The Contact in the BCS-BEC crossover for finite range interacting ultracold Fermi gases
arXiv:1202.2939 · doi:10.1016/j.physleta.2013.05.002
Abstract
Using mean-field theory for the Bardeen-Cooper-Schriefer (BCS) to the Bose-Einstein condensate (BEC) crossover we investigate the ground state thermodynamic properties of an interacting homogeneous Fermi gas. The interatomic interactions modeled through a finite range potential allows us to explore the entire region from weak to strong interacting regimes with no approximations. To exhibit the thermodynamic behavior as a function of the potential parameters in the whole crossover region, we concentrate in studying the contact variable, the thermodynamic conjugate of the inverse of the s-wave scattering length. Our analysis allows us to validate the mean-field approach across the whole crossover. It also leads to predict a quantum transition-like in the case when the potential range becomes large. This finding is a direct consequence of the k-dependent energy gap for finite interaction range potentials.
4 pages, 3 figures
References in corpus (20)
- Theory of ultracold Fermi gases
- Observation of Bose-Einstein Condensation of Molecules
- Generalized Virial Theorem and Pressure Relation for a strongly correlated Fermi gas
- Molecular Probe of Pairing in the BEC-BCS Crossover
- Verification of universal relations in a strongly interacting Fermi gas
- Strongly paired fermions: Cold atoms and neutron matter
- Epsilon expansion for a Fermi gas at infinite scattering length
- Number of closed-channel molecules in the BEC-BCS crossover
- Universal Properties of the Ultra-Cold Fermi Gas
- Equation of state of a superfluid Fermi gas in the BCS-BEC crossover
- Local Density Functional Theory for Superfluid Fermionic Systems: The Unitary Gas
- BCS-BEC crossover at finite temperature in the broken-symmetry phase
- Energetics and Structural Properties of Trapped Two-Component Fermi Gases
- Realization of a Resonant Fermi Gas with a Large Effective Range
- The ground state energy at unitarity
- Next-to-next-to-leading-order epsilon expansion for a Fermi gas at infinite scattering length
- Superfluid equation of state of dilute composite bosons
- BEC-BCS crossover of a trapped Fermi gas without using the local density approximation
- Universal behavior of a trapped Fermi superfluid in the BCS-unitarity crossover
- Equation of State and Phases of Polarized Unitary Fermi Gas
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- Spatial structure of the pair wavefunction and the density correlation functions at the BEC-BCS crossover
- Re-examining the quadratic approximation in theory of a weakly interacting Bose gas with condensate: the role of nonlocal interaction potentials
- Broken-axisymmetry state and magnetic state diagram of spin-1 condensate through the prism of quadrupole degrees of freedom
- A model study on superfluidity of a unitary Fermi gas of atoms interacting with a finite-ranged potential