Optical dispersion of Bose-Einstein condensates

LIAO Yujiao; DONG Guangjiong

doi:10.3969/j.issn.1000-5641.201922013

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Mar. 2020

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LIAO Yujiao, DONG Guangjiong. Optical dispersion of Bose-Einstein condensates[J]. Journal of East China Normal University (Natural Sciences), 2020, (2): 76-82. doi: 10.3969/j.issn.1000-5641.201922013

Citation:

LIAO Yujiao, DONG Guangjiong. Optical dispersion of Bose-Einstein condensates[J]. Journal of East China Normal University (Natural Sciences), 2020, (2): 76-82. doi: 10.3969/j.issn.1000-5641.201922013

LIAO Yujiao, DONG Guangjiong. Optical dispersion of Bose-Einstein condensates[J]. Journal of East China Normal University (Natural Sciences), 2020, (2): 76-82. doi: 10.3969/j.issn.1000-5641.201922013

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Optical dispersion of Bose-Einstein condensates

doi: 10.3969/j.issn.1000-5641.201922013

LIAO Yujiao,
DONG Guangjiong^,

State Key Laboratory of Precision Spectroscopy, East China Normal University, Shanghai　200062, China

Received Date: 2019-05-06
Publish Date: 2020-03-01

Abstract

Abstract

Recent studies have shown that Bose-Einstein condensates (BEC) can act like quantum dielectric materials, which react to light fields, and thus co-manipulation of light-matter waves is possible. So far, the dispersion properties of BEC for optical fields with a large degree of detuning have not been investigated. Accordingly, in this paper, we analytically obtain formulas for the first- and second-order dispersion. Our numerical calculation shows that the refractive index and the second-order dispersion coefficient depend on the properties of red or blue detuning. In the case of red detuning, the refractive index is greater than 1 and the second-order dispersion is normal dispersion. In the case of blue detuning, the refractive index is less than 1 and the second-order dispersion is anomalous dispersion. The second-order dispersion coefficient changes dramatically with changes in detuning. When the detuning quantity is on the order of GHz, the BEC can function as a strong dispersion medium. The first-order dispersion is independent with red detuning or blue detuning; as the amount of detuning increases, the first-order dispersion decreases and the corresponding group velocity increases. Our research shows that BEC is a new dispersion medium for manipulating ultrashort pulse light.
- Bose-Einstein condensate,
- dispersion,
- group velocity dispersion

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References(31)

