Functional renormalization group study of a dissipative Bose--Hubbard model
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866909010925453312 |
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| author | Bouverot-Dupuis, Oscar Grison, Vincent Paris, Nicolas |
| author_facet | Bouverot-Dupuis, Oscar Grison, Vincent Paris, Nicolas |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2511_09643 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Functional renormalization group study of a dissipative Bose--Hubbard model Bouverot-Dupuis, Oscar Grison, Vincent Paris, Nicolas Quantum Gases Strongly Correlated Electrons 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. |
| title | Functional renormalization group study of a dissipative Bose--Hubbard model |
| topic | Quantum Gases Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2511.09643 |