Towards a quantum Hall effect for atoms using electric fields

Abstract

An atomic analogue of Landau quantization based on the Aharonov-Casher (AC) interaction is developed. The effect provides a first step towards an atomic quantum Hall system using electric fields, which may be realized in a Bose-Einstein condensate.

References in corpus (1)

• 1/2-Anyons in small atomic Bose-Einstein condensates

Cited by in corpus (39)

• Magnonic topological insulators in antiferromagnets
• Landau Quantization of Neutral Particles in an External Field
• Magnonic quantum Hall effect and Wiedemann-Franz law
• Landau Levels Analog to Electric Dipole
• Aharonov-Bohm effect for bound states in relativistic scalar particle systems in a spacetime with a space-like dislocation
• Landau quantization for a neutral particle in presence of topological defects
• Relativistic Landau-Aharonov-Casher quantization based on the Lorentz symmetry violation background
• An Analogy of the Quantum Hall Condutivity in a Lorentz-symmetry Violation Setup
• Relativistic Landau quantization for a neutral particle
• Relativistic Landau-He-McKellar-Wilkens quantization and relativistic bound states solutions for a Coulomb-like potential induced by the Lorentz symmetry breaking effects
• Landau Analog Levels for Dipoles in the Noncommutative Space and Phase Space
• Non-relativistic quantum effects on the harmonic oscillator in a spacetime with a distortion of a vertical line into a vertical spiral
• A geometric approach to confining a Dirac neutral particle in analogous way to a quantum dot
• On an atom with a magnetic quadrupole moment subject to harmonic and linear confining potentials
• Rotating effects on the Landau quantization for an atom with a magnetic quadrupole moment
• Laser control of magnonic topological phases in antiferromagnets
• Analysis of the interaction of an electron with radial electric fields in the presence of a disclination
• New degeneracies and modification of Landau levels in the presence of a parallel linear electric field
• Relativistic quantum dynamics of neutral particle in external electric fields: An approach on effects of spin
• On atomic analogue of Landau quantization
• A semiclassical treatment of the interaction of non-uniform electric fields with the electric quadrupole moment of a neutral particle
• Geometric quantum phase for displaced states for a particle with an induced electric dipole moment
• Quantum effects on an atom with a magnetic quadrupole moment in a region with a time-dependent magnetic field
• The relativistic dynamics of oppositely charged two fermions interacting with external uniform magnetic field
• Noninertial effects on a Dirac neutral particle inducing an analogue of the Landau quantization in the cosmic string spacetime
• Analogue of the quantum Hall effect for neutral particles with magnetic dipole moment
• A doubly anharmonic oscillator in an induced electric dipole system
• Entanglement of topological phase factors
• Missing Aharonov-Casher geometric quantum phase
• Landau-like states in neutral particles
• de Haas van Alphen oscillations for neutral atoms in electric fields
• Quantum dot with spin-orbit interaction in noncommutative phase space and analog Landau levels
• Algebraic solution and coherent states for the Dirac oscillator interacting with the Aharonov-Casher system in the cosmic string background
• On a neutral particle with a magnetic quadrupole moment in a uniform effective magnetic field
• Two-dimensional Noncommutative atom Gas with Anandan interaction
• Effects of Lorentz Symmetry Breaking Environment on Generalized Relativistic Quantum Oscillator Field
• Landau Quantization for $\Lambda$-Type Neutral Atoms in an Homogeneous Spin-Dependent Gauge Potential
• Realization of cyons and anyons by atoms
• A protected spin-orbit induced absorption divergence in distorted Landau levels