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.
This is a preview of subscription content, access via your institution.
Buy single article
Instant access to the full article PDF.
Tax calculation will be finalised during checkout.
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)
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).
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
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
- Bose–Einstein condensate
- Binary superfluid