Efimov physics from the functional renormalization group
arXiv:1102.0896 · doi:10.1007/s00601-011-0231-z
Abstract
Few-body physics related to the Efimov effect is discussed using the functional renormalization group method. After a short review of renormalization in its modern formulation we apply this formalism to the description of scattering and bound states in few-body systems of identical bosons and distinguishable fermions with two and three components. The Efimov effect leads to a limit cycle in the renormalization group flow. Recently measured three-body loss rates in an ultracold Fermi gas Li atoms are explained within this framework. We also discuss briefly the relation to the many-body physics of the BCS-BEC crossover for two-component fermions and the formation of a trion phase for the case of three species.
28 pages, 13 figures, invited contribution to a special issue of "Few-Body Systems" devoted to Efimov physics, published version
References in corpus (30)
- Many-Body Physics with Ultracold Gases
- Exact evolution equation for the effective potential
- Theory of ultracold Fermi gases
- Weakly bound dimers of fermionic atoms
- Collisional stability of a three-component degenerate Fermi gas
- Three-body recombination in a three-state Fermi gas with widely tunable interactions
- Color Superfluidity and "Baryon" Formation in Ultracold Fermions
- Evidence for Ground- and Excited-State Efimov Trimers in a Three-State Fermi Gas
- Radio Frequency Association of Efimov Trimers
- Renormalization Group Approach towards the QCD Phase Diagram
- Exact flow equation for composite operators
- Atom-Dimer Scattering in a Three-Component Fermi Gas
- A Universal Trimer in a Three-Component Fermi Gas
- Flow Equations for the BCS-BEC Crossover
- Trionic phase of ultracold fermions in an optical lattice: A variational study
- Particle-hole fluctuations in the BCS-BEC Crossover
- Functional renormalization group approach to the BCS-BEC crossover
- Renormalisation Flow and Universality for Ultracold Fermionic Atoms
- Efimov effect from functional renormalization
- Functional renormalization for trion formation in ultracold fermion gases
- Three-body scattering from nonperturbative flow equations
- Renormalization group study of the four-body problem
- The Efimov effect in lithium 6
- Modified Fermi-sphere, pairing gap and critical temperature for the BCS-BEC crossover
- Renormalization of the BCS-BEC crossover by order parameter fluctuations
- Three-body loss in lithium from functional renormalization
- Functional renormalisation group for two-body scattering
- Renormalization group, dimer-dimer scattering, and three-body forces
- Exact flow equation for bound states
- Efimov Physics in Atom-Dimer Scattering of Lithium-6 Atoms
Cited by in corpus (9)
- The nonperturbative functional renormalization group and its applications
- Theory of excitation of Rydberg polarons in an atomic quantum gas
- Ultracold atoms and the Functional Renormalization Group
- Phase structure of spin-imbalanced unitary Fermi gases
- Efimov states near a Feshbach resonance and the limits of van der Waals universality at finite background scattering length
- Renormalization group study of Bose polarons
- Universality in Four-Boson Systems
- Few-body hierarchy in non-relativistic functional renormalization group equations and a decoupling theorem
- Functional renormalisation group approach to the finite-temperature Bose polaron