Exact coherent states of a harmonically confined Tonks-Girardeau gas
arXiv:cond-mat/0504024 · doi:10.1103/PhysRevLett.94.240404
Abstract
Using a scaling transformation we exactly determine the dynamics of an harmonically confined Tonks-Girardeau gas under arbitrary time variations of the trap frequency. We show how during a one-dimensional expansion a ``dynamical fermionization'' occurs as the momentum distribution rapidly approaches an ideal Fermi gas distribution, and that under a sudden change of the trap frequency the gas undergoes undamped breathing oscillations displaying alternating bosonic and fermionic character in momentum space. The absence of damping in the oscillations is a peculiarity of the truly Tonks regime.
4 pages, 2 figures, published version
References in corpus (3)
Cited by in corpus (97)
- Breakdown of the adiabatic limit in low dimensional gapless systems
- Supplementary Information to the paper ``Breakdown of the adiabatic limit in low dimensional gapless systems''
- Crystallization of strongly interacting photons in a nonlinear optical fiber
- Generalized hydrodynamics in strongly interacting 1D Bose gases
- Fast optimal transition between two equilibrium states
- Few-boson dynamics in double wells: From single-atom to correlated-pair tunneling
- Generalized Hydrodynamics in the 1D Bose gas: theory and experiments
- Fermionization and bosonization of expanding 1D anyonic fluids
- Correlations in an expanding gas of hard-core bosons
- Functional renormalisation group approach to far-from-equilibrium quantum field dynamics
- Few-body Bose gases in low dimensions -- a laboratory for quantum dynamics
- Quantum distillation: dynamical generation of low-entropy states of strongly correlated fermions in an optical lattice
- Momentum distribution dynamics of a Tonks-Girardeau gas: Bragg reflections of a quantum many-body wavepacket
- Fermi-Bose transformation for the time-dependent Lieb-Liniger gas
- Tunneling dynamics of few bosons in a double well
- Conformal field theory on top of a breathing one-dimensional gas of hard core bosons
- Long-time behavior of the momentum distribution during the sudden expansion of a spin-imbalanced Fermi gas in one dimension
- Free expansion of impenetrable bosons on one-dimensional optical lattices
- Sudden Expansion of a One-Dimensional Bose Gas from Power-Law Traps
- Time evolution of 1D gapless models from a domain-wall initial state: SLE continued?
- Probing Quantum Speed Limits with Ultracold Gases
- Free expansion of a Lieb-Liniger gas: Asymptotic form of the wave functions
- Ground-state reference systems for expanding correlated fermions in one dimension
- Interaction quench in a trapped one-dimensional Bose gas
- Solitons in Tonks-Girardeau gas with dipolar interactions
- Strongly interacting trapped one-dimensional quantum gases: an exact solution
- Bound states and expansion dynamics of interacting bosons on a one-dimensional lattice
- Ground State Properties of a Tonks-Girardeau Gas in a Split Trap
- Entanglement evolution across defects in critical anisotropic Heisenberg chains
- Momentum distribution of a freely expanding Lieb-Liniger gas
- One-particle density matrix of a trapped Lieb-Liniger anyonic gas
- Hydrodynamic description of Hard-core Bosons on a Galileo ramp
- Two bosonic quantum walkers in one-dimensional optical lattices
- Ultracold gases far from equilibrium
- Exact Delta Kick Cooling, Time-Optimal Control of Scale-Invariant Dynamics, and Shortcuts to Adiabaticity Assisted by Kicks
- Collective mode damping and viscosity in a 1D unitary Fermi gas
- Pairing of a harmonically trapped fermionic Tonks-Girardeau gas
- Modulated trapping of interacting bosons in one dimension
- Dynamical Fermionization in One Dimensional Spinor Gases
- Dark stationary matter-waves via parity-selective evaporation in a Tonks-Girardeau gas
- Exact spectral function of a Tonks-Girardeau gas in a lattice
- Equilibrium and nonequilibrium entanglement properties of 2D and 3D Fermi gases
- Non-equilibrium dynamics of the anyonic Tonks-Girardeau gas at finite temperature
- Particle-number scaling of the quantum work statistics and Loschmidt echo in Fermi gases with time-dependent traps
