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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2503.19788 |
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| _version_ | 1866915559006797824 |
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| author | Faupin, Jérémy Lemm, Marius Sigal, Israel Michael Zhang, Jingxuan |
| author_facet | Faupin, Jérémy Lemm, Marius Sigal, Israel Michael Zhang, Jingxuan |
| contents | We consider a broad class of strongly interacting quantum lattice gases, including the Fermi-Hubbard and Bose-Hubbard models. We focus on macroscopic particle clusters of size $θN$, with $θ\in(0,1)$ and $N$ the total particle number, and we study the quantum probability that such a cluster is transported across a distance $r$ within time $t$. Conventional effective light cone arguments yield a bound of the form $\exp(v t-r)$. We report a substantially stronger bound $\exp(θN(vt-r))$, which provides exponential suppression that scales with system size. Our result establishes a universal dynamical large deviation principle: macroscopic suppression of supersonic macroscopic transport (MASSMAT). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_19788 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Macroscopic suppression of supersonic quantum transport Faupin, Jérémy Lemm, Marius Sigal, Israel Michael Zhang, Jingxuan Mathematical Physics Strongly Correlated Electrons Quantum Physics We consider a broad class of strongly interacting quantum lattice gases, including the Fermi-Hubbard and Bose-Hubbard models. We focus on macroscopic particle clusters of size $θN$, with $θ\in(0,1)$ and $N$ the total particle number, and we study the quantum probability that such a cluster is transported across a distance $r$ within time $t$. Conventional effective light cone arguments yield a bound of the form $\exp(v t-r)$. We report a substantially stronger bound $\exp(θN(vt-r))$, which provides exponential suppression that scales with system size. Our result establishes a universal dynamical large deviation principle: macroscopic suppression of supersonic macroscopic transport (MASSMAT). |
| title | Macroscopic suppression of supersonic quantum transport |
| topic | Mathematical Physics Strongly Correlated Electrons Quantum Physics |
| url | https://arxiv.org/abs/2503.19788 |