2017/03/31 by Daniel Pęcak, Mariusz Gajda, Tomasz Sowiński
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Eigenvalues and eigenvectors #Fermion #Hamiltonian (control theory) #Harmonic #Harmonic potential #High-Energy Particle Collisions Research #Invariant (physics) #Nuclear physics research studies #Spectral line #cond-mat.quant-gas #quant-ph
paper · pdf · doi:10.1007/s00601-017-1321-3
published as Few-Body Syst. 58, 159 (2017)
openalex created_date 2017/05/05 · openalex publication_date 2017/11/29 · arxiv created 2017/12/14 · arxiv updated 2017/12/15 · openalex updated_date 2026/08/05
A system of a two-flavour mixture of ultra-cold fermions confined in a one-dimensional harmonic trap is studied. Using the well-known properties of the centre-of-mass frame 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 may be helpful to determine an eigenstate of the Hamiltonian and to label excitations of the centre of mass. The tool presented can be easily applied and thus may be particularly useful in an experimental analysis of the interparticle interactions which do not affect the centre of mass excitations in a harmonic potential.