Efimov states of heavy impurities in a Bose-Einstein condensate

2012/12/31 by N. T. Zinner · 31 citations
Physics and Astronomy · #Atomic physics #Bose gas #Bose–Einstein condensate #Boson #Coherence (philosophical gambling strategy) #Cold Atom Physics and Bose-Einstein Condensates #Degenerate energy levels #Fermion #Impurity #Physics #Quantum electrodynamics #Quantum mechanics #Quantum, superfluid, helium dynamics #Scaling #Strong Light-Matter Interactions #cond-mat.quant-gas #nucl-th #quant-ph

paper · pdf · doi:10.1209/0295-5075/101/60009

published in Europhysics Letters (EPL) 101(6), 60009 (Institute of Physics) · 6 pages, 3 figures, final version

openalex publication_date 2013/03/01 · arxiv created 2013/04/03 · arxiv updated 2013/04/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We consider the problem of two heavy impurity particles embedded in a gas of weakly interacting light mass bosonic particles in the condensed state. Using the Bogoliubov approach to describe the bosonic gas and the Born-Oppenheimer approximation for the three-body dynamics, we calculate the modification to the heavy-heavy two-body potential due to the presence of the condensate. For the case of resonant interaction between the light bosons and the impurities, we present (semi)-analytical results for the potential in the limit of a large condensate coherence length. In particular, we find a formula for the modification of the Efimov scaling factor due to the presence of a degenerate bosonic gas background.

Citations

• Universal scaling of Efimov resonance positions in cold atom systems
• Many-polaron description of impurities in a Bose-Einstein condensate in the weak-coupling regime
• Feshbach resonances in ultracold gases
• Kondo Effect in Bosonic Spin Liquids
• Quantum phase transitions in the Bose-Fermi Kondo model
• Interaction-induced localization of an impurity in a trapped Bose-Einstein condensate
• Quantum impurity dynamics in two-dimensional antiferromagnets and superconductors
• Topological Insulators
• The electronic properties of graphene
• Sympathetic Cooling with Two Atomic Species in an Optical Trap

Cited by

• Ultracold mixtures of metastable He and Rb: Scattering lengths fromab initiocalculations and thermalization measurements
• Fermions Meet Two Bosons—the Heteronuclear Efimov Effect Revisited

Related

• Impurity Dynamics in a Bose Condensate
• The excitation spectrum of a Bose gas with an impurity in the Gross-Pitaevskii regime
• Two-heavy impurities immersed in squeezed light-boson systems
• Few-boson system with a single impurity: Universal bound states tied to Efimov trimers
• Impurity in a Bose-Einstein condensate: study of the attractive and repulsive branch using quantum Monte-Carlo methods