One Dimensional Bose-Hubbard Model Simulatation of Quantum Gas in Optical Lattice

doi:10.19678/j.issn.1000-3428.0051595

Computer Engineering ›› 2018, Vol. 44 ›› Issue (12): 1-5. doi: 10.19678/j.issn.1000-3428.0051595

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One Dimensional Bose-Hubbard Model Simulatation of Quantum Gas in Optical Lattice

LUAN Tian ¹,ZHANG Xuesong ¹,CHEN Xuzong ²

1.China Academy of Electronics and Information Technology,Beijing 100041,China; 2.School of Electronics Engineering and Computer Science,Peking University,Beijing 100871,China

Received:2018-05-21 Online:2018-12-15 Published:2018-12-15

量子气体在光晶格中的一维玻色-哈伯德模型模拟

栾添¹,张雪松¹,陈徐宗²

1.中国电子科学研究院,北京 100041; 2.北京大学信息科学技术学院,北京 100871

作者简介:栾添(1988—),男,博士,主研方向为量子探测、量子调控、量子模拟技术;张雪松,研究员;陈徐宗,教授、博士生导师。
基金资助:
中国博士后基金(2017M620859)

Abstract

Abstract:

For the one-dimensional Bose-Hubbard theoretical model of condensed matter,the quantum phase transition process of the superfluid-Mott insulation state in the one-dimensional Bose-Hubbard model is realized by continuously changing the depth of the optical lattice well and preparing the temperature of the quantum gas.Through the ultra-cold atomic Time of Flight(TOF) imaging method,the interference pattern of the momentum space of the quantum gas in the diffusion process is analyzed,and the change data of the superfluid component and the Mott insulation state component in the quantum phase transition process are obtained.Experimental results show that the quantum gas in the optical lattice can simulate the one-dimensional Bose-Hubbard theoretical model.

Key words: quantum simulation, quantum computation, quantum gas, optical lattice, Bose-Hubbard model

摘要：

针对凝聚态物理学的一维玻色-哈伯德理论模型,应用三维光晶格囚禁超冷量子气体进行量子模拟,通过连续改变光晶格势阱深度和制备量子气体温度,实现在一维玻色-哈伯德模型中超流-莫特绝缘态量子相变过程。通过超冷原子时间飞行(TOF)成像方法,对实验中量子气体在扩散过程中动量空间的干涉图样进行分析,得到在量子相变过程中的超流成分和莫特绝缘态成分的变化数据。实验结果表明,光晶格中量子气体可以较好地模拟一维玻色-哈伯德理论模型。

关键词: 量子模拟, 量子计算, 量子气体, 光晶格, 玻色-哈伯德模型

CLC Number:

O455+.3

LUAN Tian,ZHANG Xuesong,CHEN Xuzong. One Dimensional Bose-Hubbard Model Simulatation of Quantum Gas in Optical Lattice[J]. Computer Engineering, 2018, 44(12): 1-5.

栾添,张雪松,陈徐宗. 量子气体在光晶格中的一维玻色-哈伯德模型模拟[J]. 计算机工程, 2018, 44(12): 1-5.

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References

［1］MANIN Y I.Computable and uncomputable［EB/OL］.［2017-04-20］.http://citeseerx.ist.psu.edu/showciting?cid=4108164.
［2］BULUTA I,NORI F.Quantum simulators［J］.Science,2009,326(5949):108-111.
［3］谢可夫,许悟生.基于量子理论的图像中值滤波［J］.计算机工程,2013,39(1):244-247.
［4］吴楠,宋方敏.量子计算与量子计算机［J］.计算机科学与探索,2007,1(1):5-20.
［5］陈振宇,杨阳,季赛,等.基于量子委托计算模式的半量子密钥协商［J］.计算机工程,2018,44(3):178-181,188.
［6］BLOCH I,DALIBARD J,NASCIMBNE S.Quantum simulations with ultracold quantum gases［J］.Nature Physics,2012,8(4):267-276.
［7］罗智煌,彭新华.量子物质拓扑相的核磁共振量子模拟［J］.中国科学技术大学学报,2017,47(2):117-128.
［8］宋辉,戴葵,王志英.量子算法模拟系统研究现状［J］.计算机科学,2000,27(9):1-3.
［9］谭明锋,戴葵,刘芸.量子算法模拟实现技术研究［J］.国防科技大学学报,2000,22(2):86-89.
［10］GARAY L J,ANGLIN J R,CIRAC J I,et al.Sonic analog of gravitational black holes in Bose-Einstein condensates［J］.Physical Review Letters,2000,85(22):4643.
［11］HUNG C L,GURARIE V,CHIN C.From cosmology to cold atoms:observation of sakharov oscillations in a quenched atomic superfluid［J］.Science,2013,341(6151):1213-1215.
［12］STEINHAUER J.Observation of self-amplifying hawking radiation in an analog black hole laser［J］.Nature Physics,2014,10(11):1632-1638.
［13］JAKSCH D,BRUDER C,CIRAC J I,et al.Cold bosonic atoms in optical lattices［J］.Physical Review Letters,1998,81(15):3108-3111.
［14］GREINER M,MANDEL O,ESSLINGER T,et al.Quantum phase transition from a superfluid to a mott insulator in a gas of ultracold atoms［J］.Nature,2002,415(6867):39-44.
［15］UEHLINGER T,JOTZU G,MESSER M,et al.Artificial graphene with tunable interactions［J］.Physical Review Letters,2013,111(18):185307.
［16］JAKSCH D,ZOLLER P.The cold atom Hubbard toolbox［J］.Annals of Physics,2005,315(1):52-79.
［17］SIMON J,BAKR W S,MA R,et al.Quantum simulation of antiferromagnetic spin chains in an optical lattice［J］.Nature,2011,472(7343):307-312.
［18］HALDANE F D.Model for a quantum hall effect without landau levels:condensed-matter realization of the “parity anomaly”［J］.Physical Review Letters,1988,61(18):2015.
［19］KONDOV S S,MCGEHEE W R,ZIRBEL J J,et al.Three-dimensional anderson localization of ultracold matter［J］.Science,2011,334(6052):66-68.
［20］CAZALILLA M A,CITRO R,GIAMARCHI T,et al.One dimensional bosons:from condensed matter systems to ultracold gases［J］.Review of Modern Physics,2011,83(4):1405-1466.
［21］KUEHNER T D,WHITE S R,MONIEN H.The one-dimensional Bose-Hubbard model with nearest-neighbor interaction［J］.Physical Review B,1999,61(18):12474-12489.
［22］KHNER T D,MONIEN H.Phases of the one-dimensional Bose-Hubbard model［EB/OL］.［2017-04-20］.https://www.researchgate.net/publication/1945939_Phases_of_the_one-dimensional_Bose-Hubbard_model?citationList=incoming.
［23］LUNDH E.Dipole and monopole modes in the Bose-Hubbard model in a trap［J］.Physical Review A,2004,70(3):423-433.
［24］王义遒.原子的激光冷却与陷俘［M］.北京:北京大学出版社,2007.

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