Chinese Physics B, Volume. 29, Issue 8, (2020)

Simulation of anyons by cold atoms with induced electric dipole moment

Jian Jing1、†, Yao-Yao Ma1, Qiu-Yue Zhang1, Qing Wang2, and Shi-Hai Dong3
Author Affiliations
  • 1College of Mathematics and Physics, Beijing University of Chemical Technology, Beijing 00029, China
  • 2College of Physics and Technology, Xinjiang University, Urumqi 830046, China
  • 3Laboratorio de Información Cuántica, CIDETEC, Instituto Politécnico Nacional, UPALM, CDMX 07700, Mexico
  • show less
    References(44)

    [1] Y Aharonov, D Bohm. Phys. Rev, 115, 485(1959).

    [2] Y Aharonov, A Casher. Phys. Rev. Lett, 53, 319(1994).

    [3] X G He, B H J Mckellar. Phys. Rev. A, 47, 3424(1993).

    [4] M Wilkens. Phys. Rev. Lett, 72, 5(1994).

    [5] J P Dowling, C P Williams, J D Franson. Phys. Rev. Lett, 83, 2486(1999).

    [6] M Wilkens. Phys. Rev. Lett, 81, 1534(1998).

    [7] H Wei, R Han, X Wei. Phys. Rev. Lett, 75, 2071(1995).

    [8] M Ericsson, E Sjöqvist. Phys. Rev. A, 65(2001).

    [9] L R Ribeiro, C Furtado, J R Nascimento. Phys. Lett. A, 348, 135(2006).

    [10] C Furtado, J R Nascimento, L R Ribeiro. Phys. Lett. A, 358, 336(2006).

    [11] S Banerjee, H Agren, A V Balatsky. Phys. Rev. B, 93(2016).

    [12] K Bakke, C Furtado. Phys. Rev. A, 80(2009).

    [13] K Bakke. Phys. Rev. A, 81(2010).

    [14] K Bakke, L R Ribeiro, C Furtado, J R Nascimento. Phys. Rev. D, 79(2009).

    [15] K Bakke, L R Ribeiro, C Furtado. Cent. Eur. J. Phys, 8, 893(2010).

    [16] A B Oliveira, K Bakke. Proc. R. Soc. A, 472(2016).

    [17] A B Oliveira, K Bakke. Int. J. Mod. Phys. A, 31(2016).

    [18] A B Oliveira, K Bakke. Eur. Phys. J. Plus, 131, 266(2016).

    [19] A B Oliveira, K Bakke. Ann. Phys, 365, 66(2016).

    [20] A B Oliveira, K Bakke. R. Soc. Open Sci, 4(2017).

    [21] B Basu, D Dhar, S Chatterjee. Phys. Lett. A, 372, 4319(2008).

    [22] A Lerda. Anyons, Quantum Mechanics of Particles with Fractional Statistics, Lecture Notes in Physics, 39(1992).

    [23] A Khare. Fractional Statistics and Quantum Theory, 32(2005).

    [24] P A M Dirac. The Principles of Quantum Mechanics, 144(1958).

    [25] J J Sakurai. Modern Quantum Mechanics, 157(2017).

    [26] F Wilcezk. Phys. Rev. Lett, 48, 1144(1982).

    [27] J Q Liang, X X Ding. Phys. Rev. Lett, 60, 836(1988).

    [28] T Chakraborty, P Pietiläinen. The Quantum Hall Effect, fractional and Integral, 120(1995).

    [29] F Wilczek. Fractional Statistics and Anyon Superconductivity, 65(1990).

    [30] S Deser, R Jackiw, S Templeton. Ann. Phys, 140, 372(1982).

    [31] S Zhang, T Hanson, S Kivelson. Phys. Rev. Lett, 62, 82(1989).

    [32] R Jackiw, S Y Pi. Phys. Rev. D, 44, 2524(1991).

    [33] S Forte. Rev. Mod. Phys, 64, 193(1992).

    [34] Y Zhang, G J Sreejith, N D Gemelke, J K Jain. Phys. Rev. Lett, 113(2014).

    [35] Y Zhang, G J Sreejith, J K Jain. Phys. Rev. B, 92(2015).

    [36] D Lundholm, N Rougerie. Phys. Rev. Lett, 116(2016).

    [37] J Z Zhang. Phys. Lett. B, 670, 205(2008).

    [38] F S Azevedo, E O Silva, L B Castro, C Filgueiras, D Cogollo. Ann. Phys, 362, 196(2015).

    [39] J D Jackson. Classical electrodynamics, 583(1999).

    [40] F Shimizu, K Shimizu, H Takuma. Opt. Lett, 16, 339(1991).

    [41] G V Dunne, R Jackiw, C A Trugenberger. Phys. Rev. D, 41, 661(1990).

    [42] P A M Dirac. Lecture notes on quantum mechanics, 41(1964).

    [43] L D Faddeev, R Jackiw. Phys. Rev. Lett, 60, 1691(1988).

    [44] C Baxter. Phys. Rev. Lett, 74, 514(1995).

    Tools

    Get Citation

    Copy Citation Text

    Jian Jing, Yao-Yao Ma, Qiu-Yue Zhang, Qing Wang, Shi-Hai Dong. Simulation of anyons by cold atoms with induced electric dipole moment[J]. Chinese Physics B, 2020, 29(8):

    Download Citation

    EndNote(RIS)BibTexPlain Text
    Save article for my favorites
    Paper Information

    Received: Apr. 27, 2020

    Accepted: --

    Published Online: Apr. 29, 2021

    The Author Email: Jing Jian (dongsh2@yahoo.com)

    DOI:10.1088/1674-1056/ab9737

    Topics