20.500.12556/DiRROS-24430 Exact solution to a Bhatnagar-Gross-Krook-type equation for quantum lattice gases with dephasing noise The mean-state dynamics of free fermions subject to random projective measurements of local occupation number operators is governed by a Lindblad equation with dephasing noise. In the continuum limit, the equation of motion for the correlation matrix is mapped to a kinetic equation for the Wigner function, which corresponds to a special case of the Bhatnagar-Gross-Krook (BGK) equation without energy conservation. Our main result is the solution to the kinetic equation, showing that the Wigner dynamics emerges from stochastic sampling of classical run-and-tumble processes. As an application, we recover the crossover between ballistic and diffusive transport regimes. quantum lattice gases dephasing noise BGK-type kinetic equation kvantni plini na mreži dekoherenca dephasing šum BGK kinetična enačba true false true American Physical Society ZDA Angleški jezik Slovenski jezik Neznano 2025-11-27 11:52:46 2025-11-27 11:52:47 2025-11-28 03:40:50 0000-00-00 00:00:00 2025 0 0 Nasl. z nasl. zaslona; Opis vira z dne 27. 11. 2025; str. 024315-1-024315-9 [article no.] 024315 Vol. 112 Jul. 2025 0000-00-00 Zaloznikova Objavljeno NiDoloceno 2025-01-24 2025-07-09 2025-07-25 53 2469-9969 10.1103/29z8-3t16 258943747 https://journals.aps.org/prb/pdf/10.1103/29z8-3t16 1 37e014fd-cb7f-11f0-94a7-001a4af901a5 https://dirros.openscience.si/Dokument.php?lang=slv&id=36380 RAZ_Coppola_Michele_2025.pdf RAZ_Coppola_Michele_2025.pdf Raziskovalni podatki so na voljo na spletni strani https://zenodo.org/records/15854708. 1 D82613E349050CECD8B55D8A3B3EA464 80966eea67998ba05885b668d095c0afcb7a3fd4b8fd12958f7cd6fcf9755fb8 cad67a22-cb7f-11f0-94a7-001a4af901a5 https://dirros.openscience.si/Dokument.php?lang=slv&id=36381 Institut Jožef Stefan 0 0 0