Polaron Interactions and Bipolarons in One-Dimensional Bose Gases in the Strong Coupling Regime
arXiv:2101.11997 · doi:10.1103/PhysRevLett.127.103401
Abstract
Bose polarons, quasi-particles composed of mobile impurities surrounded by cold Bose gas, can experience strong interactions mediated by the many-body environment and form bipolaron bound states. Here we present a detailed study of heavy polarons in a one-dimensional Bose gas by formulating a non-perturbative theory and complementing it with exact numerical simulations. We develop an analytic approach for weak boson-boson interactions and arbitrarily strong impurity-boson couplings. Our approach is based on a mean-field theory that accounts for deformations of the superfluid by the impurities and in this way minimizes quantum fluctuations. The mean-field equations are solved exactly in Born-Oppenheimer (BO) approximation leading to an analytic expression for the interaction potential of heavy polarons which is found to be in excellent agreement with quantum Monte-Carlo (QMC) results. In the strong-coupling limit the potential substantially deviates from the exponential form valid for weak coupling and has a linear shape at short distances. Taking into account the leading-order Born-Huang corrections we calculate bipolaron binding energies for impurity-boson mass ratios as low as 3 and find excellent agreement with QMC results.
References in corpus (38)
- Atomic Scattering in Presence of an External Confinement and a Gas of Impenetrable Bosons
- Observation of Fermi Polarons in a Tunable Fermi Liquid of Ultracold Atoms
- Metastability and Coherence of Repulsive Polarons in a Strongly Interacting Fermi Mixture
- Observation of Attractive and Repulsive Polarons in a Bose-Einstein Condensate
- Attractive and repulsive Fermi polarons in two dimensions
- Bose polarons in the strongly interacting regime
- Ultrafast many-body interferometry of impurities coupled to a Fermi sea
- Quantum dynamics of impurities in a 1D Bose gas
- Repulsive Fermi polarons in a resonant mixture of ultracold Li atoms
- Bose polarons near quantum criticality
- Quantum dynamics of ultracold Bose polarons
- Bipolarons in a Bose-Einstein Condensate
- Polarons in the radio-frequency spectrum of a quasi-two-dimensional Fermi gas
- Decoherence of Impurities in a Fermi Sea of Ultracold Atoms
- Bose polarons in ultracold atoms in one dimension: beyond the Fröhlich paradigm
- Casimir forces between defects in one-dimensional quantum liquids
- Analytical approach to the Bose polaron problem in one dimension
- Coalescence of Two Impurities in a Trapped One-dimensional Bose Gas
- Two impurities in a Bose-Einstein condensate: from Yukawa to Efimov attracted polarons
- Effective approach to impurity dynamics in one-dimensional trapped Bose gases
- Interaction of Impurity Atoms in Bose-Einstein-Condensates
- Phonon-mediated Casimir interaction between mobile impurities in one-dimensional quantum liquids
- Trapped one-dimensional ideal Fermi gas with a single impurity
- Ionic polaron in a Bose-Einstein condensate
- Neutral Impurities in a Bose-Einstein Condensate for Simulation of the Fröhlich-Polaron
- Strong coupling Bose polarons in a two-dimensional gas
- Ground-state energy and excitation spectrum of the Lieb-Liniger model : accurate analytical results and conjectures about the exact solution
- Oscillating Casimir force between impurities in one-dimensional Fermi liquids
- Strong-coupling Bose polarons in 1D: Condensate deformation and modified Bogoliubov phonons
- The Casimir-like effect in a one-dimensional Bose gas
- Thermodynamic behavior of a one-dimensional Bose gas at low temperature
- Field-theoretical approach to the Casimir-like interaction in a one-dimensional Bose gas
- Impurities in a one-dimensional Bose gas: the flow equation approach
- Coherent Oscillations in Small Fermi Polaron Systems
- In-medium bound states of two bosonic impurities in a one-dimensional Fermi gas
- Fluctuation-induced potential for an impurity in a semi-infinite one-dimensional Bose gas
- Impurities in systems of noninteracting trapped fermions
- Density profile of a semi-infinite one-dimensional Bose gas and bound states of the impurity
Cited by in corpus (33)
- Few-body Bose gases in low dimensions -- a laboratory for quantum dynamics
- Mediated interaction between polarons in a one-dimensional Bose gas
- Universal van der Waals Force Between Heavy Polarons in Superfluids
- Interactions mediated by atoms, photons, electrons, and excitons
- Pattern formation in one-dimensional polaron systems and temporal orthogonality catastrophe
- Inducing spin-order with an impurity: phase diagram of the magnetic Bose polaron
- The effect of boson-boson interaction on the Bipolaron formation
- Counterflow dynamics of two correlated impurities immersed in a bosonic gas
- Self-Pinning Transition of a Tonks-Girardeau Gas in a Bose-Einstein Condensate
- Intersections of ultracold atomic polarons and nuclear clusters: How is a chart of nuclides modified in dilute neutron matter?
- Medium-induced Interaction Between Impurities in a Bose-Einstein Condensate
- Mobile impurities interacting with a few one-dimensional lattice bosons
- Crossover from attractive to repulsive induced interactions and bound states of two distinguishable Bose polarons
- Collective excitations of a Bose-Einstein condensate of hard-core bosons and their mediated interactions: from two-body bound states to mediated superfluidity
- Polaron-Depleton Transition in the Yrast Excitations of a One-Dimensional Bose Gas with a Mobile Impurity
- Bound impurities in a one-dimensional Bose lattice gas: low-energy properties and quench-induced dynamics
- Engineering impurity Bell states through coupling with a quantum bath
- Dynamics of polaron formation in 1D Bose gases in the strong-coupling regime
- Phases and dynamics of few fermionic impurities immersed in two-dimensional boson droplets
- Modified mean field ansatz for charged polarons in a Bose-Einstein condensate
- Stochastic-field approach to the quench dynamics of the one-dimensional Bose polaron
- Exact results for heavy unitary Bose polarons
- Impurities in a trapped 1D Bose gas of arbitrary interaction strength: localization-delocalization transition and absence of self-localization
- Polaritons for testing the universality of an impurity in a Bose-Einstein condensate
- Intra- and interband excitations induced residue decay of the Bose polaron in a one-dimensional double-well
- Effective approaches to the dynamical properties of two distinguishable Bose polarons
- Few particles with an impurity in a one-dimensional harmonic trap
- Dynamical formation of two-fold fragmented many-body state induced by an impurity in a double-well
- Anisotropic potential immersed in a dipolar Bose-Einstein condensate
- Polaronic dressing of bound states
- Effective two- and three-body interactions between dressed impurities in a tilted double-well potential
- Magnetic monopole induced polarons in atomic superlattices
- Competition of light- and phonon-dressing in microwave-dressed Bose polarons