Abstract
We study the dynamics of vortex dipoles in erbium (168Er) and dysprosium (164Dy) dipolar Bose-Einstein condensates (BECs) by applying an oscillating blue-detuned laser (Gaussian obstacle). For observing vortex dipoles, we solve a nonlocal Gross-Pitaevskii (GP) equation in quasi two-dimensions in real-time. We calculate the critical velocity for the nucleation of vortex dipoles in dipolar BECs with respect to dipolar interaction strengths. We also show the dynamics of the group of vortex dipoles and rarefaction pulses in dipolar BECs. In the dipolar BECs with Gaussian obstacle, we observe rarefaction pulses due to interaction of dynamically migrating vortex dipoles.
Graphical abstract
Similar content being viewed by others
References
T. Lahaye, K. Thierry, F. Tobias, F. Bernd, M. Marco, G. Jonas, G. Axel, P.A. Stefano, Nature 448, 672 (2007)
A. Griesmaier, J. Stuhler, T. Koch, M. Fattori, T. Pfau, S. Giovanazzi, Phys. Rev. Lett. 97, 250402 (2006)
M. Lu, N.Q. Burdick, S.H. Youn, B.L. Lev, Phys. Rev. Lett. 107, 190401 (2011)
S.H. Youn, M. Lu, U. Ray, B.L. Lev, Phys. Rev. A 82, 043425 (2010)
K. Aikawa, A. Frisch, M. Mark, S. Baier, A. Rietzler, R. Grimm, F. Ferlaino, Phys. Rev. Lett. 108, 210401 (2012)
L. Chomaz, S. Baier, D. Petter, M.J. Mark, F. Wächtler, L. Santos, F. Ferlaino, Phys. Rev. X 6, 041039 (2016)
T. Lahaye, C. Menotti, L. Santos, M. Lewenstein, T. Pfau, Rep. Prog. Phys. 72, 126401 (2009)
M.A. Baranov, M. Dalmonte, G. Pupillo, P. Zoller, Chem. Rev. 112, 5012 (2012)
A.L. Fetter, Rev. Mod. Phys. 81, 647 (2009)
H. Feshbach, Ann. Phys. 19, 287 (1962)
S. Giovanazzi, A. Gorlitz, T. Pfau, Phys. Rev. Lett. 89, 130401 (2002)
R.M. Wilson, S. Ronen, J.L. Bohn, Phys. Rev. Lett. 104, 094501 (2010)
C. Ticknor, R.M. Wilson, J.L. Bohn, Phys. Rev. Lett. 106, 065301 (2011)
L. Santos, G.V. Shlyapnikov, P. Zoller, M. Lewenstein, Phys. Rev. Lett. 85, 1791 (2000)
S. Yi, L. You, Phys. Rev. A 67, 045601 (2003)
S. Ronen, D.C.E. Bortolotti, J.L. Bohn, Phys. Rev. Lett. 98, 030406 (2007)
N.G. Parker, D.H.J. ODell, Phys. Rev. A 78, 041601 (2008)
O. Tieleman, A. Lazarides, C. Morais Smith, Phys. Rev. A 83, 013627 (2011)
K. Zhou, Z. Liang, Z. Zhang, Phys. Rev. A 82, 013634 (2010)
P. Pedri, L. Santos, Phys. Rev. Lett. 95, 200404 (2005)
R. Kishor Kumar, P. Muruganandam, B.A. Malomed, J. Phys. B 46, 175302 (2013)
P. Muruganandam, S.K. Adhikari, J. Phys. B 44, 121001 (2011)
B.C. Mulkerin, R.M.W. van Bijnen, D.H.J. ODell, A.M. Martin, N.G. Parker, Phys. Rev. Lett. 111, 170402 (2013)
A.M. Martin, N.G. Marchant, D.H.J. ODell, N.G. Parker, J. Phys. Cond. Matter 29, 103004 (2017)
