Equilibrium vortex lattices of a binary rotating atomic Bose-Einstein condensate with unequal atomic masses. (English) Zbl 1380.81501
Summary: We perform a detailed numerical study of the equilibrium ground-state structures of a binary rotating Bose-Einstein condensate with unequal atomic masses. Our results show that the ground-state distribution and its related vortex configurations are complex events that differ markedly depending strongly on the strength of rotation frequency, as well as on the ratio of atomic masses. We also discuss the structures and radii of the clouds, the number and the size of the core region of the vortices, as a function of the rotation frequency, and of the ratio of atomic masses, and the analytical results agree well with our numerical simulations. This work may open an alternate way in the quantum control of the binary rotating quantum gases with unequal atomic masses.
MSC:
| 81V70 | Many-body theory; quantum Hall effect |
| 82B80 | Numerical methods in equilibrium statistical mechanics (MSC2010) |
| 35Q40 | PDEs in connection with quantum mechanics |
| 65Z05 | Applications to the sciences |
References:
| [1] | Chester, G. V.; Metz, R.; Reatto, L., Phys. Rev., 175, 275-285 (1968) |
| [2] | Packard, R. E.; Sanders, T. M., Phys. Rev. A, 6, 799-807 (1972) |
| [3] | Lundh, E.; Pethick, C. J.; Smith, H., Phys. Rev. A, 55, 2126-2131 (1997) |
| [4] | Dum, R.; Cirac, J. I.; Lewenstein, M.; Zoller, P., Phys. Rev. Lett., 80, 2972-2975 (1998) |
| [5] | Matthews, M. R.; Anderson, B. P.; Haljan, P. C.; Hall, D. S.; Wieman, C. E.; Cornell, E. A., Phys. Rev. Lett., 83, 2498-2501 (1999) |
| [6] | Williams, J. E.; Holland, M. J., Nature, 401, 568-572 (1999) |
| [7] | Stringari, S., Phys. Rev. Lett., 82, 4371-4375 (1999) |
| [8] | Abo-Shaeer, J. R.; Raman, C.; Vogels, J. M.; Ketterle, W., Science, 292, 476-479 (2001) |
| [9] | Leanhardt, A. E.; Shin, Y.; Kielpinski, D.; Pritchard, D. E.; Ketterle, W., Phys. Rev. Lett., 90, Article 140403 pp. (2003) |
| [10] | Zhang, X. F.; Dong, R. F.; Liu, T.; Liu, W. M.; Zhang, S. G., Phys. Rev. A, 86, Article 063628 pp. (2012) |
| [11] | Lovegrove, J.; Borgh, M. O.; Ruostekoski, J., Phys. Rev. Lett., 112, Article 075301 pp. (2014) |
| [12] | Madison, K. W.; Chevy, F.; Wohlleben, W.; Dalibard, J., Phys. Rev. Lett., 84, 806-809 (2000) |
| [13] | Ueda, M., Fundamentals and New Frontiers of Bose-Einstein Condensation (2010), World Scientific: World Scientific Singapore · Zbl 1213.81009 |
| [14] | Fetter, A. L., Rev. Modern Phys., 81, 647-691 (2009) |
| [15] | Kuopanportti, P.; Huhtamäki, J. A.M.; Möttönen, M., Phys. Rev. A, 85, Article 043613 pp. (2012) |
| [16] | Ferrari, G.; Inguscio, M.; Jastrzebski, W.; Modugno, G.; Roati, G.; Simoni, A., Phys. Rev. Lett., 89, Article 053202 pp. (2002) |
| [17] | Modugno, G.; Modugno, M.; Riboli, F.; Roati, G.; Inguscio, M., Phys. Rev. Lett., 89, Article 190404 pp. (2002) |
| [18] | Thalhammer, G.; Barontini, G.; De Sarlo, L.; Catani, J.; Minardi, F.; Inguscio, M., Phys. Rev. Lett., 100, Article 210402 pp. (2008) |
| [19] | Catani, J.; Barontini, G.; Lamporesi, G.; Rabatti, F.; Thalhammer, G.; Minardi, F.; Stringari, S.; Inguscio, M., Phys. Rev. Lett., 103, Article 140401 pp. (2009) |
| [20] | Lercher, A. D.; Takekoshi, T.; Debatin, M.; Schuster, B.; Rameshan, R.; Ferlaino, F.; Grimm, R.; Nägerl, H. C., Eur. Phys. J. D, 65, 3 (2011) |
| [21] | McCarron, D. J.; Cho, H. W.; Jenkin, D. L.; Köppinger, M. P.; Cornish, S. L., Phys. Rev. A, 84, Article 011603 pp. (2011) |
| [22] | Pasquiou, B.; Bayerle, A.; Tzanova, S. M.; Stellmer, S.; Szczepkowski, J.; Parigger, M.; Grimm, R.; Schreck, F., Phys. Rev. A, 88, Article 023601 pp. (2013) |
| [23] | Papp, S. B.; Pino, J. M.; Wieman, C. E., Phys. Rev. Lett., 101, Article 040402 pp. (2008) |
| [24] | Sugawa, S.; Yamazaki, R.; Taie, S.; Takahashi, Y., Phys. Rev. A, 84, Article 011610 pp. (2011) |
| [25] | Myatt, C. J.; Burt, E. A.; Ghrist, R. W.; Cornell, E. A.; Wieman, C. E., Phys. Rev. Lett., 78, 586-589 (1997) |
