BCS-BEC crossover with a finite-range interaction

Abstract

We study the crossover from BEC to BCS pairing for dilute systems but with a realistic finite-range interaction. We exhibit the changes in the excitation spectrum that provide a clean qualitative distinction between the two limits. We also study how the dilute system converges to the results from a zero-range pseudo-potential derived by Leggett.

9 figures

References in corpus (16)

• Condensation of Pairs of Fermionic Atoms Near a Feshbach Resonance
• Experimental Study of the BEC-BCS Crossover Region in Lithium 6
• Creation of ultracold molecules from a Fermi gas of atoms
• Bragg spectroscopy of a Bose-Einstein condensate
• Resonance superfluidity in a quantum degenerate Fermi gas
• The BCS-BEC Crossover in a Gas of Fermi Atoms with a Feshbach Resonance
• Prospect of creating a composite fermi/bose superfluid
• Measurement of interaction energy near a Feshbach resonance in a 6Li Fermi gas
• Fermi systems with long scattering lengths
• Laser probing of atomic Cooper pairs
• Pairing in low-density Fermi gases
• Density-induced BCS to Bose-Einstein crossover
• Schwinger-Dyson approach to non-equilibrium classical field theory
• Momentum distribution of a trapped Fermi gas with large scattering length
• Feshbach resonance in dense ultracold Fermi gases
• Real-time dynamics of the O(N) model in 1+1 dimensions

Cited by in corpus (34)

• Polarized Fermi condensates with unequal masses: Tuning the tricritical point
• BCS-to-BEC crossover from the exact BCS solution
• Critical Temperature and Energy Gap for the BCS Equation
• The BCS Functional for General Pair Interactions
• Conventional character of the BCS-BEC cross-over in ultra-cold gases of 40K
• Pair Correlations in the Two-Dimensional Fermi Gas
• Superfluid Fermi atomic gas as a quantum simulator for the study of neutron-star equation of state
• Multi-channel scattering and Feshbach resonances: Effective theory, phenomenology, and many-body effects
• High-temperature limit of the resonant Fermi gas
• Relativistic description of BCS-BEC crossover in nuclear matter
• Bose-Einstein condensation of Efimovian triples in the unitary Bose gas
• The $s$-wave scattering length of a Gaussian potential
• The BCS-BEC Crossover
• Entanglement production with multimode Bose-Einstein condensates in optical lattices
• BCS-BEC Crossover in Atomic Fermi Gases with a Narrow Resonance
• BCS-BEC crossover of atomic Fermi superfluid in a spherical bubble trap
• Auxiliary field formalism for dilute fermionic atom gases with tunable interactions
• Spin noise spectroscopy to probe quantum states of ultracold fermionic atomic gases
• Bosonic characters of atomic Cooper pairs across resonance
• Density and spin response functions in ultracold fermionic atom gases
• Role of the effective range in the density-induced BEC-BCS crossover
• The Contact in the BCS-BEC crossover for finite range interacting ultracold Fermi gases
• Theory of strongly paired fermions with arbitrary short-range interactions
• Generalized Crossover in Interacting Fermions within the Low-Energy Expansion
• Density correlation functions and the spatial structure of the two-dimensional BEC-BCS crossover
• Structure of exciton condensates in imbalanced electron-hole bilayers
• Domes of $T_c$ in single-band and multiband superconductors with finite-range attractive interactions
• From the pion cloud of Tomonaga to the electron pairs of Schrieffer: many body wave functions from nuclear physics to condensed matter physics
• Dynamics of a quantum quench in an ultra-cold atomic BCS superfluid
• Two-body correlation functions in nuclear matter with $np$ condensate
• Bogoliubov spectrum of a cigar shaped Fermi superfluid in an optical lattice at the BEC-BCS crossover
• Coupled-cluster theory of a gas of strongly-interacting fermions in the dilute limit
• Acoustic attenuation rate in the Fermi-Bose model with a finite-range fermion-fermion interaction
• Regime of Validity of the Pairing Hamiltonian in the Study of Fermi Gases