光学腔中一维玻色-哈伯德模型的奇异超固相  

Exotic supersolid phase of one-dimensional Bose-Hubbard model inside an optical cavity

作　　者：周晓凡[1,2] 樊景涛 陈刚 贾锁堂[1,2] Zhou Xiao-Fan;Fan Jing-Tao;Chen Gang;Jia Suo-Tang(State Key Laboratory of Quantum Optics,Quantum Optics Devices,Institute of Laser Spectroscopy,Shanxi University,Taiyuan 030006,China;Collaborative Innovation Center of Extreme Optics,Shanxi University,Taiyuan 030006,China;Shandong Provincial Engineering,Technical Center of Light Manipulations,Shandong Normal University,Jinan 250358,China)

机构地区：[1]山西大学,激光光谱研究所,量子光学与光量子器件国家重点实验室,太原030006 [2]山西大学,极端光学协同创新中心,太原030006 [3]山东师范大学,光场调控及应用协同创新中心,济南250358

出　　处：《物理学报》2021年第19期66-73,共8页Acta Physica Sinica

基　　金：国家重点基础研究发展计划(批准号:2017YFA0304203);国家自然科学基金(批准号:11674200,12074232,12004230,11804204);山西省“1331工程”重点学科建设计划;山西省回国留学人员科研资助项目(批准号:HGKY2019003)资助的课题。

摘　　要：利用密度矩阵重整化群计算了光学腔中一维无自旋玻色-哈伯德模型的基态.通过研究超流序、局域密度分布、二阶和三阶关联函数,发现该系统出现了超越平均场理论的两个奇异超固相.这两个超固相同时具备对角和非对角长程序,其中一个展现出包络形式的密度调制振荡,另一个展现出均匀的密度分布.另外,结合光场的超辐射序参量和腔内的平均光子数,发现奇异超固相与腔光场的涨落存在密切关系.该工作给出了光学腔内玻色哈伯德模型的超越平均场理论的新物理,并提供了探索光学腔内光与物质集体物态的完整计算方法.Using a state-of-the-art numerical method density-matrix renormalization-group,we study the ground states of one-dimensional spinless Bose-Hubbard model inside a red-detuned cavity.By calculating the superfluid order,density distribution,second and third-order correlation functions,we find that there exist two novel supersolid phases with diagonal,off-diagonal orders beyond mean-field theory.One has package type density modulation along the lattice axis,another exhibits uniform density distribution.Moreover,by calculating the superradiant order parameter and the number of photon inside the cavity,we find that the novel supersolid phases are highly related to cavity-field fluctuation.Our work gives the physics beyond the mean-field theory of the Bose-Hubbard model inside an optical cavity,and provides the complete approach to fully explore the collective state of light and matter inside an optical cavity.

关 键 词：量子相变 密度矩阵重整化群 光学腔 

分 类 号：O469[理学—凝聚态物理]