Dressed-particle approach in the nonrelativistic classical limit

Abstract

For a nonrelativistic classical particle undergoing arbitrary oscillations, the generalized effective potential Y is derived from nonlinear eigenfrequencies of the particle-field system. Specifically, the ponderomotive potential is extended to a nonlinear oscillator, resulting in multiple branches near the primary resonance. For a pair of natural frequencies in a beat resonance, Y scales linearly with the internal actions and is analogous to the dipole potential for a two-level quantum system. Thus cold quantum particles and highly-excited quasiclassical objects permit uniform manipulation tools, particularly, one-way walls.

References in corpus (9)

• Nonlinear mode coupling in rotating stars and the r-mode instability in neutron stars
• Experimental Realization of an Optical One-Way Barrier for Neutral Atoms
• Single-Photon Atomic Cooling
• Compression of Atomic Phase Space Using an Asymmetric One-Way Barrier
• Positive and negative effective mass of classical particles in oscillatory and static fields
• Statistical Mechanics of an Optical Phase Space Compressor
• Improvement by laser quenching of an "atom diode": a one-way barrier for ultra-cold atoms
• Dressed-state approach to a simple radiating atom
• Atom cooling with an atom-optical diode on a ring

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• Nonlinear dispersion of stationary waves in collisionless plasmas
• Ponderomotive forces on waves in modulated media
• Theory of spatially non-symmetric kinetic equilibria for collisionless plasmas
• Ponderomotive acceleration of hot electrons in tenuous plasmas
• Geometric view on noneikonal waves