The dynamics of a filled massive vortex is studied numerically and analytically using a two-dimensional model of a two-component Bose–Einstein condensate trapped in a harmonic trap. This condensate exhibits phase separation. In the framework of the coupled Gross–Pitaevskii equations, it is demonstrated that, in a certain range of parameters of the nonlinear interaction, the precession of a sufficiently massive vortex around the center is strongly slowed down and even reverses its direction with a further increase in the mass. An approximate ordinary differential equation is derived that makes it possible to explain this behavior of the system.
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REFERENCES
T.-L. Ho and V. B. Shenoy, Phys. Rev. Lett. 77, 3276 (1996).
H. Pu and N. P. Bigelow, Phys. Rev. Lett. 80, 1130 (1998).
B. P. Anderson, P. C. Haljan, C. E. Wieman, and E. A. Cornell, Phys. Rev. Lett. 85, 2857 (2000).
S. Coen and M. Haelterman, Phys. Rev. Lett. 87, 140401 (2001).
G. Modugno, M. Modugno, F. Riboli, G. Roati, and M. Inguscio, Phys. Rev. Lett. 89, 190404 (2002).
J. P. Burke, Jr., J. L. Bohn, B. D. Esry, and C. H. Greene, Phys. Rev. Lett. 80, 2097 (1998).
G. Thalhammer, G. Barontini, L. De Sarlo, J. Catani, F. Minardi, and M. Inguscio, Phys. Rev. Lett. 100, 210402 (2008).
S. B. Papp, J. M. Pino, and C. E. Wieman, Phys. Rev. Lett. 101, 040402 (2008).
S. Tojo, Y. Taguchi, Y. Masuyama, T. Hayashi, H. Saito, and T. Hirano, Phys. Rev. A 82, 033609 (2010).
C. Chin, R. Grimm, P. Julienne, and E. Tiesinga, Rev. Mod. Phys. 82, 1225 (2010).
E. Timmermans, Phys. Rev. Lett. 81, 5718 (1998).
P. Ao and S. T. Chui, Phys. Rev. A 58, 4836 (1998).
B. van Schaeybroeck, Phys. Rev. A 78, 023624 (2008).
A. A. Svidzinsky and S. T. Chui, Phys. Rev. A 68, 013612 (2003).
S. Gautam and D. Angom, J. Phys. B: At. Mol. Opt. Phys. 43, 095302 (2010).
R. W. Pattinson, T. P. Billam, S. A. Gardiner, D. J. -McCarron, H. W. Cho, S. L. Cornish, N. G. Parker, and N. P. Proukakis, Phys. Rev. A 87, 013625 (2013).
K. Suthar, A. Roy, and D. Angom, Phys. Rev. A 91, 043615 (2015).
K. Suthar and D. Angom, Phys. Rev. A 93, 063608 (2016).
K. Suthar and D. Angom, Phys. Rev. A 95, 043602 (2017).
K. Sasaki, N. Suzuki, and H. Saito, Phys. Rev. A 83, 033602 (2011).
H. Takeuchi, N. Suzuki, K. Kasamatsu, H. Saito, and M. Tsubota, Phys. Rev. B 81, 094517 (2010).
N. Suzuki, H. Takeuchi, K. Kasamatsu, M. Tsubota, and H. Saito, Phys. Rev. A 82, 063604 (2010).
K. Sasaki, N. Suzuki, D. Akamatsu, and H. Saito, Phys. Rev. A 80, 063611 (2009).
S. Gautam and D. Angom, Phys. Rev. A 81, 053616 (2010).
T. Kadokura, T. Aioi, K. Sasaki, T. Kishimoto, and H. Saito, Phys. Rev. A 85, 013602 (2012).
K. Sasaki, N. Suzuki, and H. Saito, Phys. Rev. A 83, 053606 (2011).
D. Kobyakov, V. Bychkov, E. Lundh, A. Bezett, and M. Marklund, Phys. Rev. A 86, 023614 (2012).
D. K. Maity, K. Mukherjee, S. I. Mistakidis, S. Das, P. G. Kevrekidis, S. Majumder, and P. Schmelcher, Phys. Rev. A 102, 033320 (2020).
K. Kasamatsu, M. Tsubota, and M. Ueda, Phys. Rev. Lett. 91, 150406 (2003).
K. Kasamatsu and M. Tsubota, Phys. Rev. A 79, 023606 (2009).
P. Mason and A. Aftalion, Phys. Rev. A 84, 033611 (2011).
K. Kasamatsu, M. Tsubota, and M. Ueda, Phys. Rev. Lett. 93, 250406 (2004).
H. Takeuchi, K. Kasamatsu, M. Tsubota, and M. Nitta, Phys. Rev. Lett. 109, 245301 (2012).
M. Nitta, K. Kasamatsu, M. Tsubota, and H. Takeuchi, Phys. Rev. A 85, 053639 (2012).
K. Kasamatsu, H. Takeuchi, M. Tsubota, and M. Nitta, Phys. Rev. A 88, 013620 (2013).
S. B. Gudnason and M. Nitta, Phys. Rev. D 98, 125002 (2018).
V. P. Ruban, J. Exp. Theor. Phys. 133, 779 (2021).
V. P. Ruban, JETP Lett. 113, 814 (2021).
K. J. H. Law, P. G. Kevrekidis, and L. S. Tuckerman, Phys. Rev. Lett. 105, 160405 (2010);
Phys. Rev. Lett. 106, 199903(E) (2011).
M. Pola, J. Stockhofe, P. Schmelcher, and P. G. Kevrekidis, Phys. Rev. A 86, 053601 (2012).
S. Hayashi, M. Tsubota, and H. Takeuchi, Phys. Rev. A 87, 063628 (2013).
A. Richaud, V. Penna, R. Mayol, and M. Guilleumas, Phys. Rev. A 101, 013630 (2020).
A. Richaud, V. Penna, and A. L. Fetter, Phys. Rev. A 103, 023311 (2021).
V. P. Ruban, JETP Lett. 113, 532 (2021).
V. P. Ruban, W. Wang, C. Ticknor, and P. G. Kevrekidis, Phys. Rev. A 105, 013319 (2022).
M. M. Salomaa and G. E. Volovik, Rev. Mod. Phys. 59, 533 (1987).
G. E. Volovik and T. Sh. Misirpashaev, JETP Lett. 51, 537 (1990).
A. F. Andreev and E. P. Bashkin, Sov. Phys. JETP 42, 164 (1976).
G. E. Volovik, JETP Lett. 115, 276 (2022).
V. P. Ruban, JETP Lett. 108, 605 (2018).
V. P. Ruban, J. Exp. Theor. Phys. 124, 932 (2017).
V. P. Ruban, JETP Lett. 105, 458 (2017).
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Ruban, V.P. Direct and Reverse Precession of a Massive Vortex in a Binary Bose–Einstein Condensate. Jetp Lett. 115, 415–421 (2022). https://doi.org/10.1134/S0021364022100290
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DOI: https://doi.org/10.1134/S0021364022100290