Ground-state reference systems for expanding correlated fermions in one dimension

Abstract

We study the sudden expansion of strongly correlated fermions in a one-dimensional lattice, utilizing the time-dependent density-matrix renormalization group method. Our focus is on the behavior of experimental observables such as the density, the momentum distribution function, and the density and spin structure factors. As our main result, we show that correlations in the transient regime can be accurately described by equilibrium reference systems. In addition, we find that the expansion from a Mott insulator produces distinctive peaks in the momentum distribution function at |k| ~ pi/2, accompanied by the onset of power-law correlations.

8 pages Revtex4, 7 eps-figures, minor changes, additional references, as published

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Cited by in corpus (52)

• Expansion dynamics of interacting bosons in homogeneous lattices in one and two dimensions
• Equilibration of a Tonks-Girardeau gas following a trap release
• Quenches in quantum many-body systems: One-dimensional Bose-Hubbard model reexamined
• A real-time study of diffusive and ballistic transport in spin-1/2 chains using the adaptive time-dependent density matrix renormalization group method
• Quench dynamics of a Tonks-Girardeau gas released from a harmonic trap
• Finite size effects in global quantum quenches: examples from free bosons in an harmonic trap and the one-dimensional Bose-Hubbard model
• Scaling approach to quantum non-equilibrium dynamics of many-body systems
• Dynamical Quasicondensation of Hard-Core Bosons at Finite Momenta
• Non-equilibrium electronic transport in a one-dimensional Mott insulator
• Quantum distillation: dynamical generation of low-entropy states of strongly correlated fermions in an optical lattice
• Entanglement spreading after a geometric quench in quantum spin chains
• Nonequilibrium dynamics in the one-dimensional Fermi-Hubbard model: A comparison of the nonequilibrium Green functions approach and the density matrix renormalization group method
• Sudden expansion of Mott insulators in one dimension
• Long-time behavior of the momentum distribution during the sudden expansion of a spin-imbalanced Fermi gas in one dimension
• Emergent eigenstate solution to quantum dynamics far from equilibrium
• Real-time energy dynamics in spin-1/2 Heisenberg chains
• Time evolution of 1D gapless models from a domain-wall initial state: SLE continued?
• Non-Equilibrium Mass Transport in the 1D Fermi-Hubbard Model
• Expansion dynamics in the one-dimensional Fermi-Hubbard model
• Geometric quench and nonequilibrium dynamics of fractional quantum Hall states
• Geometric quenches in quantum integrable systems
• Light scattering and dissipative dynamics of many fermionic atoms in an optical lattice
• Expansion of one-dimensional lattice hard-core bosons at finite temperature
• Expansion of Bose-Hubbard Mott insulators in optical lattices
• Expansion velocity of a one-dimensional, two-component Fermi gas during the sudden expansion in the ballistic regime
• Entanglement evolution across defects in critical anisotropic Heisenberg chains
• Quantum quench spectroscopy of a Luttinger liquid: Ultrarelativistic density wave dynamics due to fractionalization in an XXZ chain
• Momentum distribution of a freely expanding Lieb-Liniger gas
• Emergent eigenstate solution and emergent Gibbs ensemble for expansion dynamics in optical lattices
• Dynamical self-stabilization of the Mott insulator: Time evolution of the density and entanglement entropy of out-of-equilibrium cold fermion gases
• Quantum dynamics of impenetrable SU(N) fermions in one-dimensional lattices
• Ground states and dynamics of population-imbalanced Fermi condensates in one dimension
• Chiral Prethermalization in supersonically split condensates
• Creation and dynamics of remote spin-entangled pairs in the expansion of strongly correlated fermions in an optical lattice
• Interaction-induced anomalous transport behavior in one dimensional optical lattice
• Preparation of stable excited states in an optical lattice via sudden quantum quench
• Unveiling hidden structure of many-body wavefunctions of integrable systems via sudden expansion experiments
• Closed and Open System Dynamics in a Fermionic Chain with a Microscopically Specified Bath: Relaxation and Thermalization
• Strongly Interacting Atom Lasers in Three Dimensional Optical Lattices
• Equilibrium and nonequilibrium entanglement properties of 2D and 3D Fermi gases
• Self trapping in the two-dimensional Bose-Hubbard model
• Dynamical quantum phase transitions in the one-dimensional extended Fermi-Hubbard model
• Quantum adiabatic protocols using emergent local Hamiltonians
• Controllable Finite-Momenta Dynamical Quasicondensation in the Periodically Driven One-Dimensional Fermi-Hubbard Model
• Efficiency of fermionic quantum distillation
• Quantum heat waves in a one-dimensional condensate
• Short-time Spin Dynamics in Strongly Correlated Few-fermion Systems
• Effects of interaction and polarization on spin-charge separation: A time-dependent spin-density-functional theory study
• Mott insulator dynamics
• Expansion dynamics in a one-dimensional hard-core boson model with three-body interactions
• Moving perturbation in a one-dimensional Fermi gas
• Exact spectral function and nonequilibrium dynamics of the strongly interacting Hubbard model