Wilson S. Martins, Federico Carollo, Kay Brandner, Igor Lesanovsky
{"title":"雷德贝格原子系统中的准周期弗洛克-吉布斯态","authors":"Wilson S. Martins, Federico Carollo, Kay Brandner, Igor Lesanovsky","doi":"arxiv-2409.12044","DOIUrl":null,"url":null,"abstract":"Open systems that are weakly coupled to a thermal environment and driven by\nfast, periodically oscillating fields are commonly assumed to approach an\nequilibrium-like steady state with respect to a truncated Floquet-Magnus\nHamiltonian. Using a general argument based on Fermi's golden rule, we show\nthat such Floquet-Gibbs states emerge naturally in periodically modulated\nRydberg atomic systems, whose lab-frame Hamiltonian is a quasiperiodic function\nof time. Our approach applies as long as the inherent Bohr frequencies of the\nsystem, the modulation frequency and the frequency of the driving laser, which\nis necessary to uphold high-lying Rydberg excitations, are well separated. To\ncorroborate our analytical results, we analyze a realistic model of up to five\ninteracting Rydberg atoms with periodically changing detuning. We demonstrate\nnumerically that the second-order Floquet-Gibbs state of this system is\nessentially indistinguishable from the steady state of the corresponding\nRedfield equation if the modulation and driving frequencies are sufficiently\nlarge.","PeriodicalId":501226,"journal":{"name":"arXiv - PHYS - Quantum Physics","volume":"64 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Quasiperiodic Floquet-Gibbs states in Rydberg atomic systems\",\"authors\":\"Wilson S. Martins, Federico Carollo, Kay Brandner, Igor Lesanovsky\",\"doi\":\"arxiv-2409.12044\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Open systems that are weakly coupled to a thermal environment and driven by\\nfast, periodically oscillating fields are commonly assumed to approach an\\nequilibrium-like steady state with respect to a truncated Floquet-Magnus\\nHamiltonian. Using a general argument based on Fermi's golden rule, we show\\nthat such Floquet-Gibbs states emerge naturally in periodically modulated\\nRydberg atomic systems, whose lab-frame Hamiltonian is a quasiperiodic function\\nof time. Our approach applies as long as the inherent Bohr frequencies of the\\nsystem, the modulation frequency and the frequency of the driving laser, which\\nis necessary to uphold high-lying Rydberg excitations, are well separated. To\\ncorroborate our analytical results, we analyze a realistic model of up to five\\ninteracting Rydberg atoms with periodically changing detuning. We demonstrate\\nnumerically that the second-order Floquet-Gibbs state of this system is\\nessentially indistinguishable from the steady state of the corresponding\\nRedfield equation if the modulation and driving frequencies are sufficiently\\nlarge.\",\"PeriodicalId\":501226,\"journal\":{\"name\":\"arXiv - PHYS - Quantum Physics\",\"volume\":\"64 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-09-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - PHYS - Quantum Physics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2409.12044\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - PHYS - Quantum Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.12044","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Quasiperiodic Floquet-Gibbs states in Rydberg atomic systems
Open systems that are weakly coupled to a thermal environment and driven by
fast, periodically oscillating fields are commonly assumed to approach an
equilibrium-like steady state with respect to a truncated Floquet-Magnus
Hamiltonian. Using a general argument based on Fermi's golden rule, we show
that such Floquet-Gibbs states emerge naturally in periodically modulated
Rydberg atomic systems, whose lab-frame Hamiltonian is a quasiperiodic function
of time. Our approach applies as long as the inherent Bohr frequencies of the
system, the modulation frequency and the frequency of the driving laser, which
is necessary to uphold high-lying Rydberg excitations, are well separated. To
corroborate our analytical results, we analyze a realistic model of up to five
interacting Rydberg atoms with periodically changing detuning. We demonstrate
numerically that the second-order Floquet-Gibbs state of this system is
essentially indistinguishable from the steady state of the corresponding
Redfield equation if the modulation and driving frequencies are sufficiently
large.