Fractional quantum Hall physics with ultracold Rydberg gases in artificial gauge fields

Abstract

We study ultracold Rydberg-dressed Bose gases subject to artificial gauge fields in the fractional quantum Hall (FQH) regime. The characteristics of the Rydberg interaction gives rise to interesting many-body ground states different from standard FQH physics in the lowest Landau level (LLL). The non-local but rapidly decreasing interaction potential favors crystalline ground states for very dilute systems. While a simple Wigner crystal becomes energetically favorable compared to the Laughlin liquid for filling fractions $\nu <1/12$, a correlated crystal of composite particles emerges already for $\nu \le 1/6$ with a large energy gap to the simple Wigner crystal. The presence of a new length scale, the Rydberg blockade radius $a_B$, gives rise to a bubble crystal phase for $\nu \lesssim 1/4$ when the average particle distance becomes less than $a_B$, which describes the region of saturated, almost constant interaction potential. For larger fillings indications for strongly correlated cluster liquids are found.

9 pages, 10 figures, extended version with additional material

References in corpus (7)

• Non-Abelian Anyons and Topological Quantum Computation
• Evidence for coherent collective Rydberg excitation in the strong blockade regime
• Fractional Quantum Hall States and Jack Polynomials
• Fractional Quantum Hall Effect in Optical Lattices
• Optical Flux Lattices for Ultracold Atomic Gases
• Rydberg excitation of Bose-Einstein condensates
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Cited by in corpus (10)

• Topological Photonics
• Correlation effects in two-dimensional topological insulators
• Fractional Quantum Hall States of Rydberg Polaritons
• Topological growing of Laughlin states in synthetic gauge fields
• Microscopic Model for Fractional Quantum Hall Nematics
• Photons and polaritons in a time-reversal-broken non-planar resonator
• Fractional quantum Hall states of dipolar fermions in a strained optical lattice
• Thermometry for Laughlin States of Ultracold Atoms
• Autoionization-enhanced Rydberg dressing by fast contaminant removal
• Physical Realization of von Neumann Lattices in Rotating Dipole-blockaded Bose Gases