Journal
PHYSICAL REVIEW B
Volume 93, Issue 17, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.93.174305
Keywords
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Funding
- National Science Foundation [DMR-1311781, NSF PHY11-25915]
- Alexander von Humboldt Foundation
- German Science Foundation (DFG) via the Gottfried Wilhelm Leibniz Prize Programme at MPI-PKS
- Government of Canada through Industry Canada
- Province of Ontario through the Ministry of Economic Development and Innovation
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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 nontrivial correlations and is synchronized with the drive. The O(N) model at infinite N provides the first example of a clean interacting quantum system that does not heat to infinite temperature at any drive frequency.
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