S. Sabari, Phys. Lett. A 381, 3062 (2017)
S. Yi, H. Pu, Phys. Rev. A 73, 061602(R) (2006)
M.A. Baranov, Phys. Rep. 464, 71 (2008)
R. Kishor Kumar, P. Muruganandam, J. Phys. B 45, 215301 (2012)
E.A.L. Henn, J.A. Seman, G. Roati, K.M.F. Magalhaes, V.S. Bagnato, Phys. Rev. Lett. 103, 045301 (2009)
W.P. Halperin, M. Tsubota, in Progress in low temperature physics, edited by W.P. Halperin, M. Tsubota (Elsevier, Amsterdam, 2009), Vol. 16
R. Hänninen, M. Tsubota, W.F. Vinen, Phys. Rev. B 75, 064502 (2007)
N.G. Berloff, B.V. Svistunov, Phys. Rev. A 66, 013603 (2002)
M. Kobayashi, M. Tsubota, Phys. Rev. A 76, 045603 (2007)
K. Fujimoto, M. Tsubota, Phys. Rev. A 82, 043611 (2010)
K. Fujimoto, M. Tsubota, Phys. Rev. A 83, 053609 (2011)
B. Jackson, J.F. McCann, C.S. Adams, Phys. Rev. A 61, 051603 (2000)
C. Raman, M. Köhl, R. Onofrio, D.S. Durfee, C.E. Kuklewicz, Z. Hadzibabic, W. Ketterle, Phys. Rev. Lett. 83, 2502 (1999)
R. Onofrio, C. Raman, J.M. Vogels, J.R., Abo-Shaeer, A.P. Chikkatur, W. Ketterle, Phys. Rev. Lett. 85, 2228 (2000)
T.W. Neely, E.C. Samson, A.S. Bradley, M.J. Davis, B.P. Anderson, Phys. Rev. Lett. 104, 160401 (2010)
T.W. Neely, A.S. Bradley, E.C. Samson, S.J. Rooney, E.M. Wright, K.J.H. Law, R. Carretero-Gonzalez, P.G. Kevrekidis, M.J. Davis, B.P. Anderson, Phys. Rev. Lett. 111, 235301 (2013)
W. Jin Kwon, G. Moon, J.-Y. Choi, S. Won Seo, Y.-I. Shin, Phys. Rev. A 90, 063627 (2014)
P. Muruganandam, S.K. Adhikari, Laser Phys. 22 813 (2012)
D. Baillie P.B. Blakie, New J. Phys. 17, 033028 (2015)
U.R. Fischer, Phys. Rev. A 73, 031602 (2006)
R. Kishor Kumar, L.E. Young-S., D. Vudragović, A. Balaž, P. Muruganandam, S.K. Adhikari, Comput. Phys. Commun. 195, 117 (2015)
P. Muruganandam, S.K. Adhikari, Comput. Phys. Commun. 180, 1888 (2009)
D. Vudragović, I. Vidanović, A. Balaž, P. Muruganandam, S.K. Adhikari, Comput. Phys. Commun. 183, 2021 (2012)
V. Lončar, A. Balaž, A. Bogojević, S. Škrbić, P. Muruganandam, S.K. Adhikari, Comput. Phys. Commun. 200, 406 (2016)
W. Jin Kwon, G. Moon, S. Won Seo, Y. Shin, Phys. Rev. A 91, 053615 (2015)
M. Tsubota, K. Kasamatsu, M. Ueda, Phys. Rev. A 65, 023603 (2002)
K. Kasamatsu, M. Tsubota, M. Ueda, Phys. Rev. A 67, 033610 (2003)
Author information
Authors and Affiliations
Corresponding authors
Rights and permissions
About this article
Cite this article
Sabari, S., Kumar, R.K. Effect of an oscillating Gaussian obstacle in a dipolar Bose-Einstein condensate. Eur. Phys. J. D 72, 48 (2018). https://doi.org/10.1140/epjd/e2018-80354-2
Received:
Revised:
Published:
DOI: https://doi.org/10.1140/epjd/e2018-80354-2