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arXiv · 2511.09643

Functional renormalization group study of a dissipative Bose--Hubbard model

Oscar Bouverot-Dupuis·Vincent Grison·Nicolas Paris
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Abstract

We investigate the phase diagram of a one-dimensional dissipative Bose-Hubbard model using the nonperturbative functional renormalization group (FRG). Each lattice site is coupled to an independent bath, generating long-range temporal interactions that encode non-Markovian dissipation. For a broad class of bath spectra - ohmic, sub-ohmic, and super-ohmic - we identify two competing low-energy regimes: a Luttinger-liquid line of fixed points and a dissipative fixed point characterized by finite compressibility, vanishing superfluid stiffness, and universal scaling exponents, separated by a Berezinskii-Kosterlitz-Thouless transition. The FRG framework is essential here, as it provides access to the complete renormalization group flow and all fixed points from a single microscopic action, beyond the reach of perturbative or variational methods. This work establishes a unified and systematically improvable framework for describing dissipative quantum phases in one dimension.

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Oscar Bouverot-Dupuis, Vincent Grison, Nicolas Paris. 2025-11-12. Functional renormalization group study of a dissipative Bose--Hubbard model. https://doi.org/10.1103/9t2w-8zzd

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