Oscillating Fields, Emergent Gravity and Particle Traps

TL;DR

This paper develops a classical and quantum effective theory for charged particles in oscillating fields, revealing emergent gravitational effects and applications to particle traps and Floquet quantum materials.

Contribution

It introduces a novel effective action that models emergent gravity phenomena in charged particle dynamics under oscillating fields.

Findings

Effective action models general relativity effects on nonrelativistic particles.

Emergent curvature and speed of light depend on field distribution and frequency.

Applicable to high-precision particle traps and Floquet quantum materials.

Abstract

We study the large-scale dynamics of charged particles in a rapidly oscillating field and formulate its classical and quantum effective theory description. The high-order perturbative results for the effective action are presented. Remarkably, the action models the effects of general relativity on the motion of nonrelativistic particles, with the values of the emergent curvature and speed of light determined by the field spatial distribution and frequency. Our results can be applied to a wide range of physical problems including the high-precision analysis and design of the charged particle traps and Floquet quantum materials.