Bulletin of the American Physical Society
APS March Meeting 2024
Monday–Friday, March 4–8, 2024; Minneapolis & Virtual
Session OD01: V: On-Demand Presentations - Available throughout March Meeting
6:00 AM,
Sunday, March 3, 2024
Abstract: OD01.00030 : Driven-Dissipative Bose-Einstein Condensation and the Upper Critical Dimension
Presenter:
Yikang Zhang
(Duke University)
Authors:
Yikang Zhang
(Duke University)
Thomas Barthel
(Duke University)
Above the upper critical dimension, mean-field theory shows that pumping and two-particle driving induce condensation right at the boundary between the stable and unstable regions of the non-interacting theory. With nonzero two-particle driving, the condensate is gapped. This picture is consistent with the recent observation that, without symmetry constraints beyond invariance under single-particle basis transformations, all gapped quadratic bosonic Liouvillians belong to the same phase.
For systems below the upper critical dimension, the edge-correlated pumping penalizes high-momentum fluctuations, rendering the theory renormalizable. We perform the one-loop renormalization group analysis, finding a condensation transition inside the unstable region of the non-interacting theory. Interestingly, its critical behavior is determined by a Wilson-Fisher-like fixed point.
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