Adiabatic Path to Fractional Quantum Hall States of a Few Bosonic Atoms

Abstract

We propose a realistic scheme to create motional entangled states of a few bosonic atoms. It can experimentally be realized with a gas of ultra cold bosonic atoms trapped in a deep optical lattice potential. By simultaneously deforming and rotating the trapping potential on each lattice site it is feasible to adiabatically create a variety of entangled states on each lattice well. We fully address the case of N=2 and N=4 atoms per well and identify a sequence of fractional quantum Hall states: the Pfaffian state, the 1/2-Laughlin quasiparticle and the 1/2-Laughlin state. Exact knowledge of the spectrum has allowed us to design adiabatic paths to these states, with all times and parameters well within the reach of current experimental setups. We further discuss the detection of these states by measuring different properties as their density profile, angular momentum or correlation functions.

6 pages, 5 figures

References in corpus (8)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Transition from a strongly interacting 1D superfluid to a Mott insulator
• Controlled Collisions for Multiparticle Entanglement of Optically Trapped Atoms
• Exciting Collective Oscillations in a Trapped 1D Gas
• Rapidly Rotating Bose-Einstein Condensates in and near the Lowest Landau Level
• Quantum Hall fractions in rotating Bose-Einstein condensates
• Entanglement interferometry for precision measurement of atomic scattering properties
• Cooperative Ring Exchange and Quantum Melting of Vortex Lattices in Atomic Bose-Einstein Condensates

Cited by in corpus (52)

• Non-Abelian Anyons and Topological Quantum Computation
• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• Rapidly Rotating Atomic Gases
• Fractional Quantum Hall Effect in Optical Lattices
• Topological orbital ladders
• Realizing and Adiabatically Preparing Bosonic Integer and Fractional Quantum Hall states in Optical Lattices
• Pfaffian State Generation by Strong 3-Body Dissipation
• Optical lattice quantum Hall effect
• Minimum instances of topological matter in an optical plaquette
• Phase transitions and adiabatic preparation of a fractional Chern insulator in a boson cold atom model
• Topological growing of Laughlin states in synthetic gauge fields
• Ordered structures in rotating ultracold Bose gases
• ${\mathbb{Z}}_2$ lattice gauge theories and Kitaev's toric code: A scheme for analog quantum simulation
• Signatures of Fractional Exclusion Statistics in the Spectroscopy of Quantum Hall Droplets
• Recent Developments in Fractional Chern Insulators
• Fractional quantum Hall states of few bosonic atoms in geometric gauge fields
• Bosonic Pfaffian State in the Hofstadter-Bose-Hubbard Model
• Creating and manipulating non-Abelian anyons in cold atom systems using auxiliary bosons
• Strongly correlated states of a small cold atomic cloud from geometric gauge fields
• On-site correlations in optical lattices: band mixing to coupled quantum Hall puddles
• Edge states in graphene quantum dots: Fractional quantum Hall effect analogies and differences at zero magnetic field
• Validity of the Lowest Landau Level Approximation for Rotating Bose Gases
• Measurable signatures of bosonic fractional Chern insulator states and their fractional excitations in a quantum-gas microscope
• Bosonic fractional quantum Hall states in driven optical lattices
• Coherent generation of photonic fractional quantum Hall states in a cavity and the search for anyonic quasiparticles
• Anyonic molecules in atomic fractional quantum Hall liquids: a quantitative probe of fractional charge and anyonic statistics
• Quantum optics and frontiers of physics: The third quantum revolution
• Stirring trapped atoms into fractional quantum Hall puddles
• Preparation of the 1/2-Laughlin state with atoms in a rotating trap
• Skyrmion Ground States of Rapidly Rotating Few-Fermion Systems
• Quantal molecular description and universal aspects of the spectra of bosons and fermions in the lowest Landau level
• Symmetry breaking in small rotating cloud of trapped ultracold Bose atoms
• Two-body recombination in a quantum mechanical lattice gas: Entropy generation and probing of short-range magnetic correlations
• A fully quantal molecular description for the spectra of bosons and fermions in the lowest Landau level
• Growing Extended Laughlin States in a Quantum Gas Microscope: A Patchwork Construction
• Fragility of the fractional quantum spin Hall effect in quantum gases
• Dynamical Equilibration of Topological Properties
• Hall response of interacting bosonic atoms in strong gauge fields: from condensed to FQH states
• Strongdeco: Expansion of analytical, strongly correlated quantum states into a many-body basis
• Exact closed-form analytic wave functions in two dimensions: Contact-interacting fermionic spinful ultracold atoms in a rapidly rotating trap
• Fractional quantum Hall physics and higher-order momentum correlations in a few spinful fermionic contact-interacting ultracold atoms in rotating traps
• Are smooth pseudopotentials a good choice for representing short-range interactions?
• Fractional Excitations in Cold Atomic Gases
• Creating fractional quantum Hall states with atomic clusters using light-assisted insertion of angular momentum
• Continuous Transition between Bosonic Fractional Chern Insulator and Superfluid
• Quantum algorithm for the Laughlin wave function
• Magnetization and collective excitations of a magnetic dipole fermion gas
• Optimal control for preparing fractional quantum Hall states in optical lattices
• Scissors mode of trapped dipolar gases
• Wave-function microscopy: Derivation and anatomy of exact algebraic spinful wave functions and full Wigner-molecular spectra of a few highly correlated rapidly rotating ultracold fermionic atoms
• Chiral Edge Excitations of $\nu =1/2$ Fractional Chern Insulators in the Bosonic Hofstadter Model
• Artificial versus Natural Atoms: The uncanny capability of the many-body Schrödinger equation to produce emergent behavior