Interaction stabilized steady states in the driven O(N) model

Understand

We study periodically driven bosonic scalar field theories in the infinite N limit.

• It is well-known that the free theory can undergo parametric resonance under monochromatic modulation of the mass term and thereby absorb energy indefinitely.
• Interactions in the infinite N limit terminate this increase for any choice of the UV cutoff and driving frequency.
• The steady state has non-trivial correlations and is synchronized with the drive.