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Oscillating Fields, Emergent Gravity and Particle Traps
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.Comment: 5 pages, 2 figures, a few typos correcte