{"paper":{"title":"Universal classical and quantum fluctuations in the large deviations of current of noisy quantum systems: Quantum symmetric simple exclusion and inclusion processes","arxiv_id":"2601.16883","primary_cat":"cond-mat.stat-mech","submitted_at":"2026-01-23T16:45:31+00:00","version_compiled":"v2"},"notice":"Every quoted sentence is the authors' text from the arXiv listing abstract. Labels and probabilities are the outputs of classifier-1.13.0 on the question bank abstract-p1-20260923, exactly as returned. No sentence in this record was written by a language model.","schema":"pith.compiled-record/v0","status":"compiled","abstract":{"source":"arXiv listing abstract v2","sentences":[{"i":0,"p":0.91,"id":"s0","own":true,"role":"contribution","text":"We study the fluctuation statistics of integrated currents in noisy quantum diffusive systems, focusing on the Quantum Symmetric Simple Exclusion and Inclusion Processes (QSSEP/QSSIP).","hedge":{"p":0.9,"label":"asserted"},"own_p":0.89,"main_claim_p":0.05,"quantitative":false,"quantitative_p":0.06,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.0,"background":0.09,"limitation":0.0,"future_work":0.0,"contribution":0.91,"interpretation":0.0}},{"i":1,"p":0.52,"id":"s1","own":false,"role":"background","text":"These one-dimensional fermionic (QSSEP) and bosonic (QSSIP) models feature stochastic nearest-neighbor hopping driven by Brownian noise, together with boundary injection and removal processes.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.13,"main_claim_p":0.03,"quantitative":false,"quantitative_p":0.31,"role_probabilities":{"gap":0.0,"method":0.43,"result":0.0,"background":0.52,"limitation":0.0,"future_work":0.0,"contribution":0.05,"interpretation":0.0}},{"i":2,"p":0.81,"id":"s2","own":false,"role":"background","text":"They provide solvable microscopic settings in which quantum coherence coexists with diffusion.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.18,"main_claim_p":0.03,"quantitative":false,"quantitative_p":0.04,"role_probabilities":{"gap":0.0,"method":0.08,"result":0.0,"background":0.81,"limitation":0.0,"future_work":0.0,"contribution":0.03,"interpretation":0.07}},{"i":3,"p":0.77,"id":"s3","own":false,"role":"background","text":"Upon noise averaging, their dynamics reduce to those of the classical SSEP/SSIP.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.22,"main_claim_p":0.06,"quantitative":false,"quantitative_p":0.1,"role_probabilities":{"gap":0.0,"method":0.11,"result":0.09,"background":0.77,"limitation":0.0,"future_work":0.0,"contribution":0.01,"interpretation":0.02}},{"i":4,"p":0.97,"id":"s4","own":true,"role":"result","text":"We show that the cumulant-generating function of the integrated current, at large scales, obeys a large deviation principle.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.94,"main_claim_p":0.22,"quantitative":false,"quantitative_p":0.12,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.97,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.03,"interpretation":0.0}},{"i":5,"p":0.96,"id":"s5","own":true,"role":"result","text":"To leading order in system size and for each noise realization, it converges to that of the corresponding classical process, establishing a classical typicality of current fluctuations in these noisy quantum systems.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.94,"main_claim_p":0.57,"quantitative":true,"quantitative_p":0.65,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.96,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.04}},{"i":6,"p":0.72,"id":"s6","own":true,"role":"result","text":"We further demonstrate a direct connection with Macroscopic Fluctuation Theory (MFT), showing that the large-scale equations satisfied by biased quantum densities coincide with the steady-state Hamilton equations of MFT, thereby providing a microscopic quantum justification of the MFT framework in these models.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.94,"main_claim_p":0.25,"quantitative":false,"quantitative_p":0.15,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.72,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.15,"interpretation":0.13}},{"i":7,"p":0.56,"id":"s7","own":true,"role":"result","text":"Finally, we identify the leading finite-size corrections to the current statistics.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.95,"main_claim_p":0.05,"quantitative":false,"quantitative_p":0.08,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.56,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.44,"interpretation":0.0}},{"i":8,"p":0.96,"id":"s8","own":true,"role":"result","text":"We show the existence of subleading contributions of purely quantum origin, which are absent in the corresponding classical setting, and provide their explicit expressions for the second and third current cumulants.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.95,"main_claim_p":0.15,"quantitative":true,"quantitative_p":0.53,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.96,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.04,"interpretation":0.0}},{"i":9,"p":0.44,"id":"s9","own":false,"role":"limitation","text":"These quantum corrections are amenable to direct experimental or numerical verification, provided sufficient control over the noise realizations can be achieved.","hedge":{"p":0.76,"label":"hedged_possibility"},"own_p":0.32,"main_claim_p":0.05,"quantitative":false,"quantitative_p":0.05,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.03,"background":0.0,"limitation":0.44,"future_work":0.4,"contribution":0.01,"interpretation":0.12}},{"i":10,"p":0.94,"id":"s10","own":true,"role":"interpretation","text":"Their presence points toward the necessity of a quantum extension of MFT.","hedge":{"p":0.77,"label":"hedged_possibility"},"own_p":0.62,"main_claim_p":0.2,"quantitative":false,"quantitative_p":0.05,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.0,"background":0.0,"limitation":0.0,"future_work":0.06,"contribution":0.0,"interpretation":0.94}}]},"compiled":{"main_claim":{"p":0.92,"text":"To leading order in system size and for each noise realization, it converges to that of the corresponding classical process, establishing 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