BCS-to-BEC crossover from the exact BCS solution
arXiv:cond-mat/0503664 · doi:10.1103/PhysRevA.72.043611
Abstract
The BCS-to-BEC crossover, as well as the nature of Cooper pairs, in a superconducting and Fermi superfluid medium is studied from the exact ground state wavefunction of the reduced BCS Hamiltonian. As the strength of the interaction increases, the ground state continuously evolves from a mixed-system of quasifree fermions and pair resonances (BCS), to pair resonances and quasibound molecules (pseudogap), and finally to a system of quasibound molecules (BEC). A single unified scenario arises where the Cooper-pair wavefunction has a unique functional form. Several exact analytic expressions, such as the binding energy and condensate fraction, are derived. We compare our results with recent experiments in ultracold atomic Fermi gases.
5 pages, 4 figures. Revised version with one figure added
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Cited by in corpus (58)
- Many-Body Physics with Ultracold Gases
- Fermi gases in one dimension: From Bethe Ansatz to experiments
- Thermodynamics of the BCS-BEC crossover
- Determination of the Fermion Pair Size in a Resonantly Interacting Superfluid
- Momentum distribution and condensate fraction of a Fermi gas in the BCS-BEC crossover
- Quantum phase diagram of the integrable p_x+ip_y fermionic superfluid
- Many-body characterization of topological superconductivity: The Richardson-Gaudin-Kitaev chain
- Generic strong coupling behavior of Cooper pairs in the surface of superfluid nuclei
- Exact mesoscopic correlation functions of the pairing model
- Condensate fraction of a resonant Fermi gas with spin-orbit coupling in three and two dimensions
- Spin-correlation functions in ultracold paired atomic-fermion systems: sum rules, self-consistent approximations, and mean fields
- Exactly solvable pairing Hamiltonian for heavy nuclei
- Expansion of a Fermi Cloud in the BCS-BEC Crossover
- Evolution of the Pseudogap in a polarized Fermi gas
- Atypical BCS-BEC crossover induced by quantum-size effects
- Exact results for the 1D interacting Fermi gas with arbitrary polarization
- Pair condensation and bound states in fermionic systems
- Cooper pairs in atomic nuclei
- Condensate Fraction of a Two-Dimensional Attractive Fermi Gas
- Integrable models for asymmetric Fermi superfluids: Emergence of a new exotic pairing phase
- Novel ansatz for charge radii in density functional theories
- Superfluidity, Sound Velocity and Quasi Condensation in the 2D BCS-BEC Crossover
- Collective dispersion relations for the 1D interacting two-component Bose and Fermi gases
- What is a particle-conserving Topological Superfluid?
- Critical Josephson current in BCS-BEC crossover superfluids
- Breached pairing in trapped three-color atomic Fermi gases
- Tuning Rashba and Dresselhaus spin-orbit couplings: Effects on singlet and triplet condensation with Fermi atoms
- Effective-range dependence of resonant Fermi gases
- BCS-BEC Crossover in Atomic Fermi Gases with a Narrow Resonance
- "Probabilistic" approach to Richardson equations
- Mean-Field vs Monte-Carlo equation of state for the expansion of a Fermi superfluid in the BCS-BEC crossover
- Pair condensation in a Finite Trapped Fermi Gas
- Bosonic characters of atomic Cooper pairs across resonance
- Benchmarking the variational reduced density matrix theory in the doubly-occupied configuration interaction space with integrable pairing models
- Condensate formation with three-component ultracold fermions
- Superfluid Condensate Fraction and Pairing Wave Function of the Unitary Fermi Gas
- Condensate Fraction in Neutron Matter
- Coboson formalism for Cooper pairs used to derive Richardson's equations
- Pair condensation in the BCS-BEC crossover of ultracold atoms loaded onto a 2D square lattice
- Density correlation functions and the spatial structure of the two-dimensional BEC-BCS crossover
- Spatial structure of the pair wavefunction and the density correlation functions at the BEC-BCS crossover
- Cooper pair sizes in superfluid nuclei in a simplified model
- Interplay of interlayer pairing and many-body screening in a bilayer of dipolar fermions
- The Elliptic Gaudin Model: a Numerical Study
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- Quantum entanglement and phase transition in a two-dimensional photon-photon pair model
- Pairing in 4-component fermion systems: the bulk limit of SU(4)-symmetric Hamiltonians
- Localization of pairing correlations in nuclei within relativistic mean field models
- Yu-Shiba-Rusinov states, the BCS-BEC crossover, and the exact solution in the flat-band limit
- Relative Phase and Josephson Dynamics between Weakly Coupled Richardson Models
- From Narrow to Broad Feshbach Resonances: Condensate Fraction of Cooper Pairs and Preformed Molecules
- Pair condensation of polarized fermions in the BCS-BEC crossover
- Unitary Fermi gas in the epsilon expansion
- Integrable model of a -wave bosonic superfluid
- Three-component Fermi gas with SU(3) symmetry: BCS-BEC crossover in three and two dimensions
- A nucleon-pair and boson coexistent description of nuclei
- Fermionic condensation in ultracold atoms, nuclear matter and neutron stars
- Two-band atomic superfluidity in the presence of an orbital Feshbach resonance