| [26] | Hall, D. S.; Matthews, M. R.; Ensher, J. R.; Wieman, C. E.; Cornell, E. A., Phys. Rev. Lett., 81, 1539-1542 (1998) |
| [27] | Delannoy, G.; Murdoch, S. G.; Boyer, V.; Josse, V.; Bouyer, P.; Aspect, A., Phys. Rev. A, 63, Article 051602 pp. (2001) |
| [28] | Schweikhard, V.; Coddington, I.; Engels, P.; Tung, S.; Cornell, E. A., Phys. Rev. Lett., 93, Article 210403 pp. (2004) |
| [29] | Kasamatsu, K.; Tsubota, M.; Ueda, M., Internat. J. Modern Phys. B, 19, 1835-1904 (2005) · Zbl 1067.82005 |
| [30] | Anderson, R. P.; Ticknor, C.; Sidorov, A. I.; Hall, B. V., Phys. Rev. A, 80, Article 023603 pp. (2009) |
| [31] | Zhang, X. F.; Du, Z. J.; Tan, R. B.; Dong, R. F.; Chang, H.; Zhang, S. G., Ann. Phys., 346, 154-163 (2014) |
| [32] | Mueller, E. J.; Ho, T. L., Phys. Rev. Lett., 88, Article 180403 pp. (2002) |
| [33] | Kasamatsu, K.; Tsubota, M.; Ueda, M., Phys. Rev. Lett., 93, Article 250406 pp. (2004) |
| [34] | Yang, S. J.; Wu, Q. S.; Zhang, S. N.; Feng, S., Phys. Rev. A, 77, Article 033621 pp. (2008) |
| [35] | Kasamatsu, K.; Tsubota, M., Phys. Rev. A, 79, Article 023606 pp. (2009) |
| [36] | Esry, B. D.; Greene, C. H.; Burke, J. P.; Bohn, J. L., Phys. Rev. Lett., 78, 3594-3597 (1997) |
| [37] | Ejnisman, R.; Pu, H.; Young, Y. E.; Bigelow, N. P., Opt. Express, 2, 330-337 (1998) |
| [38] | Pu, H.; Bigelow, N. P., Phys. Rev. Lett., 80, 1130-1133 (1998) |
| [39] | Liu, X.; Pu, H.; Xiong, B.; Liu, W. M.; Gong, J., Phys. Rev. A, 79, Article 013423 pp. (2009) |
| [40] | Bedaque, P. F.; Berkowitz, E.; Sen, S., J. Phys. B, 45, Article 225301 pp. (2012) |
| [41] | Alonso-Izquierdo, A.; Fuertes, W. G.; Guilarte, J. M., J.H.E. Phys., 1502, 139 (2015) |
| [42] | Kuopanportti, P.; Orlova, N. V.; Milošević, M. V., Phys. Rev. A, 91, Article 043605 pp. (2015) |
| [43] | Peréz-García, V. M.; Michinel, H.; Cirac, J. I.; Lewenstein, M.; Zoller, P., Phys. Rev. Lett., 77, 5320-5323 (1996) |
| [44] | Bao, W.; Tang, W., J. Comput. Phys., 187, 230-254 (2003) · Zbl 1028.82500 |
| [45] | Holland, M. J.; Jin, D. S.; Chiofalo, M. L.; Cooper, J., Phys. Rev. Lett., 78, 3801-3805 (1997) |
| [46] | Dalfovo, F.; Stringari, S., Phys. Rev. A, 53, 2477-2485 (1996) |
| [47] | Dalfovo, F.; Giorgini, S.; Pitaevskii, L. P.; Stringari, S., Rev. Modern Phys., 71, 463-512 (1999) |
| [48] | Pitaevskii, L. P.; Stringari, S., Bose-Einstein Condensation (2003), Clarendon Press: Clarendon Press Oxford, UK · Zbl 1110.82002 |
| [49] | Bao, W.; Wang, H.; Markowich, P. A., Commun. Math. Sci., 3, 57-88 (2005) · Zbl 1073.82004 |
| [50] | Zhang, X. F.; Hu, X. H.; Liu, X. X.; Liu, W. M., Phys. Rev. A, 79, Article 033630 pp. (2009) |
| [51] | Mithun, T.; Porsezian, K.; Dey, B., Phys. Rev. E, 88, Article 012904 pp. (2013) |
| [52] | Antoine, X.; Bao, W.; Besse, C., Comput. Phys. Comm., 184, 2621-2633 (2013) · Zbl 1344.35130 |
| [53] | Antoine, X.; Duboscq, R., Comput. Phys. Comm., 185, 2969-2991 (2014) · Zbl 1348.35003 |
| [54] | Fischer, U. R.; Baym, G., Phys. Rev. Lett., 90, Article 140402 pp. (2003) |
| [55] | Cohen-Tannoudji, C.; Guéry-Odelin, D., Advances in Atomic Physics (2011), Mainland Press: Mainland Press Singapore · Zbl 1253.81002 |
| [56] | Pethick, C. J.; Smith, H., Bose-Einstein Condensation in Dilute Gases (2002), Cambridge University Press: Cambridge University Press Cambridge, UK · Zbl 1031.01006 |
| [57] | Baym, G.; Pethick, C. J., Phys. Rev. Lett., 76, 6-9 (1996) |
| [58] | Barnett, R.; Refael, G.; Porter, M. A.; Büchler, H. P., New J. Phys., 10, Article 043030 pp. (2008) |
| [59] | Barnett, R.; Chen, E.; Refael, G., New J. Phys., 12, Article 043004 pp. (2010) |
| [60] | Campbell, L. J.; Ziff, R. M., Phys. Rev. B, 20, 1886-1902 (1979) |
| [61] | Yarmchuk, E. J.; Gordon, M. J.V., Phys. Rev. Lett., 43, 214-217 (1979) |
| [62] | Coddington, I.; Haljan, P. C.; Engels, P.; Schweikhard, V.; Tung, S.; Cornell, E. A., Phys. Rev. A, 70, 705 (2004) |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
