Rapidly rotating fermionic dipolar gases

Mikhail Baranov

University of Amsterdam, Van der Waals-Zeeman Institute, Valckenierstraat 65, 1018 XE Amsterdam, The Netherlands

We discuss an experimental feasibility of fractional quantum Hall-like and Wigner crystal-like states in ultracold two-dimensional rapidly rotating polarized dipolar Fermi gases. In particular, we argue that the ground state of the system at filling factor 1/3 is well described by the Laughlin wave function and find a substantial energy gap in the quasiparticle excitation spectrum. For low filling factors, we demonstrate the stability of a crystal state and indicate the possibility of a quantum phase transition from Laughlin liquid into Wigner crystal.

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