Coboson many-body formalism for cold atom dimers with attraction between different fermion species only

Abstract

Unlike the Coulomb potential that acts between all semiconductor carriers, the potential commonly used for BCS superconductors and cold atom gases acts between different fermion species only, these species differing by their spin or hyperfine index. The coboson formalism we here develop evidences that such composite bosons interact through fermion exchange only, thus rendering the structure of the Shiva diagrams that visualize their many-body effects far simpler. A separable potential is used to obtain analytical results for the $N$-coboson normalization factor and the $N$-coboson ground-state energy within the Born approximation, in terms of the Born dimer-dimer scattering length. This formalism opens the route toward approaching complex many-body effects, such as Bose-Einstein condensation, through a new perspective.

11 pages, 11 figures

References in corpus (4)

• Weakly bound dimers of fermionic atoms
• Bosonic behavior of entangled fermions
• Superfluid equation of state of dilute composite bosons
• Dimer-dimer scattering length for fermions with different masses: analytical study for large mass ratio

Cited by in corpus (14)

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• Composite-boson approach to molecular Bose-Einstein condensates in mixtures of ultracold Fermi gases
• Fermionic versus bosonic behavior of confined Wigner molecules
• Correlated Pair Approach to Composite Boson Scattering Lengths
• Statistical signatures of states orthogonal to the Fock-state ladder of composite bosons
• On the description of composite bosons in discrete models
• Strongly bound fermion pairs on a ring: a composite-boson approach
• Assembly of 2N entangled fermions into multipartite composite bosons
• On dynamical stability of composite quantum particles: when entanglement is enough and when interaction is needed
• Nonlocal bunching of composite bosons
• Coboson many-body formalism for atom-dimer scattering length
• Conserved operators and exact conditions for pair condensation
• Composite Bosons Superposition Ansatz Approach to One-Dimensional Trapped Few-Fermion Systems
• Mysterious dimensionality effect: the cancellation of the $N$-coboson correlation energy under a BCS-like potential