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Heidelberg 2015 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 11: Quantum Gases: Fermions II

Q 11.2: Talk

Monday, March 23, 2015, 15:00–15:15, K/HS2

Strongly correlated states of trapped ultracold fermions in a U(2) gauge potentialMichele Burrello1, •Matteo Rizzi2, Marco Roncaglia3, and Andrea Trombettoni41Max-Planck-Institut für Quantenoptik, Garching, Germany — 2Johannes Gutenberg-Universität Mainz, Germany — 3INRIM, Torino, Italy — 4CNR-IOM DEMOCRITOS, SISSA and INFN, Trieste, Italy

We analyze the strongly correlated regime of a two-component trapped ultracold fermionic gas in a synthetic non-Abelian U(2) gauge potential, created by a magnetic field and a homogeneous spin-orbit coupling (SOC). The SOC deforms the Landau levels (DLL) and exchanges their ordering, though still allowing for a lowest DLL approximation. The corresponding Haldane pseudopotentials for interspecies contact interactions show, at sufficiently strong SOC, an unconventional non-monotonic behaviour in the relative angular momentum (NMHP). A harmonic trap combined with a Zeeman shift gives rise to a total angular momentum term, usable to experimentally test the stability of the so-obtained correlated states. In the 1st DLL we find standard Laughlin and Jain states. Instead, in the 2nd DLL, three classes of incompressible states appear: between Laughlin states and vortices of the integer QH state, the NMHPs induce two-particle correlations reminiscent of paired states such as the Haffnian one. Via exact diagonalization in the disk geometry, we compute experimentally relevant observables like density profiles and correlations, and we study the entanglement spectra to characterize the new intermediate strongly correlated states. [arXiv:1411.5962]

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