Quantum critical scaling in convective active matter
Abstract
We construct a minimal field theory for critical quantum active matter, describing a nonconserved scalar order parameter with Landau-Ginzburg ordering and self-advection. When diffusive noise dominates, higher-order quantum vertices and non-Gaussian noise fluctuations remain relevant alongside the deterministic nonlinearities, with an upper critical dimension dc=2. A one-loop renormalization-group analysis in d=2−ε reveals a purely dissipative fixed point, where nonlinear noise suppresses convection, and a quantum convective saddle, where interactions, convection, and non-Gaussian noise coexist. We determine the critical exponents, show that the convective regime is distinct from conventional Burgers hydrodynamics, and discuss how it could govern transient universal scaling in microscopic models of quantum active matter before a crossover to semi-classical dynamics.
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BibTeX
@misc{marino2026quantum,
title = {{Quantum critical scaling in convective active matter}},
author = {Jamir Marino},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.37569},
eprint = {2610.37569},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.37569},
}
RIS
TY - UNPB
TI - Quantum critical scaling in convective active matter
AU - Jamir Marino
PY - 2026
DA - 2026/10/27
PB - arXiv
DO - 10.48550/arxiv.2610.37569
UR - https://arxiv.org/abs/2610.37569
AB - We construct a minimal field theory for critical quantum active matter, describing a nonconserved scalar order parameter with Landau-Ginzburg ordering and self-advection. When diffusive noise dominates, higher-order quantum vertices and non-Gaussian noise fluctuations remain relevant alongside the deterministic nonlinearities, with an upper critical dimension d_c=2. A one-loop renormalization-group analysis in d=2−ε reveals a purely dissipative fixed point, where nonlinear noise suppresses convection, and a quantum convective saddle, where interactions, convection, and non-Gaussian noise coexist. We determine the critical exponents, show that the convective regime is distinct from conventional Burgers hydrodynamics, and discuss how it could govern transient universal scaling in microscopic models of quantum active matter before a crossover to semi-classical dynamics.
ER -