Analysis of self-thermalization dynamics in the Bose-Hubbard model by using the pseudoclassical approach

Quantum Physics arXiv:2601.22553 (quant-ph) [Submitted on 30 Jan 2026] Title:Analysis of self-thermalization dynamics in the Bose-Hubbard model by using the pseudoclassical approach Authors:Andrey R. Kolovsky View a PDF of the paper titled Analysis of self-thermalization dynamics in the Bose-Hubbard model by using the pseudoclassical approach, by Andrey R. Kolovsky View PDF HTML (experimental) Abstract:We analyze the self-thermalization dynamics of the $M$-site Bose-Hubbard model in terms of the single-particle density matrix that is calculated by using the pseudoclassical approach. It is shown that a weak inter-particle interaction, which suffices to convert the integrable system of non-interacting bosons into a chaotic system, has a negligible effect on the thermal density matrix given by the Bose-Einstein distribution. This opens the door for equilibration where the two coupled Bose-Hubbard systems, which are initially in different thermal states, relax to the same thermal state. When we couple these two subsystems by using a lattice of the length $L\ll M$, we numerically calculate the quasi-stationary current of Bose particles across the lattice and show that its magnitude is consistent with the solution of the master equation for the boundary driven $L$-site Bose-Hubbard model. Comments: Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2601.22553 [quant-ph] (or arXiv:2601.22553v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2601.22553 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Andrey R. Kolovsky [view email] [v1] Fri, 30 Jan 2026 04:47:40 UTC (473 KB) Full-text links: Access Paper: View a PDF of the paper titled Analysis of self-thermalization dynamics in the Bose-Hubbard model by using the pseudoclassical approach, by Andrey R. KolovskyView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2026-01 References & Citations INSPIRE HEP NASA ADSGoogle Scholar Semantic Scholar export BibTeX citation Loading... BibTeX formatted citation × loading... Data provided by: Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer (What is the Explorer?) Connected Papers Toggle Connected Papers (What is Connected Papers?) Litmaps Toggle Litmaps (What is Litmaps?) scite.ai Toggle scite Smart Citations (What are Smart Citations?) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv (What is alphaXiv?) Links to Code Toggle CatalyzeX Code Finder for Papers (What is CatalyzeX?) DagsHub Toggle DagsHub (What is DagsHub?) GotitPub Toggle Gotit.pub (What is GotitPub?) Huggingface Toggle Hugging Face (What is Huggingface?) Links to Code Toggle Papers with Code (What is Papers with Code?) ScienceCast Toggle ScienceCast (What is ScienceCast?) Demos Demos Replicate Toggle Replicate (What is Replicate?) Spaces Toggle Hugging Face Spaces (What is Spaces?) Spaces Toggle TXYZ.AI (What is TXYZ.AI?) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower (What are Influence Flowers?) Core recommender toggle CORE Recommender (What is CORE?) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs. Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)