bibkey: temme2012exclusion authors: Kristan Temme, Michael M. Wolf, and Frank Verstraete year: 2012 title: Stochastic exclusion processes versus coherent transport doi: 10.1088/1367-2630/14/7/075004 url: https://arxiv.org/abs/0912.0858v2 claim: Quantum master equations implement exclusion hopping, and symmetric stochastic hopping gives a diffusive particle current. strata_touched: [] license: citation-only triage: anchor

Symmetric exclusion as a specified quantum dynamics

Primary source and locator

New Journal of Physics 14 (2012), 075004. The arXiv record identifies v2 as revised on 1 April 2010; the preprint revision date differs from the journal year. The primary v2 PDF text, sections II and IV and equation (16), supplies the jump-operator setting and symmetric stochastic density current. PDF screenshot calls failed in this session; the source was read as parsed text, without a successful visual page inspection.

Use and scope

The arithmetic RT construction uses symmetric raising/lowering jumps on adjacent logical edge bits. The known exclusion mechanism is explicitly credited here. Its arbitrary finite-graph first-moment identity is proved directly, and then transported through a specified non-stabilizer central network and its sharing-tree encodings. The resulting capacity diffusion is not claimed as a new exclusion process, a derivation of gravitational dynamics, or a proof that the entire quantum state is determined by its mean occupations.

The paper studies one-dimensional models and steady-state transport, including coherent Hamiltonian additions. The RT statement does not import its full steady-state theory or assume arbitrary coherent additions preserve the population-only equation. Only diagonal additional Hamiltonians are allowed in the stated exact closure result. No numbered theorem or Lean coverage is attributed to this article.