Dynamical Confinement and Magnetic Traps for Charges and Spins

Abstract

We use the effective field theory approach to systematically study the dynamics of classical and quantum systems in an oscillating magnetic field. We find that the fast field oscillations give rise to an effective interaction which is able to confine charged particles as well as neutral particles with a spin magnetic moment. The effect is reminiscent of the renown dynamical stabilization of charges by the oscillating electric field and provides a foundation for a new class of magnetic traps. The properties characteristic to the dynamical magnetic confinement are reviewed.

6 pages, 3 figures, numerical simulations added

References in corpus (15)

• New Measurement of the Electron Magnetic Moment and the Fine Structure Constant
• Programmable Quantum Simulations of Spin Systems with Trapped Ions
• Periodically-driven quantum systems: Effective Hamiltonians and engineered gauge fields
• High-frequency approximation for periodically driven quantum systems from a Floquet-space perspective
• Brillouin-Wigner theory for high-frequency expansion in periodically driven systems: Application to Floquet topological insulators
• Effective Hamiltonians for periodically driven systems
• Schrieffer-Wolff Transformation for Periodically Driven Systems: Strongly Correlated Systems with Artificial Gauge Fields
• Adiabatic Perturbation Theory and Geometry of Periodically-Driven Systems
• Magnetic Trapping of Neutrons
• Effective Hamiltonians for fastly driven many-body lattice systems
• Time independent description of rapidly oscillating potentials
• Accurate effective Hamiltonians via unitary flow in Floquet space
• Driven open quantum systems and Floquet stroboscopic dynamics
• Two-frequency operation of a Paul trap to optimise confinement of two species of ions
• Oscillating Fields, Emergent Gravity and Particle Traps