Regensburg 2019 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 42: Focus: Many-Body Quantum Chaos
DY 42.9: Talk
Thursday, April 4, 2019, 12:15–12:30, H20
Spectral structure of systems of partially distinguishable bosons — •Gabriel Dufour1,2, Tobias Brünner1, Alberto Rodríguez1, and Andreas Buchleitner1 — 1Physikalisches Institut, Albert-Ludwigs-Universität Freiburg — 2Freiburg Institute for Advanced Studies, Albert-Ludwigs-Universität Freiburg
We consider bosons whose single-particle "external" Hilbert space is augmented by an "internal" degree of freedom, which allows to tune their mutual distinguishability and switch many-particle interference effects on or off. The resulting many-particle Hilbert space decomposes as a direct sum of irreducible representations of the external unitary group. Hamiltonians which do not act on the internal degree of freedom can be accordingly block-diagonalised. We discuss the consequences for the spectra of non-interacting and interacting systems as the distinguishability of the particles is varied [1]. In particular, we show how the transition between regular and chaotic spectra is affected by the distinguishability of the bosons.
[1] T. Brünner, Signatures of partial distinguishability in the dynamics of interacting bosons, PhD thesis, Albert-Ludwigs-Universität Freiburg (2018)