References

[1]	GEORGESCU I M, ASHHAB S, NORI F. Quantum simulation [J]. Review of Modern Physics , 2014, 86(1): 153-185. DOI: 10.1103/RevModPhys.86.153.
[2]	BLOCH I. Ultracold quantum gases in optical lattices [J]. Nature Physics, 2005(1): 23-30. DOI: 10.1038/nphys138.
[3]	BLOCH I, DALIBARD J, NASCIMBENE S. Quantum simulations with ultracold quantum gases [J]. Nature Physics , 2012, 8(4): 267-276. DOI: 10.1038/nphys2259.
[4]	BLOCH I, DALIBARD J, ZWERGER W. Many-body physics with ultracold gases [J]. Review of Modern Physics , 2008, 80(3): 885-964. DOI: 10.1103/RevModPhys.80.885.
[5]	DUNNINGHAM J, BURNETT K, PHILLIPS W D. Bose-Einstein condensates and precision measurements [J]. Philosophical Transactions of the Royal Society A, 2006, 363(1834): 2165-2175. DOI: 10.1098/rsta.2005.1636.
[6]	BOIXO S, DATTA A, DAVIS M J, et al. Quantum metrology with Bose-Einstein condensates [J]. AIP Conference Proceedings, 2009, 1110(1): 423-426. DOI: 10.1063/1.3131366.
[7]	GINSBERG N S, GARNER S R, HAU L V. Coherent control of optical information with matter wave dynamics [J]. Nature, 2007, 445: 623-626. DOI: 10.1038/nature05493.
[8]	HANSEN A, LESLIE L S, BHATTACHARYA M, et al. Transfer and storage of optical information in a spinor Bose-Einstein condensate [J]. OSA/FiO/LS, 2010: LTuJ1.
[9]	CHU S. Cold atoms and quantum control [J]. Nature, 2002, 416: 206-210. DOI: 10.1038/416206a.
[10]	HOHENESTER U, REKDAL P K, BORZ A, et al. Optimal quantum control of Bose-Einstein condensates in magnetic microtraps [J]. Physical Review A, 2007, 75: 023602. DOI: 10.1103/PhysRevA.75.023602.
[11]	HAROUTYUNYAN H L. Coherent control of single atoms and Bose-Einstein condensates by light[D]. Netherlands: Leiden University, 2004.
[12]	ZHAO L, JIANG J, TANG T, et al. Dynamics in spinor condensates tuned by a microwave dressing field [J]. Physical Review A, 2014, 89(2): 023608. DOI: 10.1103/PhysRevA.89.023608.
[13]	CHANG M S, QIN Q, ZHANG W, et al. Coherent spinor dynamics in a spin-1 Bose condensate [J]. Nature Physics , 2005, 1(2): 111-116. DOI: 10.1038/nphys153.
[14]	BOHI P, RIEDEL M F, HOFFROGGE J, et al. Coherent manipulation of Bose-Einstein condensates with state-dependent microwave potentials on an atom chip [J]. Nature Physics , 2009, 5(8): 592-597. DOI: 10.1038/nphys1329.
[15]	ROBB G R, TESIO E, OPPO G L, et al. Quantum threshold for optomechanical self-structuring in a Bose-Einstein condensate [J]. Physical Review Letters, 2015, 114(17): 173903. DOI: 10.1103/PhysRevLett.114.173903.
[16]	OSTERMANN S, PIAZZA F, RITSCH H. Spontaneous crystallization of light and ultracold atoms [J]. Physical Review X, 2016, 6(2): 021026. DOI: 10.1103/PhysRevX.6.021026.
[17]	RODRIGUES J D, RODRIGUES J A, FERREIRA A V, et al. Photon bubble turbulence in cold atomic gases[J]. arXiv, 2016: 1604.08114v1.
[18]	LI K, DENG L, HAGLEY E W, et al. Matter-wave self-imaging by atomic center-of-mass motion induced interference [J]. Physical Review Letters, 2008, 101(25): 250401. DOI: 10.1103/PhysRevLett.101.250401.
[19]	ZHU J, DONG G, SHNEIDER M N, et al. Strong local-field effect on the dynamics of a dilute atomic gas irradiated by two counterpropagating optical fields: Beyond standard optical lattices [J]. Physical Review Letters, 2011, 106(21): 210403. DOI: 10.1103/PhysRevLett.106.210403.
[20]	DONG G, ZHU J, ZHANG W, et al. Polaritonic solitons in a Bose-Einstein condensate trapped in a soft optical lattice [J]. Physical Review Letters, 2013, 110(25): 250401. DOI: 10.1103/PhysRevLett.110.250401.
[21]	BONS P C, DE HAAS R, DE JONG D, et al. Quantum enhancement of the index of refraction in a Bose-Einstein condensate [J]. Physical Review Letters, 2016, 116(17): 173602. DOI: 10.1103/PhysRevLett.116.173602.
[22]	秦杰利. 旋量玻色-爱因斯坦凝聚体与微波相互作用中的磁局域场效应 [D]. 上海: 华东师范大学, 2016.
[23]	朱江. 光与超冷原子相互作用中的局域场效应 [D]. 上海: 华东师范大学, 2014.
[24]	COMPARAT D, FIORETTI A, STERN G, et al . Optimized production of large Bose-Einstein condensates [J]. Physical Review A, 2006, 73: 043410. DOI: 10.1103/PhysRevA.73.043410.
[25]	STREED E W, CHIKKATUR A P, GUSTAVSON T L, et al. Large atom number Bose-Einstein condensate machines [J]. Review of Scientific Instruments, 2006, 77(2): 023106. DOI: 10.1063/1.2163977.
[26]	VAN DER STAM K M, VAN OOIJEN E D, MEPPELINK R, et al. Large atom number Bose-Einstein condensate of sodium [J]. Review of Scientific Instruments, 2007, 78(1): 013102. DOI: 10.1063/1.2424439.
[27]	AGRAWAL G P. Nonlinear Fiber Optics[M]. 5th ed. New York: Academic Press, 2013.
[28]	GEHM M E. Preparation of an optically-trapped degenerate fermi gas of 6Li: Finding the route to degeneracy[D]. Durham: Duke University, 2003.
[29]	ZHAI Y Y, ZHANG P, CHEN X Z, et al. Bragg diffraction of a matter wave driven by a pulsed nonuniform magnetic field [J]. Physical Review A, 2013, 88: 053629. DOI: 10.1103/PhysRevA.88.053629.
[30]	PITAEVSKII L, STRINGARI S. Bose-Einstein Condensation[M]. Oxford: Clarendon Press, 2003.
[31]	PETHICK C J, SMITH H. Bose-Einstein Condensation in Dilute Gases[M]. 2nd ed. Cambridge: Cambridge University Press, 2008.