Medium-induced Interaction Between Impurities in a Bose-Einstein Condensate
arXiv:2303.01916 · doi:10.1103/PhysRevA.107.063301
Abstract
We consider two heavy particles immersed in a Bose-Einstein condensate in three dimensions and compute their mutual interaction induced by excitations of the medium. For an ideal Bose gas, the induced interaction is Newtonian up to a shift in distance which depends on the coupling strength between impurities and Bosons. For a real BEC, we find that on short distances, the induced potential is dominated by three-body physics of a single Boson bound to the impurities, leading to an Efimov potential. At large distances of the order of the healing length, a Yukawa potential emerges instead. In particular, we find that both regimes are realized for all impurity-boson couplings and determine the corresponding crossover scales. The transition from the real to the ideal condensate at low gas parameters is investigated.
arXiv comment7 pages, 5 figures
References in corpus (34)
- 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
- Bose polarons near quantum criticality
- Bipolarons in a Bose-Einstein Condensate
- Non-equilibrium quantum dynamics and formation of the Bose polaron
- Fermion-Mediated Interactions Between Bosonic Atoms
- Coalescence of Two Impurities in a Trapped One-dimensional Bose Gas
- Landau Effective Interaction between Quasiparticles in a Bose-Einstein Condensate
- Visualizing Efimov Correlations in the Bose Polaron
- Two impurities in a Bose-Einstein condensate: from Yukawa to Efimov attracted polarons
- Real-space dynamics of attractive and repulsive polarons in Bose-Einstein condensates
- Polaronic mass renormalization of impurities in BEC: correlated Gaussian wavefunction approach
- Phonon-mediated Casimir interaction between mobile impurities in one-dimensional quantum liquids
- Observation of spin-spin fermion-mediated interactions between ultracold bosons
- Polaron Interactions and Bipolarons in One-Dimensional Bose Gases in the Strong Coupling Regime
- Universal aspects of a strongly interacting impurity in a dilute Bose condensate
- Finite-temperature behavior of the Bose polaron
- Theory of a resonantly interacting impurity in a Bose-Einstein condensate
- Quantum behavior of a heavy impurity strongly coupled to a Bose gas
- Induced correlations between impurities in a one-dimensional quenched Bose gas
- Dynamical variational approach to Bose polarons at finite temperatures
- Casimir interaction among heavy fermions in the BCS-BEC crossover
- Mediated interaction between polarons in a one-dimensional Bose gas
- Many-body bound states and induced interactions of charged impurities in a bosonic bath
- Efimov States of Heavy Impurities in a Bose-Einstein Condensate
- Quench Dynamics of the Ideal Bose Polaron at Zero and Nonzero Temperatures
- Scattering of two heavy Fermi polarons: resonances and quasibound states
- Mediated interactions between ions in quantum degenerate gases
- Two distinguishable impurities in BEC: squeezing and entanglement of two Bose polarons
- Universal van der Waals Force Between Heavy Polarons in Superfluids
- The effect of boson-boson interaction on the Bipolaron formation
- Disorder in order: Localization without randomness in a cold atom system
- Fermions meet two bosons -- the heteronuclear Efimov effect revisited
Cited by in corpus (8)
- Interactions mediated by atoms, photons, electrons, and excitons
- Thermometry by correlated dephasing of impurities in a 1D Fermi gas
- Engineering impurity Bell states through coupling with a quantum bath
- Medium-enhanced polaron repulsion in a dilute Bose mixture
- Polaronic dressing of bound states
- Effective two- and three-body interactions between dressed impurities in a tilted double-well potential
- On Bose-Einstein condensation in interacting Bose gases in the Kac-Luttinger model
- Complex-valued in-medium potential between heavy impurities in ultracold atoms