Variational study of polarons in Bose-Einstein condensates

Abstract

We use a class of variational wave functions to study the properties of an impurity in a Bose-Einstein condensate, i.e. the "Bose polaron". The impurity interacts with the condensate through a contact interaction, which can be tuned by a Feshbach resonance. We find a stable attractive polaron branch that evolves continuously across the resonance to a tight-binding diatomic molecule deep in the positive scattering length side. A repulsive polaron branch with finite lifetime is also observed and it becomes unstable as the interaction strength increases. The effective mass of the attractive polaron also changes smoothly across the resonance connecting the two well-understood limits deep on both sides.

References in corpus (9)

• Many-Body Physics with Ultracold Gases
• Observation of Fermi Polarons in a Tunable Fermi Liquid of Ultracold Atoms
• Attractive and repulsive Fermi polarons in two dimensions
• Ultracold Fermionic Feshbach Molecules of ${}^{23}$Na${}^{40}$K
• Normal state of highly polarized Fermi gases: Full many-body treatment
• Excitation spectra and rf-response near the polaron-to-molecule transition from the functional renormalization group
• Self-trapping of impurities in Bose-Einstein condensates: Strong attractive and repulsive coupling
• Polaron-molecule transitions in a two-dimensional Fermi gas
• Self-localized impurities embedded in a one dimensional Bose-Einstein condensate and their quantum fluctuations

Cited by in corpus (13)

• The Bose polaron problem: effect of mass imbalance on binding energy
• Quantum Monte-Carlo study of the Bose polaron problem in a one-dimensional gas with contact interactions
• Polarons in Ultracold Fermi Superfluids
• Fate of the Bose polaron at finite temperature
• Generalized Hartree-Fock-Bogoliubov Description of the Frohlich Polaron
• Impurity states in the one-dimensional Bose gas
• Enhancing the Efimov correlation in Bose polarons with large mass imbalance
• Dynamical formation of polarons in a Bose-Einstein condensate: A variational approach
• Hartree-Fock treatment of Fermi polarons using the Lee-Low-Pine transformation
• Behavior of the impurity atom in a weakly-interacting Bose gas
• Mirror as polaron with internal degrees of freedom
• Bose polaron in spherically symmetric trap potentials: Ground states with zero and lower angular momenta
• Temperature-induced miscibility of impurities in trapped Bose gases