Polarons in Binary Bose-Einstein Condensates
arXiv:2206.13738 · doi:10.1088/1742-5468/acf8be
Abstract
Bose polarons are quasiparticles formed through the interaction between impurities and Bose-Einstein condensates. In this paper, we derive an effective Fröhlich Hamiltonian using the generalized Bogoliubov transformation. The effective Fröhlich Hamiltonian encompasses two types of effective interactions: impurity-density (ID) coupling and impurity-spin (IS) coupling. Furthermore, we employ the Lee-Low-Pines variational approach to investigate the relevant properties of Bose polarons induced by the ID and IS coupling. These properties include the ground state energy, effective mass, and average number of virtual phonons. Our findings reveal that the contribution resulting from IS couplings to the ground energy decreases to zero near the miscible-immiscible boundary. Additionally, the increase of the IS coupling induces a greater number of virtual phonons, impeding the movement of impurities and leading to a significant increase in the effective mass of Bose polarons.
arXiv comment24 pages, 8 figures
References in corpus (27)
- Quantum Mechanical Stabilization of a Collapsing Bose-Bose Mixture
- Observation of Attractive and Repulsive Polarons in a Bose-Einstein Condensate
- Bose polarons in the strongly interacting regime
- Field-theoretical study of the Bose polaron
- Feynman path-integral treatment of the BEC-impurity polaron
- 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
- Analyzing a Bose polaron across resonant interactions
- Bose polarons at finite temperature and strong coupling
- Analytical approach to the Bose polaron problem in one dimension
- Real-space dynamics of attractive and repulsive polarons in Bose-Einstein condensates
- Observation of Massless and Massive Collective Excitations with Faraday Patterns in a Two-Component Superfluid
- Fate of the Bose polaron at finite temperature
- Feynman path-integral treatment of the Bose polaron beyond the Fröhlich model
- An impurity in a heteronuclear two-component Bose mixture
- Life and death of the Bose polaron
- Quantum dynamics of Bose-polaron in a -dimensional Bose Einstein condensate
- Renormalization group study of Bose polarons
- Thermodynamics of dilute Bose gases: Beyond mean-field theory for binary mixtures of Bose-Einstein condensate
- Polarons and their induced interactions in highly imbalanced triple mixtures
- Tunable Polarons in Bose-Einstein Condensates
- Diagrammatic calculation of energy spectrum of quantum impurity in degenerate Bose-Einstein condensate
- Ground-state energy and depletions for a dilute binary Bose gas
- Breaking of Goldstone modes in two component Bose-Einstein condensate
- Breathing modes of repulsive polarons in Bose-Bose mixtures
- Control of anomalous diffusion of a Bose polaron