Effect of Dipolar Interaction on Information Entropy in Precession Bose-Einstein Condensates
Tóm tắt
In this paper, we study the formation of Shannon information entropy in a two axes rotating precessing Bose-Einstein condensates subject to dipole-dipole interactions. Our results show that how the Shannon information entropy depends on the second rotational frequency Ωx and dipole strength gd. With the increasing of gd, the position component Sr increases and momentum component Sk decreases at the same Ωx. Furthermore, we find that Landsberg’s order parameter η monotonically decreases with increasing Ωx and η increases with increasing gd at the same Ωx. Finally, we find that the increasing of dipole strength has no effect on the dynamic formation process of information entropy.
Tài liệu tham khảo
Tsubota, M., Kasamatsu, K., Kobayashi, M.: Quantized Vortices in Superfluid Helium and Atomic Bose-Einstein Condensates. Oxford University Press, Oxford (2013)
Fetter, A.L.: Rev. Mod. Phys. 81, 647 (2009)
Engels, P., Coddington, I., Haljan, P.C., Cornell, E.A.: Phys. Rev. Lett. 89, 100403 (2002)
Coddington, I., Engels, P., Schweikhard, V., Cornell, E.A.: Phys. Rev. Lett. 91, 100402 (2003)
Smith, N.L., Heathcote, W.H., Krueger, J.M., Foot, C.J.: Phys. Rev. Lett. 93, 080406 (2004)
Schweikhard, V., Coddington, I., Engels, P., Tung, S., Cornell, E.A.: Phys. Rev. Lett. 93, 210403 (2004)
Tung, S., Schweikhard, V., Cornell, E.A.: Phys. Rev. Lett. 97, 240402 (2006)
Anderson, B.P., Haljan, P.C., Regal, C.A., Feder, D.L., Collins, L.A., Clark, C.W., Cornell, E.A.: Phys. Rev. Lett. 86, 2926 (2001)
Dutton, Z., Budde, M., Slowe, C., Hau, L.V.: Science 293, 663 (2001)
Ku, M.J.H., Mukherjee, B., Yefsah, T., Zwierlein, M.W.: Phys. Rev. Lett. 116, 045304 (2016)
Yi, S., Pu, H.: Phys. Rev. A 73(R), 061602 (2006)
Wen, L.H., Xiong, H.W., Wu, B.: Phys. Rev. A 82, 053627 (2010)
Mithun, T., Porsezian, K., Dey, B.: Phys. Rev. A 89, 053625 (2014)
Tsubota, M., Kasamatsu, K., Ueda, M.: Phys. Rev. A 65, 023603 (2002)
Matthews, M.R., Anderson, B.P., Haljan, P.C., Hall, D.S., Wieman, C.E., Cornell, E. A.: Phys. Rev. Lett. 83, 2498 (1999)
Madison, K.W., Chevy, F., Wohlleben, W., Dalibard, J.: Phys. Rev. Lett. 84, 806 (2001)
Lin, Y.J., Compton, R.L., Perry, A.R., Phillips, W.D., Porto, J.V., Spielman, I.B.: Phys. Rev. Lett. 102, 130401 (2009)
Lin, Y.J., Compton, R.L., Jiménez-García, K., Porto, J.V., Spielman, I. B.: Nature 462, 628 (2009)
Price, R.M., Trypogeorgos, D., Campbell, D.L., Putra, A., Valdés-Curiel, A., Spielman, I.B.: New. J. Phys. 18, 113009 (2016)
Driben, R., Konotop, V.V., Meier1, T.: Sci. Rep. 6, 22758 (2016)
Kevrekidis, P.G., Wang, W.L., Carretero-González, R., Frantzeskakis, D.J., Xie, S. Q.: Phys. Rev. A 96, 043612 (2017)
Fukushima, S., Tsubota, M., Low, J.: Temp. Phys. 158, 370 (2010)
Bialynicki-Birula, I., Mycielski, J.: Commun. Math. Phys. 44, 129 (1975)
Gadre, S.R.: Phys. Rev. A 30, 620 (1984)
Ohya, M., Petz, P.: Quantum Entropy and its Use. Springer, Berlin (1993)
Sokolov, V.V., Brown, B.A., Zelevinsky, V.: Phys. Rev. E 58, 56 (1998)
Nagy, A., Parr, R.G.: Int. J. Quantum Chem. 58, 323 (1996)
Panos, C.P., Massen, S.E.: Int. J. Mod. Phys. E 6, 497 (1997)
Zelevinsky, V., Horoi, M., Brown, B.A.: Phys. Lett. B 350, 141 (1995)
Zhao, Q., Zhang, L.L., Rui, Z.: Int. J. Theor. Phys. 57, 2921 (2018)
Zhao, Q., Gu, Q.: Chin. Phys. B 25, 016702 (2016)
Massen, S.E., Moustakidis, Ch. C., Panos, C.P.: Phys. Lett. A 299, 131–136 (2002)
Sriraman, T., Chakrabarti, B., Trombettoni, A., Muruganandam, P.: . J. Chem. Phys. 147, 044304 (2017)
Bao, W., Wang, H.Q., Markowich, P.A.: Comm. Math. Sci. 3, 57 (2005)
Bao, W.Z., Cai, Y.Y., Wang, H.Q.: J. Comput. Phys. 229, 7874 (2010)
Gadre, S.R., Bendale, R.D.: Phys. Rev. A 36, 1932 (1987)
Landsberg, P.T.: Phys. Lett A 102, 171 (1984)
Zhao, Q.: J. Low Temp. Phys. 182, 117 (2016)
Kishor Kumar, R., Chakrabarti, B., Gammal, A.: J. Low Temp. Phys. 194, 14 (2019)
Bao, W., Wang, H.Q.: J. Comput. Phys. 217, 612 (2006)