Experimentally accessible invariants encoded in interparticle correlations of harmonically trapped ultra-cold few-fermion mixtures

Abstract

System of a two-flavor mixture of ultra-cold fermions confined in a one-dimensional harmonic trap is studied in the frame of the center of mass. We present a numerical method of obtaining energetic spectra in this frame for an arbitrary mass ratio of fermionic species. We identify a specific invariant encoded in many-body correlations which enable one to determine an eigenstate of the Hamiltonian and to label excitations of the center of mass. The tool presented may be particularly useful in experimental analysis of the interparticle interactions which do not affect the center of mass excitations in a harmonic potential.

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Cited by in corpus (5)

• One-dimensional mixtures of several ultracold atoms: a review
• Accelerating the convergence of exact diagonalization with the transcorrelated method: Quantum gas in one dimension with contact interactions
• Global optimization for quantum dynamics of few-fermion systems
• Intercomponent correlations in attractive one-dimensional mass-imbalanced few-body mixtures
• Mass-imbalance induced structures of binary atomic mixtures in box potentials