{"title":"Thermalized Abrikosov lattices from decaying turbulence in rotating BECs","authors":"Julian Amette Estrada, M. Brachet, P. Mininni","doi":"10.1116/5.0123277","DOIUrl":null,"url":null,"abstract":"We study the long-time decay of rotating turbulence in Bose–Einstein condensates (BECs). We consider the Gross–Pitaevskii equation in a rotating frame of reference and review different formulations for the Hamiltonian of a rotating BEC. We discuss how the energy can be decomposed and present a method to generate out-of-equilibrium initial conditions. We also present a method to generate finite-temperature states of rotating BECs compatible with the Canonical or the Grand canonical ensembles. Finally, we integrate numerically rotating BECs in cigar-shaped traps. A transition is found in the system dynamics as the rotation rate is increased, with a final state of the decay of the turbulent flow compatible with an Abrikosov lattice in a finite-temperature thermalized state.","PeriodicalId":93525,"journal":{"name":"AVS quantum science","volume":" ","pages":""},"PeriodicalIF":4.2000,"publicationDate":"2022-08-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"AVS quantum science","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1116/5.0123277","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"QUANTUM SCIENCE & TECHNOLOGY","Score":null,"Total":0}
引用次数: 1
Abstract
We study the long-time decay of rotating turbulence in Bose–Einstein condensates (BECs). We consider the Gross–Pitaevskii equation in a rotating frame of reference and review different formulations for the Hamiltonian of a rotating BEC. We discuss how the energy can be decomposed and present a method to generate out-of-equilibrium initial conditions. We also present a method to generate finite-temperature states of rotating BECs compatible with the Canonical or the Grand canonical ensembles. Finally, we integrate numerically rotating BECs in cigar-shaped traps. A transition is found in the system dynamics as the rotation rate is increased, with a final state of the decay of the turbulent flow compatible with an Abrikosov lattice in a finite-temperature thermalized state.