Fractional quantum Hall phases of bosons with tunable interactions: From the Laughlin liquid to a fractional Wigner crystal

Abstract

Highly tunable platforms for realizing topological phases of matter are emerging from atomic and photonic systems, and offer the prospect of designing interactions between particles. The shape of the potential, besides playing an important role in the competition between different fractional quantum Hall phases, can also trigger the transition to symmetry-broken phases, or even to phases where topological and symmetry-breaking order coexist. Here, we explore the phase diagram of an interacting bosonic model in the lowest Landau level at half-filling as two-body interactions are tuned. Apart from the well-known Laughlin liquid, Wigner crystal phase, stripe, and bubble phases, we also find evidence of a phase that exhibits crystalline order at fractional filling per crystal site. The Laughlin liquid transits into this phase when pairs of bosons strongly repel each other at relative angular momentum $4\hslash$. We show that such interactions can be achieved by dressing ground-state cold atoms with multiple different-parity Rydberg states.

arXiv comment5 pages, 5 figures, plus Supplemental Material

References in corpus (30)

• Quantum information with Rydberg atoms
• Topological entanglement entropy
• Detecting topological order in a ground state wave function
• Light-induced gauge fields for ultracold atoms
• Evidence for an Anisotropic State of Two-Dimensional Electrons in High Landau Levels
• Rapidly Rotating Atomic Gases
• Charge Density Wave in Two-Dimensional Electron Liquid in Weak Magnetic Field
• Liquid Crystal Phases of Quantum Hall Systems
• An experimental and theoretical guide to strongly interacting Rydberg gases
• Designing Frustrated Quantum Magnets with Laser-Dressed Rydberg Atoms
• Quantum magnetism and topological ordering via enhanced Rydberg-dressing near Förster-resonances
• Charge Density Wave Ordering in Half Filled High Landau Levels
• Vortex Lattices in Rotating Atomic Bose Gases with Dipolar Interactions
• Evidence for a fractional quantum Hall state with anisotropic longitudinal transport
• Field theory of the quantum Hall nematic transition
• Spontaneous Breakdown of Translational Symmetry in Quantum Hall Systems: Crystalline Order in High Landau Levels
• Observation of a transition from a topologically ordered to a spontaneously broken symmetry phase
• Theory of Nematic Fractional Quantum Hall State
• An Isotropic to Anisotropic Transition in a Fractional Quantum Hall State
• Composite Fermions Waltz to the Tune of a Wigner Crystal
• Effective Field Theory of Fractional Quantized Hall Nematics
• Crystallization in the Fractional Quantum Hall Regime Induced by Landau-level Mixing
• Entanglement Scaling of Fractional Quantum Hall states through Geometric Deformations
• Evidence of a fractional quantum Hall nematic phase in a microscopic model
• Fractional quantum Hall physics with ultracold Rydberg gases in artificial gauge fields
• Creating a bosonic fractional quantum Hall state by pairing fermions
• Nanoplasmonic planar traps - a tool for engineering p-wave interactions
• Vortex lattices for ultracold bosonic atoms in a non-Abelian gauge potential
• Incompressible Liquid, Stripes and Bubbles in rapidly rotating Bose atoms at $\nu =1$
• Strongly correlated states of trapped ultracold fermions in deformed Landau levels

Cited by in corpus (14)

• A concise review of Rydberg atom based quantum computation and quantum simulation
• Quench Dynamics of a Fermi Gas with Strong Non-Local Interactions
• Crystallization of Bosonic Quantum Hall States
• Minimal Model for Fast Scrambling
• Nondestructive cooling of an atomic quantum register via state-insensitive Rydberg interactions
• Microscopic Model for Fractional Quantum Hall Nematics
• Quantum spin ice in three-dimensional Rydberg atom arrays
• Enhancement of Rydberg Blockade via Microwave Dressing
• Interaction-dependent anisotropy of fractional quantum Hall states
• Reaching the quantum Hall regime with rotating Rydberg-dressed atoms
• Exotic photonic molecules via Lennard-Jones-like potentials
• Resonant enhancement of three-body loss between strongly interacting photons
• Bosonic quantum Hall droplets in rapidly rotating two-dimensional Bose-Einstein condensates
• Continuous transition and gapless roton inside fractional quantum anomalous Hall states