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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.
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Keywords:
- optical lattice /
- dipole-dipole interaction /
- magnon /
- Casimir effect
[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]
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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
-
[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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