Nonequilibrium orders in parametrically driven field theories
arXiv:2506.18622 · doi:10.1103/pd38-y84z
The paper builds a field‑theoretic framework showing that rapid parametric driving can generate nonequilibrium phases, including a time‑crystalline order, in O(N) models that describe long‑wavelength fluctuations of ordering fields in condensed‑matter systems.
Abstract
Driving quantum materials with coherent light has proven a powerful platform to realize a plethora of interesting phases and transitions, ranging from ferroelectricity to superconductivity and limit cycles in pumped magnonics. In this paper we develop the field theoretical framework to describe nonequilibrium phases that emerge in systems pumped by rapid parametric drives. We consider paradigmatic O(N) models that describe the long-wavelength fluctuations of ordering fields in many condensed matter set ups. We show that rapid parametric driving of these models can induce an effective pump mechanism in the long wavelength regime through nonlinear scattering. This induces a nonequilibrium transition into a time-crystalline phase.