利用光晶格自旋链中磁振子的激发模拟有限温度下光子的动力学 Casimir 效应

赵旭; 赵兴东; 景辉

doi:10.7498/aps.62.060302

摘要

研究了在静磁场诱导的磁偶极-偶极相互作用和外部激光场诱导产生的偶极-偶极相互作用下光晶格自旋链中磁振子激发的动力学特征. 文中选取了蓝失谐光晶格, 提出了等效温度的概念, 并将系统中磁振子的激发过程与光学振动腔中光子的激发过程进行了类比. 研究表明, 通过选取适当的系统参数, 可以在磁振子系统中重现有限温度下光子的动力学Casimir效应.

关键词:

In this paper, we study the dynamical characteristics of magnons generated by the static magnetic dipole-dipole interaction and the external-laser induced dipole-dipole interaction in spin chain within an optical lattice. Specially, we choose a blue-detuned optical lattice and define an effective temperature for the system. We make a comparison between the generation process of magnons and that of photons in an optical vibration cavity. The results show that by suitably choosing the system parameters, the dynamical Casimir effect at finite temperature in the magnon system can be reproduced.

Keywords:

作者及机构信息

1.
华东师范大学物理系, 精密光谱科学与技术国家重点实验室, 上海 200062;

2.
河南师范大学物理与电子工程学院, 新乡 453007

基金项目: 国家重点基础研究发展计划 (批准号: 2011CB921604)、国家自然科学基金(批准号: 11004057, 10828408)和上海市重点学科带头人项目(批准号: B480)资助的课题.

Authors and contacts

1.
State Key Laboratory of Precision Spectroscopy, Department of Physics, East China Normal University, Shanghai 200062, China;

2.
College of Physics and Electronic Engineering, Henan Normal University, Xinxiang 453007, China

Funds: Project supported by the National Basic Research Program of China (Grant No. 2011CB921604), the National Natural Science Foundation of China (Grant Nos. 11004057, 10828408), and the Program of Shanghai Subject Chief Scientist, China (Grant No. B480).

参考文献

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[6]	Xie Z W, Zhang W P, Chui S T, Liu W M 2004 Phys. Rev. A 69 053609
[7]	Xie Z W, Cao Z X, Kats E I, Liu W M 2005 Phys. Rev. A 71 025601
[8]	Li Z D, He P B, Li L, Liang J Q, Liu W M 2005 Phys. Rev. A 71 053611
[9]	Zang X F, Li J P, Tan L 2007 Acta Phys. Sin. 56 4348 (in Chinese) [臧小飞, 李菊萍, 谭磊 2007 56 4348]
[10]	Chen H F, Huang J S, Xie Z W 2008 Acta Phys. Sin. 57 3435 (in Chinese) [陈海峰, 黄劲松, 谢征微 2008 57 3435]
[11]	Li Z D, Li Q Y, He P B, Liang J Q, Liu W M, Fu G S 2010 Phys. Rev. A 81 015602
[12]	Plunien G, Schtzhold R, Soff G 2000 Phys. Rev. Lett. 84 1882
[13]	Jing H, Shi Q J, Wu J S 2000 Phys. Lett. A 268 174501
[14]	Holstein T, Primakoff H 1940 Phys. Rev. 58 1098
[15]	Schumaker B L, Caves C M 1985 Phys. Rev. A 31 3093
[16]	Nolting W, Brewer W D 2009 Fundamentals of Many-Body Physics: Principles and Methods (Berlin: Springer-Verlag) p97
[17]	Nikuni T, Oshikawa M, Oosawa A, Tanaka H 2000 Phys. Rev. Lett. 84 5868
[18]	Demokritov S O, Demidov V E, Dzyapko O, Melkov G A, Serga A A, Hillebrands B, Slavin A N 2006 Nature 443 430
[19]	Zhao X D, Xie Z W, Zhang W P 2007 Acta Phys. Sin. 56 6358 (in Chinese) [赵兴东, 谢征微, 张卫平 2007 56 6358]
[20]	Golestanian R, Kardar M 1997 Phys. Rev. Lett. 78 3421
[21]	Kardar M, Golestanian R 1999 Rev. Mod. Phys. 71 1233
[22]	Emig T 2003 Europhys. Lett. 62 466
[23]	Liu S T, Zeng R, Xu J P, Yang Y P 2007 Acta Phys. Sin. 56 6446 (in Chinese) [刘树田, 曾然, 许静平, 羊亚平 2007 56 6446]
[24]	Klimchitskaya G L, Mohideen U, Mostepanenko V M 2009 Rev. Mod. Phys. 81 1827
[25]	Agnesi A, Braggio C, Bressi G, Carugno G, Della V F, Galeazzi G, Messineo G, Pirzio F, Reali G, Ruoso G, Scarpa D, Zanello D 2009 J. Phys.: Conf. Ser. 161 012028
[26]	Dodonov V V 2010 Phys. Scr. 82 038105
[27]	Wilson C M, Johansson G, Pourkabirian A, Simoen M, Johansson J R, Duty T, Nori F, Delsing P 2011 Nature 479 376
[28]	Saito H, Hyuga H 2008 Phys. Rev. A 78 033605
[29]	Schaller G, Schtzhold R, Plunien G, Soff G 2002 Phys. Rev. A 66 023812
[30]	Srivastava Y N, Widom A, Sivasubramanian S, Ganesh P M 2006 Phys. Rev. A 74 032101
[31]	Yampol'skii V A, Savel'ev S, Mayselis Z A, Apostolov S S, Nori F 2008 Phys. Rev. Lett. 101 096803
[32]	Alves D T, Granhen E R, Silva H O, Lima M G 2010 Phys. Rev. D 81 025016
[33]	Zhang W P 2003 Physica 32 76 (in Chinese) [张卫平 2003 物理 32 76]
[34]	Li Z W, Ma X M, Pang H, Li F S 2012 Chin. Phys. B 21 047601

