The effect of boson-boson interaction on the Bipolaron formation

Abstract

Impurities immersed into a surrounding ultra-cold Bose gas experience interactions mediated by the surrounding many-body environment. If one focuses on two impurities that are sufficiently close to each other, they can form a bipolaron pair. Here, we discuss how the standard methods based on linearizing the condensate field lead to results only valid in the weak coupling regime and for sufficiently large impurity separations. We show how those shortcomings can be remedied within the Born-Oppenheimer approximation by accounting for boson-boson interactions already on the mean-field level.

References in corpus (43)

• Feshbach Resonances in Ultracold Gases
• Artificial Neural Networks for Solving Ordinary and Partial Differential Equations
• 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 ${}^6$Li atoms
• Field-theoretical study of the Bose polaron
• Feynman path-integral treatment of the BEC-impurity polaron
• Effective Extensible Programming: Unleashing Julia on GPUs
• Bose polarons near quantum criticality
• Impurity in a Bose-Einstein condensate: study of the attractive and repulsive branch using quantum Monte-Carlo methods
• 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
• Variational study of polarons in Bose-Einstein condensates
• Boiling a Unitary Fermi Liquid
• Non-equilibrium quantum dynamics and formation of the Bose polaron
• Decoherence of Impurities in a Fermi Sea of Ultracold Atoms
• Bose polarons in ultracold atoms in one dimension: beyond the Fröhlich paradigm
• Quench Dynamics and Orthogonality Catastrophe of Bose Polarons
• Renormalization group approach to the Fröhlich polaron model: application to impurity-BEC problem
• Coalescence of Two Impurities in a Trapped One-dimensional Bose Gas
• Two impurities in a Bose-Einstein condensate: from Yukawa to Efimov attracted polarons
• Approximate analytical solution of the Yukawa potential with arbitrary angular momenta
• Observation of a smooth polaron-molecule transition in a degenerate Fermi gas
• Effective approach to impurity dynamics in one-dimensional trapped Bose gases
• Real-space dynamics of attractive and repulsive polarons in Bose-Einstein condensates
• Mobile impurity in a Bose-Einstein condensate and the orthogonality catastrophe
• Polaron Interactions and Bipolarons in One-Dimensional Bose Gases in the Strong Coupling Regime
• Theory of a resonantly interacting impurity in a Bose-Einstein condensate
• Quantum behavior of a heavy impurity strongly coupled to a Bose gas
• Strong-coupling Bose polarons in 1D: Condensate deformation and modified Bogoliubov phonons
• Many-body interferometry of magnetic polaron dynamics
• Dynamical variational approach to Bose polarons at finite temperatures
• Feynman path-integral treatment of the Bose polaron beyond the Fröhlich model
• The $s$-wave scattering length of a Gaussian potential
• Impurities in a one-dimensional Bose gas: the flow equation approach
• Pattern formation in one-dimensional polaron systems and temporal orthogonality catastrophe
• Role of thermal two-phonon scattering for impurity dynamics in a low-dimensional BEC

Cited by in corpus (10)

• Interactions mediated by atoms, photons, electrons, and excitons
• Medium-induced Interaction Between Impurities in a Bose-Einstein Condensate
• Crossover from attractive to repulsive induced interactions and bound states of two distinguishable Bose polarons
• Mobile impurities interacting with a few one-dimensional lattice bosons
• Collective excitations of a Bose-Einstein condensate of hard-core bosons and their mediated interactions: from two-body bound states to mediated superfluidity
• 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
• Modified mean field ansatz for charged polarons in a Bose-Einstein condensate
• Effective approaches to the dynamical properties of two distinguishable Bose polarons
• Effective two- and three-body interactions between dressed impurities in a tilted double-well potential