Abstract
We study the spatial distributions of the spin and mass currents generated by a moving Gaussian magnetic obstacle in a symmetric, two-component Bose–Einstein condensate in two dimensions. We analytically describe the current distributions for a slow obstacle and show that the spin and the mass currents exhibit characteristic spatial structures resembling those of electromagnetic fields around dipole moments. When the obstacle’s velocity increases, we numerically observe that the flow pattern maintains its overall structure while the spin polarization induced by the obstacle is enhanced with an increased spin current. We investigate the critical velocity of the magnetic obstacle based on the local criterion of Landau energetic instability and find that it decreases almost linearly as the magnitude of the obstacle’s potential increases, which can be directly tested in current experiments.
Similar content being viewed by others
References
L.D. Landau, J. Phys. USSR 5, 71 (1941)
C. Raman, M. Köhl, R. Onofrio, D.S. Durfee, C.E. Kuklewicz, Z. Hadzibabic, W. Ketterle, Phys. Rev. Lett. 83, 2502 (1999)
R. Desbuquois, L. Chomaz, T. Yefsah, J. Léonard, J. Beugnon, C. Weitenberg, J. Dalibard, Nat. Phys. 8, 645 (2012)
W. Weimer, K. Morgener, V.P. Singh, J. Siegl, K. Hueck, N. Luick, L. Mathey, H. Moritz, Phys. Rev. Lett. 114, 095301 (2015)
T. Frisch, Y. Pomeau, S. Rica, Phys. Rev. Lett. 69, 1644 (1992)
T.W. Neely, E.C. Samson, A.S. Bradley, M.J. Davis, B.P. Anderson, Phys. Rev. Lett. 104, 160401 (2010)
W.J. Kwon, G. Moon, S.W. Seo, Y. Shin, Phys. Rev. A 91, 053615 (2015)
J.W. Park, B. Ko, Y. Shin, Phys. Rev. Lett. 121, 225301 (2018)
V.P. Singh, W. Weimer, K. Morgener, J. Siegl, K. Hueck, N. Luick, H. Moritz, L. Mathey, Phys. Rev. A 93, 023634 (2016)
S.W. Seo, S. Kang, W.J. Kwon, Y. Shin, Phys. Rev. Lett. 115, 015301 (2015)
J.H. Kim, S.W. Seo, Y. Shin, Phys. Rev. Lett. 119, 185302 (2017)
E. Fava, T. Bienaimé, C. Mordini, G. Colzi, C. Qu, S. Stringari, G. Lamporesi, G. Ferrari, Phys. Rev. Lett. 120, 170401 (2018)
S.W. Seo, W.J. Kwon, S. Kang, Y. Shin, Phys. Rev. Lett. 116, 185301 (2016)
A. Farolfi, D. Trypogeorgos, C. Mordini, G. Lamporesi, G. Ferrari, Phys. Rev. Lett. 125, 030401 (2020)
X. Chai, D. Lao, K. Fujimoto, R. Hamazaki, M. Ueda, C. Raman, Phys. Rev. Lett. 125, 030402 (2020)
H. Susanto, P.G. Kevrekidis, R.C. González, B.A. Malomed, D.J. Frantzeskakis, A.R. Bishop, Phys. Rev. A 75, 055601 (2007)
Y.G. Gladush, A.M. Kamchatnov, Z. Shi, P.G. Kevrekidis, D.J. Frantzeskakis, B.A. Malomed, Phys. Rev. A 79, 033623 (2009)
A.M. Kamchatnov, Y.V. Kartashov, Phys. Rev. Lett. 111, 140402 (2013)
X.L. Li, X.-Y. Yang, N. Tang, L. Song, Z.-K. Zhou, J. Zhang, Y.-R. Shi, New J. Phys. 21, 103046 (2019)
H. Takeuchi, S. Ishino, M. Tsubota, Phys. Rev. Lett. 105, 205301 (2010)
S. Ishino, M. Tsubota, H. Takeuchi, Phys. Rev. A 83, 063602 (2011)
J.H. Kim, D. Hong, Y. Shin, Phys. Rev. A 101, 061601(R) (2020)
S. Stringari, Phys. Rev. Lett. 77, 2360 (1996)
E. Madelung, Z. Phys. 40, 322 (1927)
J. Stenger, S. Inouye, D.M. Stamper-Kurn, H.-J. Miesner, A.P. Chikkatur, W. Ketterle, Nature 396, 345 (1998)
S. Knoop, T. Schuster, R. Scelle, A. Trautmann, J. Appmeier, M.K. Oberthaler, Phys. Rev. A 83, 042704 (2011)
M. Abad, A. Recati, S. Stringari, F. Chevy, Eur. Phys. J. D 69, 126 (2015)
W.J. Kwon, S.W. Seo, Y. Shin, Phys. Rev. A 92, 033613 (2015)
K. Sasaki, N. Suzuki, H. Saito, Phys. Rev. Lett. 104, 150404 (2010)
W.J. Kwon, J.H. Kim, S.W. Seo, Y. Shin, Phys. Rev. Lett. 117, 245301 (2016)
J. Choi, W.J. Kwon, Y. Shin, Phys. Rev. Lett. 108, 035301 (2012)
Acknowledgements
We thank Joon Hyun Kim for his discussion and critical reading of the manuscript. This study was supported by the National Research Foundation of Korea (NRF-2018R1A2B3003373, NRF-2019M3E4A1080400).
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Jung, J.H., Kim, H.J. & Shin, Y. Spin and mass currents near a moving magnetic obstacle in a two-component Bose–Einstein condensate. J. Korean Phys. Soc. 78, 19–26 (2021). https://doi.org/10.1007/s40042-020-00008-8
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s40042-020-00008-8