BEC polaron in harmonic trap potential at weak coupling regime: Lee-Low-Pines type approach

Abstract

We have calculated the zero-temperature binding energy of a single impurity atom immersed in a Bose-Einstein condensate of ultracold atoms that are trapped in an axially symmetric harmonic potential, where the impurity interacts with bosonic atoms in the condensate via a low-energy s-wave scattering. In this case, bosons are excited around the impurity to form a quasiparticle, namely, a BEC polaron. We have developed a variational method, {\it a la} Lee-Low-Pines (LLP) theory for electron-phonon systems, for description of the polaron with a conserved angular momentum around the symmetric axis. It is found in numerical results that the binding energy between the impurity and the excited bosons break the degeneracy with respect to the total angular momentum of the polaron. The angular momentum is partially shared by the excited bosons, which is due to a mechanism similar to the drag effect on the polaron momentum by a phonon cloud in the LLP theory.

21 pages, 8 figures, version accepted for PRA, with figures refined

References in corpus (14)

• Observation of Fermi Polarons in a Tunable Fermi Liquid of Ultracold Atoms
• 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
• Quantum dynamics of ultracold Bose polarons
• Excitation spectra and rf-response near the polaron-to-molecule transition from the functional renormalization group
• Rotation of quantum impurities in the presence of a many-body environment
• Self-localized impurities embedded in a one dimensional Bose-Einstein condensate and their quantum fluctuations
• Diagrammatic Monte Carlo study of the acoustic and the BEC polaron
• Characterization of elastic scattering near a Feshbach resonance in rubidium 87
• Polarons in Ultracold Fermi Superfluids
• Observation of the phononic Lamb shift with a synthetic vacuum
• Transport of strong-coupling polarons in optical lattices
• Bipolarons and multi-polarons consisting of impurity atoms in a Bose-Einstein condensate

Cited by in corpus (11)

• Polaron Problems in Ultracold Atoms: Role of a Fermi Sea across Different Spatial Dimensions and Quantum Fluctuations of a Bose Medium
• Thermal crossover, transition, and coexistence in Fermi polaronic spectroscopies
• Multispecies time-dependent restricted-active-space self-consistent-field theory for ultracold atomic and molecular gases
• Simulating polaron biophysics with Rydberg atoms
• Bose polaron in spherical trap potentials: Spatial structure and quantum depletion
• Collisional dynamics of polaronic clouds immersed in a Fermi sea
• Attractive polaron formed in doped nonchiral/chiral parabolic system within ladder approximation
• Bose polaron in spherically symmetric trap potentials: Ground states with zero and lower angular momenta
• Disorder in order: Localization without randomness in a cold atom system
• General memory kernels and further corrections to the variational path integral approach for the Bogoliubov-Fröhlich Hamiltonian
• Counterflow of lattice polarons in harmonically confined optical lattices