Creating fractional quantum Hall states with atomic clusters using light-assisted insertion of angular momentum
arXiv:1608.07460 · doi:10.1103/PhysRevA.94.043610
Abstract
We describe a protocol to prepare clusters of ultracold bosonic atoms in strongly-interacting states reminiscent of fractional quantum Hall states. Our scheme consists in injecting a controlled amount of angular momentum to an atomic gas using Raman transitions carrying orbital angular momentum. By injecting one unit of angular momentum per atom, one realizes a single-vortex state, which is well described by mean field theory for large enough particle numbers. We also present schemes to realize fractional quantum Hall states, namely the bosonic Laughlin and Moore-Read states. We investigate the requirements for adiabatic nucleation of a such topological states, in particular comparing linear Landau-Zener ramps and arbitrary ramps obtained from optimized control methods. We also show that this protocol requires excellent control over the isotropic character of the trapping potential.
8 pages, 7 figures
References in corpus (62)
- Many-Body Physics with Ultracold Gases
- Non-Abelian Anyons and Topological Quantum Computation
- Artificial gauge potentials for neutral atoms
- Vortex formation in a stirred Bose-Einstein condensate
- Synthetic magnetic fields for ultracold neutral atoms
- Light-induced gauge fields for ultracold atoms
- Vortices and Superfluidity in a Strongly Interacting Fermi Gas
- Spin-orbit coupling in quantum gases
- Berezinskii-Kosterlitz-Thouless Crossover in a Trapped Atomic Gas
- The maximum speed of dynamical evolution
- Rapidly Rotating Atomic Gases
- Bloch oscillations and mean-field effects of Bose-Einstein condensates in 1-D optical lattices
- Optimal Control at the Quantum Speed Limit
- Quantum Phases of Vortices in Rotating Bose-Einstein Condensates
- Rapidly Rotating Bose-Einstein Condensates in and near the Lowest Landau Level
- Optimal control technique for Many Body Quantum Systems dynamics
- Quantum limits to dynamical evolution
- Quantum Brachistochrone
- Three-body interactions with cold polar molecules
- Observation of scale invariance and universality in two-dimensional Bose gases
- Condensation of `composite bosons' in a rotating BEC
- Do attractive bosons condense?
- 1/2-Anyons in small atomic Bose-Einstein condensates
- Quantum Hall fractions in rotating Bose-Einstein condensates
- Two-component Bose-Einstein Condensates with Large Number of Vortices
- Derivation of the Gross-Pitaevskii Equation for Rotating Bose Gases
- Quantum Adiabatic Brachistochrone
- Loading a Bose-Einstein Condensate onto an Optical Lattice: an Application of Optimal Control Theory to The Non Linear Schrödinger Equation
- Quantum Melting and Absence of Bose-Einstein Condensation in Two-Dimensional Vortex Matter
- Many-body Landau-Zener dynamics in coupled 1D Bose liquids
- Dressing the chopped-random-basis optimization: a bandwidth-limited access to the trap-free landscape
- Vortex Lattices in Rotating Atomic Bose Gases with Dipolar Interactions
- Time-dependent tunneling of Bose-Einstein condensates
- A Composite Fermion Description of Rotating Bose-Einstein Condensates
- Yrast line for weakly interacting trapped bosons
- Observation of the Presuperfluid Regime in a Two-Dimensional Bose Gas
- Exploring the Quantum Speed Limit with Computer Games
- An information theoretical analysis of quantum optimal control
- Adiabatic Preparation of Topological Order
- Synthetic Gauge Field with Highly Magnetic Lanthanide Atoms
- Effective magnetic fields in degenerate atomic gases induced by light beams with orbital angular momenta
- Pfaffian State Generation by Strong 3-Body Dissipation
- Speeding up critical system dynamics through optimized evolution
- Adiabatic Path to Fractional Quantum Hall States of a Few Bosonic Atoms
- Strongly Interacting Two-Dimensional Bose Gases
- From Rotating Atomic Rings to Quantum Hall States
- Incompressible liquid state of rapidly-rotating bosons at filling factor 3/2
- Exact Eigenstates for Repulsive Bosons in Two Dimensions
- Topological growing of Laughlin states in synthetic gauge fields
- Ordered structures in rotating ultracold Bose gases
- Analytical results for a trapped, weakly-interacting Bose-Einstein condensate under rotation
- Optimal control for unitary preparation of many-body states: application to Luttinger liquids
- Cooling through optimal control of quantum evolution
- On the complexity of controlling quantum many-body dynamics
- Strongly correlated states of a small cold atomic cloud from geometric gauge fields
- Competing Compressible and Incompressible Phases in Rotating Atomic Bose Gases at Filling Factor
- Emergence of Topological and Strongly Correlated Ground States in trapped Rashba Spin-Orbit Coupled Bose Gases
- Stirring trapped atoms into fractional quantum Hall puddles
- Fractional quantum Hall states of a Bose gas with spin-orbit coupling
- Driving Dipolar Fermions into the Quantum Hall Regime by Spin-Flip Induced Insertion of Angular Momentum
- Fermions out of Dipolar Bosons in the lowest Landau level
- Incompressible Liquid, Stripes and Bubbles in rapidly rotating Bose atoms at