Ground state properties of a one-dimensional strongly-interacting Bose-Fermi mixture in a double-well potential

Abstract

We calculate the reduced single-particle density matrix (RSPDM), momentum distributions, natural orbitals and their occupancies, for a strongly interacting one-dimensional Bose-Fermi mixture in a double-well potential with a large central barrier. For mesoscopic systems, we find that the ground state properties qualitatively differ for mixtures with even number of particles (both odd-odd and even-even mixtures) in comparison to mixtures with odd particle numbers (odd-even and even-odd mixtures). For even mixtures the momentum distribution is smooth, whereas the momentum distribution of odd mixtures possesses distinct modulations; the differences are observed also in the off-diagonal correlations of the RSPDM, and in the occupancies of natural orbitals. The calculation is based on a derived formula which enables efficient calculation of the RSPDM for mesoscopic mixtures in various potentials.

10 figures

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Cited by in corpus (9)

• One-dimensional mixtures of several ultracold atoms: a review
• Strongly Interacting Quantum Gases in One-Dimensional Traps
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• Ground state properties of ultracold trapped bosons with an immersed ionic impurity
• An eccentrically perturbed Tonks-Girardeau gas
• Density-functional theory for 1D harmonically trapped Bose-Fermi mixture
• Hard-core Bose-Fermi mixture in one-dimensional split traps
• Momentum reconstruction and contact of the one-dimensional Bose-Fermi mixture
• Correlations and synchronization in a Bose-Fermi mixture