施引文献

[1]	Prentiss M G 1993 Science 260 1078
[2]	Anderson M H, Ensher J R, Matthews M R, Wieman C E, Cornell E A 1995 Science 269 198
[3]	Huang K, Han R Q 1988 Solid-State Physics (Beijing: Higher Education Press) p417 (in Chinese) [黄昆, 韩汝琦 1988 固体物理学 (北京: 高等教育出版社) 第417页]
[4]	Wang Y Q, Xiong Y S, Yi L 1995 Chin. Phys. 4 505
[5]	Zhang W P, Pu H, Search C, Meystre P 2002 Phys. Rev. Lett. 88 060401
[6]	Xie Z W, Zhang W P, Chui S T, Liu W M 2004 Phys. Rev. A 69 053609
[7]	Xie Z W, Cao Z X, Kats E I, Liu W M 2005 Phys. Rev. A 71 025601
[8]	Li Z D, He P B, Li L, Liang J Q, Liu W M 2005 Phys. Rev. A 71 053611
[9]	Zang X F, Li J P, Tan L 2007 Acta Phys. Sin. 56 4348 (in Chinese) [臧小飞, 李菊萍, 谭磊 2007 56 4348]
[10]	Chen H F, Huang J S, Xie Z W 2008 Acta Phys. Sin. 57 3435 (in Chinese) [陈海峰, 黄劲松, 谢征微 2008 57 3435]
[11]	Li Z D, Li Q Y, He P B, Liang J Q, Liu W M, Fu G S 2010 Phys. Rev. A 81 015602
[12]	Plunien G, Schtzhold R, Soff G 2000 Phys. Rev. Lett. 84 1882
[13]	Jing H, Shi Q J, Wu J S 2000 Phys. Lett. A 268 174501
[14]	Holstein T, Primakoff H 1940 Phys. Rev. 58 1098
[15]	Schumaker B L, Caves C M 1985 Phys. Rev. A 31 3093
[16]	Nolting W, Brewer W D 2009 Fundamentals of Many-Body Physics: Principles and Methods (Berlin: Springer-Verlag) p97
[17]	Nikuni T, Oshikawa M, Oosawa A, Tanaka H 2000 Phys. Rev. Lett. 84 5868
[18]	Demokritov S O, Demidov V E, Dzyapko O, Melkov G A, Serga A A, Hillebrands B, Slavin A N 2006 Nature 443 430
[19]	Zhao X D, Xie Z W, Zhang W P 2007 Acta Phys. Sin. 56 6358 (in Chinese) [赵兴东, 谢征微, 张卫平 2007 56 6358]
[20]	Golestanian R, Kardar M 1997 Phys. Rev. Lett. 78 3421
[21]	Kardar M, Golestanian R 1999 Rev. Mod. Phys. 71 1233
[22]	Emig T 2003 Europhys. Lett. 62 466
[23]	Liu S T, Zeng R, Xu J P, Yang Y P 2007 Acta Phys. Sin. 56 6446 (in Chinese) [刘树田, 曾然, 许静平, 羊亚平 2007 56 6446]
[24]	Klimchitskaya G L, Mohideen U, Mostepanenko V M 2009 Rev. Mod. Phys. 81 1827
[25]	Agnesi A, Braggio C, Bressi G, Carugno G, Della V F, Galeazzi G, Messineo G, Pirzio F, Reali G, Ruoso G, Scarpa D, Zanello D 2009 J. Phys.: Conf. Ser. 161 012028
[26]	Dodonov V V 2010 Phys. Scr. 82 038105
[27]	Wilson C M, Johansson G, Pourkabirian A, Simoen M, Johansson J R, Duty T, Nori F, Delsing P 2011 Nature 479 376
[28]	Saito H, Hyuga H 2008 Phys. Rev. A 78 033605
[29]	Schaller G, Schtzhold R, Plunien G, Soff G 2002 Phys. Rev. A 66 023812
[30]	Srivastava Y N, Widom A, Sivasubramanian S, Ganesh P M 2006 Phys. Rev. A 74 032101
[31]	Yampol'skii V A, Savel'ev S, Mayselis Z A, Apostolov S S, Nori F 2008 Phys. Rev. Lett. 101 096803
[32]	Alves D T, Granhen E R, Silva H O, Lima M G 2010 Phys. Rev. D 81 025016
[33]	Zhang W P 2003 Physica 32 76 (in Chinese) [张卫平 2003 物理 32 76]
[34]	Li Z W, Ma X M, Pang H, Li F S 2012 Chin. Phys. B 21 047601

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