Vortex and fractional quantum Hall phases in a rotating anisotropic Bose gas

Abstract

Realizing fractional quantum Hall (FQH) states in ultracold atomic systems remains a major goal despite numerous experimental advances in the last few decades. Recent progress in trap anisotropy control under rapid rotation has renewed interest in ultracold atomic FQH physics, enabling experiments that impart much larger angular momentum per particle and offer in-situ imaging with resolution finer than the cyclotron orbit size. In this paper, we present a theoretical investigation of a rapidly rotating anisotropic Bose gas. By projecting the full Hamiltonian, including both kinetic and interaction terms, onto the lowest Landau level, we derive a compact two-parameter model that captures the effects of interaction strength, rotation rate, and anisotropy. Using exact diagonalization and density matrix renormalization group, we obtain a phase diagram that features broken-symmetry phases and topologically ordered quantum Hall states, while also highlighting the distinctive physics arising from the system's edges. Our results demonstrate the potential for future theoretical and experimental exploration of anisotropic quantum fluids, offering a unified framework for weakly interacting Bose condensates, vortex matter, and strongly correlated topological phases.

10 pages, 4 figures

References in corpus (23)

• The ITensor Software Library for Tensor Network Calculations
• QuSpin: a Python Package for Dynamics and Exact Diagonalisation of Quantum Many Body Systems part I: spin chains
• Infinite density matrix renormalization group for multicomponent quantum Hall systems
• Realization of a fractional quantum Hall state with ultracold atoms
• Quantum Hall system in Tao-Thouless limit
• Half-Filled Lowest Landau Level on a Thin Torus
• Quantum Hall physics in rotating Bose-Einstein condensates
• Observation of vortices and vortex stripes in a dipolar Bose-Einstein condensate
• Crystallization of Bosonic Quantum Hall States
• Lowest Landau-level description of a Bose-Einstein condensate in a rapidly rotating anisotropic trap
• Domain wall type defects as anyons in phase space
• Fast rotating condensates in an asymmetric harmonic trap
• Composite fermion theory of rapidly rotating two-dimensional bosons
• Hard-Wall Confinement of a Fractional Quantum Hall Liquid
• Deconfinement Dynamics of Fractons in Tilted Bose-Hubbard Chains
• Symmetry breaking in Laughlin's state on a cylinder
• Preparation of the 1/2-Laughlin state with atoms in a rotating trap
• Observation of chiral edge transport in a rapidly-rotating quantum gas
• Edge properties of principal fractional quantum Hall states in the cylinder geometry
• Quantum Hall Circle
• Emergent Fracton Hydrodynamics of Ultracold Atoms in Partially Filled Landau Levels
• Rotating Bose gas dynamically entering the lowest Landau level
• Rotating anisotropic Bose gas with large number of vortices