- Nonadiabatic energy fluctuations of scale-invariant quantum systems in a time-dependent trap
- Reduction of local velocity spreads by linear potentials
- Loss induced collective mode in one-dimensional Bose gases
- Symplectic tomography of ultracold gases in tight-waveguides
- Dynamical fermionization in a one-dimensional Bose-Fermi mixture
- Far-Away-From-Equilibrium Quantum Critical Conformal Dynamics: Reversibility, Thermalization, and Hydrodynamics
- Dynamics of strongly interacting Fermi gases with time-dependent interactions: Consequence of conformal symmetry
- Nonequilibrium quantum thermodynamics of determinantal many-body systems: Application to the Tonks-Girardeau and ideal Fermi gases
- One-dimensional Bose gas driven by a slow time-dependent harmonic trap
- Lieb-Liniger gas in a constant force potential
- Quantum adiabatic cycles and their breakdown
- Single-particle versus many-body phase coherence in an interacting Fermi gas
- One-particle density matrix and momentum distribution of the out-of-equilibrium 1D Tonks-Girardeau gas: Analytical results at large
- Out of equilibrium many-body expansion dynamics of strongly interacting bosons
- Quench dynamics of noninteracting fermions with a delta impurity
- Energy and magnetic moment of a quantum charged particle in time dependent magnetic and electric fields of circular and plane solenoids
- Density ripples in expanding low-dimensional gases as a probe of correlations
- Efficiency of fermionic quantum distillation
- Tailoring Dynamical Fermionization: Delta kick cooling of a Tonks-Girardeau gas
- Exact spectral function of the Tonks-Girardeau gas at finite temperature
- Effective Scaling Approach to Frictionless Quantum Quenches in Trapped Bose Gases
- Quasimomentum distribution and expansion of an anyonic gas
- Exact coherent states of a noninteracting Fermi gas in a harmonic trap
- Phase space manipulations of many-body wavefunctions
- Dynamical fermionization in one-dimensional spinor gases at finite temperature
- Single- to many-body crossover of a quantum carpet
- The single-particle density matrix and the momentum distribution of dark "solitons" in a Tonks-Girardeau gas
- Connecting scrambling and work statistics for short-range interactions in the harmonic oscillator
- Nonequilibrium dynamics of noninteracting fermions in a trap
- Emergent Infrared Conformal Dynamics in Strongly Interacting Quantum Gases
- Generalized Bose-Fermi mapping and strong coupling ansatz wavefunction for one dimensional strongly interacting spinor quantum gases
- Emergent eigenstate solution for generalized thermalization
- Scaling dynamics of the ultracold Bose gas
- Wavelet representation of hardcore bosons
- Nonequilibrium dynamics in one-dimensional strongly interacting two-component gases
- How to measure the free energy and partition function from atom-atom correlations
- Quasicondensation and off-diagonal long-range order of hard-core bosons during a free expansion
- Analytical solution of a free-fermion chain with time-dependent ramps
- Taxonomy of integrable and ground-state solvable models: Jastrow wave functions on graphs and parent Hamiltonians
- Numerical methods and analytic results for one-dimensional strongly interacting spinor gases
- The Lieb excitations and topological flat mode of spectral function of Tonks-Girardeau gas in Kronig-Penney potential
- Shortcut to spin dynamics for quantum mixtures
- Echoes and defects in the Calogero model
- A map between time-dependent and time-independent quantum many-body Hamiltonians
- Breathing dynamics of the Bose polaron in a species-selective harmonic trap
- Universal properties and dynamical bosonization of strongly interacting one-dimensional anyons
- Entanglement Hamiltonian during a domain wall melting in the free Fermi chain
- Effects of intertube dipole-dipole interactions in nearly integrable one-dimensional Dy gases
- Entanglement dynamics of a hard-core quantum gas during a Joule expansion
- Quench Dynamics of Anyon Tonks-Girardeau Gases
- Expansion of one-dimensional spinor gases from power-law traps
- Entropy production and statistical relaxation of dipolar bosons and fermions in interaction quench dynamics
- Nonequilibrium many-body dynamics in supersymmetric quenching