Quantum Impurity in a One-dimensional Trapped Bose Gas

Abstract

We present a new theoretical framework for describing an impurity in a trapped Bose system in one spatial dimension. The theory handles any external confinement, arbitrary mass ratios, and a weak interaction may be included between the Bose particles. To demonstrate our technique, we calculate the ground state energy and properties of a sample system with eight bosons and find an excellent agreement with numerically exact results. Our theory can thus provide definite predictions for experiments in cold atomic gases.

9 pages, 5 figures, published version. Supplemental material included as appendix

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Cited by in corpus (53)

• Universal many-body response of heavy impurities coupled to a Fermi sea
• One-dimensional mixtures of several ultracold atoms: a review
• Bose polarons in ultracold atoms in one dimension: beyond the Fröhlich paradigm
• Analytical approach to the Bose polaron problem in one dimension
• Coalescence of Two Impurities in a Trapped One-dimensional Bose Gas
• Few-body Bose gases in low dimensions -- a laboratory for quantum dynamics
• Effective approach to impurity dynamics in one-dimensional trapped Bose gases
• Quantum magnetism in strongly interacting one-dimensional spinor Bose systems
• Many-body quantum dynamics and induced correlations of Bose polarons
• Two-flavor mixture of a few fermions of different mass in a one-dimensional harmonic trap
• Induced correlations between impurities in a one-dimensional quenched Bose gas
• Dissipative correlated dynamics of a moving impurity immersed in a Bose-Einstein Condensate
• Strongly interacting trapped one-dimensional quantum gases: an exact solution
• Impenetrable Mass-Imbalanced Particles in One-Dimensional Harmonic Traps
• Induced pairing of fermionic impurities in a one-dimensional strongly correlated Bose gas
• Mean-field construction for spectrum of one-dimensional Bose polaron
• Analytical study of static beyond-Frohlich Bose polarons in one dimension
• Impurity states in the one-dimensional Bose gas
• Doping a lattice-trapped bosonic species with impurities: From ground state properties to correlated tunneling dynamics
• Integrable families of hard-core particles with unequal masses in a one-dimensional harmonic trap
• Four fermions in a one-dimensional harmonic trap: Accuracy of a variational-ansatz approach
• Entanglement-assisted tunneling dynamics of impurities in a double well immersed in a bath of lattice trapped bosons
• Polaron in dilute 2D Bose gas at low temperatures
• Comparing numerical and analytical approaches to strongly interacting two-component mixtures in one dimensional traps
• Probing the out-of-equilibrium dynamics of two interacting atoms
• Bose polaron in spherical trap potentials: Spatial structure and quantum depletion
• Role of thermal two-phonon scattering for impurity dynamics in a low-dimensional BEC
• Entanglement of an Impurity in a Few-Body One-Dimensional Ideal Bose System
• Mobile impurities interacting with a few one-dimensional lattice bosons
• State engineering of impurities in a lattice by coupling to a Bose gas
• BEC polaron in harmonic trap potential at weak coupling regime: Lee-Low-Pines type approach
• Correlation induced localization of lattice trapped bosons coupled to a Bose-Einstein condensate
• Correlation properties of a three-body bosonic mixture in a harmonic trap
• Interaction induced single impurity tunneling in a binary mixture of trapped ultracold bosons
• Exact results for polaron and molecule in one-dimensional spin-1/2 Fermi gas
• Interspecies entanglement with impurity atoms in a lattice gas
• Microscopic theory of ionic motion in solids
• Few-Boson Processes in the Presence of an Attractive Impurity under One-Dimensional Confinement
• Mass-imbalance induced structures of binary atomic mixtures in box potentials
• Dynamical realization of magnetic states in a strongly interacting Bose mixture
• Mean-field properties of impurity in Bose gas with three-body forces
• Computation of local exchange coefficients in strongly interacting one-dimensional few-body systems: local density approximation and exact results
• Dissipative dynamics of an impurity with spin-orbit coupling
• Impurities in a trapped 1D Bose gas of arbitrary interaction strength: localization-delocalization transition and absence of self-localization
• State transfer in an inhomogeneous spin chain
• Bose polaron in spherically symmetric trap potentials: Ground states with zero and lower angular momenta
• Emergence of junction dynamics in a strongly interacting Bose mixture
• Intra- and interband excitations induced residue decay of the Bose polaron in a one-dimensional double-well
• Self-stabilized Bose polarons
• Few particles with an impurity in a one-dimensional harmonic trap
• One-Dimensional Quantum Systems - From Few to Many Particles
• Counterflow of lattice polarons in harmonically confined optical lattices
• Permanent variational wave functions for bosons