Dynamics of an impurity in a one-dimensional lattice

Abstract

We study the non-equilibrium dynamics of an impurity in an harmonic trap that is kicked with a well-defined quasi-momentum, and interacts with a bath of free fermions or interacting bosons in a 1D lattice configuration. Using numerical and analytical techniques we investigate the full dynamics beyond linear response, which allows us to quantitatively characterise states of the impurity in the bath for different parameter regimes. These vary from a tightly bound molecular state in a strongly interacting limit to a polaron (dressed impurity) and a free particle for weak interactions, with composite behaviour in the intermediate regime. These dynamics and different parameter regimes should be readily realizable in systems of cold atoms in optical lattices.

19 pages, 15 figures

References in corpus (14)

• Many-Body Physics with Ultracold Gases
• Real time evolution using the density matrix renormalization group
• Single-Atom Resolved Fluorescence Imaging of an Atomic Mott Insulator
• Observation of Fermi Polarons in a Tunable Fermi Liquid of Ultracold Atoms
• Repulsively bound atom pairs in an optical lattice
• Attractive and repulsive Fermi polarons in two dimensions
• Quantum transport through a Tonks-Girardeau gas
• Two-particle states in the Hubbard model
• Spin dynamics in a one-dimensional ferromagnetic Bose gas
• Exact exponents of edge singularities in dynamic correlation functions of 1D Bose gas
• Polaron-molecule transitions in a two-dimensional Fermi gas
• Polarons and Molecules in a Two-Dimensional Fermi Gas
• Probing the FFLO phase by double occupancy modulation spectroscopy
• From non equilibrium quantum Brownian motion to impurity dynamics in 1D quantum liquids

Cited by in corpus (32)

• Polarons, Dressed Molecules, and Itinerant Ferromagnetism in ultracold Fermi gases
• Universal many-body response of heavy impurities coupled to a Fermi sea
• Quantum Flutter: Signatures and Robustness
• The impact of the injection protocol on an impurity's stationary state
• Motion of a distinguishable impurity in the Bose gas: Arrested expansion without a lattice and impurity snaking
• Induced pairing of fermionic impurities in a one-dimensional strongly correlated Bose gas
• Doping a lattice-trapped bosonic species with impurities: From ground state properties to correlated tunneling dynamics
• Polarons and bipolarons in a two-dimensional square lattice
• Emergence of a sharp quantum collective mode in a one-dimensional Fermi polaron
• One-dimensional Fermi polaron in a combined harmonic and periodic potential
• Dynamics of a Mobile Impurity in a Two Leg Bosonic Ladder
• Mobile impurities interacting with a few one-dimensional lattice bosons
• Variational study of polarons and bipolarons in a 1D Bose lattice gas in both superfluid and Mott regimes
• Slow dynamics of a mobile impurity interacting with an Anderson insulator
• Interspecies entanglement with impurity atoms in a lattice gas
• Chiral polaron formation on the edge of topological quantum matter
• Nonlinear quantum Langevin equations for bosonic modes in solid-state systems
• Mobile impurity in a one-dimensional gas at finite temperatures
• Transconducting transition for a dynamic boundary coupled to several Luttinger liquids
• Mobile Spin Impurity in an Optical Lattice
• Phase transitions for a collective coordinate coupled to Luttinger liquids
• Kubo-Martin-Schwinger relation for an interacting mobile impurity
• Excitations and impurity dynamics in a fermionic Mott insulator with nearest-neighbor interactions
• Decoherence of an impurity in a one-dimensional fermionic bath with mass imbalance
• Mechanical resonances of mobile impurities in a one-dimensional quantum fluid
• Nonergodic dynamics for an impurity interacting with bosons in tilted lattice
• Dynamical symmetry and pair tunneling in a one-dimensional Bose gas colliding with a mobile impurity
• Moving perturbation in a one-dimensional Fermi gas
• One-dimensional Fermi polaron after a kick: two-sided singularity of the momentum distribution, Bragg reflection and other exact results
• Few particles with an impurity in a one-dimensional harmonic trap
• Counterflow of lattice polarons in harmonically confined optical lattices
• Impurity and soliton dynamics in a Fermi gas with nearest-neighbor interactions