalization in the Tomonaga-Luttinger model
- Dark solitons revealed in Lieb-Liniger eigenstates
- Rotating Bose-Einstein condensates with a finite number of atoms confined in a ring potential: Spontaneous symmetry breaking, beyond the mean-field approximation
- Nonlinear Schrodinger Equation Solitons on Quantum Droplets
- Polaron-Depleton Transition in the Yrast Excitations of a One-Dimensional Bose Gas with a Mobile Impurity
- Signatures of the BCS-BEC crossover in the yrast spectra of Fermi quantum rings
- Beyond Gross-Pitaevskii equation for 1D gas: quasiparticles and solitons
- Emergence of dark soliton signatures in a one-dimensional unpolarized attractive Fermi gas on a ring
- The approach to equilibrium in a macroscopic quantum system for a typical nonequilibrium subspace
- Recurrence times of the Lieb-Liniger model in the weak and strong coupling regimes
- Trial wave functions for ring-trapped ions and neutral atoms: Microscopic description of the quantum space-time crystal
- Finite-size effects in the dynamics of few bosons in a ring potential
- Decay of phase-imprinted dark soliton in Bose-Einstein condensate at non-zero temperature
- Measurement of one-dimensional matter-wave quantum breather
- Exact quantum dynamics of yrast states in the finite 1D Bose gas
- Semiclassical dynamics of a dark soliton in a one-dimensional bosonic superfluid in an optical lattice
- Tsunami Solitons Emerging from Superconducting Gap
- Dark solitons in a trapped gas of long-range interacting bosons
- Many-body dark solitons in one-dimensional hard-core Bose gases
- Drag-induced dynamical formation of dark solitons in Bose mixture on a ring
- Dynamics of quantum double dark-solitons and an exact finite-size scaling of Bose-Einstein condensation
- Vortices in the Many-Body Excited States of Interacting Bosons in Two Dimension
- Breakdown of the mean field for dark solitons of dipolar bosons in a one-dimensional harmonic trap