Exact pairing correlations in one-dimensional trapped fermions with stochastic mean-field wave-functions

Abstract

The canonical thermodynamic properties of a one-dimensional system of interacting spin-1/2 fermions with an attractive zero-range pseudo-potential are investigated within an exact approach. The density operator is evaluated as the statistical average of dyadics formed from a stochastic mean-field propagation of independent Slater determinants. For an harmonically trapped Fermi gas and for fermions confined in a 1D-like torus, we observe the transition to a quasi-BCS state with Cooper-like momentum correlations and an algebraic long-range order. For few trapped fermions in a rotating torus, a dominant superfluid component with quantized circulation can be isolated.

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Cited by in corpus (15)

• Gaussian quantum Monte Carlo methods for fermions
• Stochastic quantum dynamics beyond mean-field
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• Many interacting fermions in a one-dimensional harmonic trap: a quantum-chemical treatment
• Unitary evolution with fluctuations and dissipation
• Pairing of few Fermi atoms in one dimension
• Sign-free stochastic mean-field approach to strongly correlated phases of ultracold fermions
• Unconventional pairing in one-dimensional systems of a few mass-imbalanced ultracold fermions
• Reduced density matrix approach to ultracold few-fermion systems in one dimension
• Stochastic simulations of fermionic dynamics with phase-space representations
• First-principles quantum dynamics for fermions: Application to molecular dissociation
• Coherence and correlation properties of a one-dimensional attractive Fermi gas
• Stochastic Schroedinger equation from optimal observable evolution
• Phaseless quantum Monte-Carlo approach to strongly correlated superconductors with stochastic Hartree-Fock-Bogoliubov wavefunctions
• Four electrons in a two-leg Hubbard ladder: exact ground states