Physical Review B最新文献

Probing hydrodynamic crossovers with dissipation-assisted operator evolution 利用耗散辅助算子演化探测水动力交叉

IF 3.7 2区物理与天体物理

Physical Review B Pub Date : 2026-04-27 DOI: 10.1103/gz9n-v8ty

N. S. Srivatsa, Oliver Lunt, Tibor Rakovszky, Curt von Keyserlingk

{"title":"Probing hydrodynamic crossovers with dissipation-assisted operator evolution","authors":"N. S. Srivatsa, Oliver Lunt, Tibor Rakovszky, Curt von Keyserlingk","doi":"10.1103/gz9n-v8ty","DOIUrl":"https://doi.org/10.1103/gz9n-v8ty","url":null,"abstract":"Using artificial dissipation to tame entanglement growth, we chart the emergence of diffusion in a generic interacting lattice model for varying U(1) charge densities. We follow the crossover from ballistic to diffusive transport above a scale set by the scattering length, finding the intuitive result that the diffusion constant scales as D</a:mi> ∝</a:mo> 1</a:mn> /</a:mo> ρ</a:mi> </a:mrow> </a:math> at low densities <b:math xmlns:b=\"http://www.w3.org/1998/Math/MathML\"> <b:mi>ρ</b:mi> </b:math> . Our numerical approach generalizes the Dissipation-Assisted Operator Evolution algorithm: in the spirit of the Bogoliubov-Born-Green-Kirkwood-Yvon hierarchy, we effectively approximate nonlocal operators by their ensemble averages, rather than discarding them entirely. This greatly reduces the operator entanglement entropy, while still giving accurate predictions for diffusion constants across all density scales. We further construct a minimal model for the transport crossover, yielding charge correlation functions which agree well with our numerical data. Our results clarify the dominant contributions to hydrodynamic correlation functions of conserved densities, and serve as a guide for generalizations to low-temperature transport.","PeriodicalId":20082,"journal":{"name":"Physical Review B","volume":"27 1","pages":""},"PeriodicalIF":3.7,"publicationDate":"2026-04-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147755079","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}