The DOI matches its Crossref record; 18 of the 18 references it cites were found in a registry or an index.
Bose-Einstein condensates in optical lattices: Band-gap structure and solitons
Open accessAbstract
We analyze the existence and stability of spatially extended (Bloch-type) and localized states of a Bose-Einstein condensate loaded into an optical lattice. In the framework of the Gross-Pitaevskii equation with a periodic potential, we study the band-gap structure of the matter-wave spectrum in both the linear and nonlinear regimes. We demonstrate the existence of families of spatially localized matter-wave gap solitons, and analyze their stability in different band gaps, for both repulsive and attractive atomic interactions.
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Cites
Handbook of Mathematical Functions
McQuarrie, D. A. (1966) · American Journal of Physics · doi:10.1119/1.1972842 · Cited by 40,433
Macroscopic Quantum Interference from Atomic Tunnel Arrays
Anderson, B. P., & Kasevich, M. A. (1998) · Science · doi:10.1126/science.282.5394.1686 · Cited by 1,289
Optical Confinement of a Bose-Einstein Condensate
Stamper-Kurn, D. M., Andrews, M. R., Chikkatur, A. P., Inouye, S., Miesner, H.-J., Stenger, J., & Ketterle, W. (1998) · Physical Review Letters · doi:10.1103/physrevlett.80.2027 · Cited by 1,066
Discrete Solitons and Breathers with Dilute Bose-Einstein Condensates
Trombettoni, A., & Smerzi, A. (2001) · Physical Review Letters · doi:10.1103/physrevlett.86.2353 · Cited by 922
Josephson Junction Arrays with Bose-Einstein Condensates
Cataliotti, F. S., Burger, S., Fort, C., Maddaloni, P., Minardi, F., Trombettoni, A., Smerzi, A., & Inguscio, M. (2001) · Science · doi:10.1126/science.1062612 · Cited by 858
Squeezed States in a Bose-Einstein Condensate
Orzel, C., Tuchman, A. K., Fenselau, M. L., Yasuda, M., & Kasevich, M. A. (2001) · Science · doi:10.1126/science.1058149 · Cited by 854
Exploring Phase Coherence in a 2D Lattice of Bose-Einstein Condensates
Greiner, M., Bloch, I., Mandel, O., Hänsch, T. W., & Esslinger, T. (2001) · Physical Review Letters · doi:10.1103/physrevlett.87.160405 · Cited by 686
All-Optical Formation of an Atomic Bose-Einstein Condensate
Barrett, M. D., Sauer, J. A., & Chapman, M. S. (2001) · Physical Review Letters · doi:10.1103/physrevlett.87.010404 · Cited by 636
Nonlinear ordinary differential equations: An introduction to dynamical systems Third Edition
Jordan, D. W., & Smith, P. (1999) · doi:10.1093/oso/9780198565635.001.0001 · Cited by 525
A Bose-Einstein condensate in an optical lattice
Denschlag, J. H., Simsarian, J. E., Häffner, H., McKenzie, C., Browaeys, A., Cho, D., Helmerson, K., Rolston, S. L., & Phillips, W. D. (2002) · Journal of Physics B: Atomic, Molecular and Optical Physics · doi:10.1088/0953-4075/35/14/307 · Cited by 370
Cited by
Lederer, F., Stegeman, G. I., Christodoulides, D. N., Assanto, G., Segev, M., & Silberberg, Y. (2008) · Physics Reports · doi:10.1016/j.physrep.2008.04.004 · Cited by 1,180
Spatial solitons in optically induced gratings
Neshev, D., Ostrovskaya, E., Kivshar, Y., & Krolikowski, W. (2003) · Optics Letters · doi:10.1364/ol.28.000710 · Cited by 349
Self-citationNonlinear waves in Bose–Einstein condensates: physical relevance and mathematical techniques
Carretero-González, R., Frantzeskakis, D. J., & Kevrekidis, P. G. (2008) · Nonlinearity · doi:10.1088/0951-7715/21/7/r01 · Cited by 339
Multidimensional solitons in periodic potentials
Baizakov, B. B., Malomed, B. A., & Salerno, M. (2003) · Europhysics Letters (EPL) · doi:10.1209/epl/i2003-00579-4 · Cited by 290
Two-Dimensional Optical Lattice Solitons
Efremidis, N. K., Hudock, J., Christodoulides, D. N., Fleischer, J. W., Cohen, O., & Segev, M. (2003) · Physical Review Letters · doi:10.1103/physrevlett.91.213906 · Cited by 254
Metadata
- Authors
- Louis, P. J. Y., Ostrovskaya, E. A., Savage, C. M., & Kivshar, Y. S.
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2003-01-09
- Volume
- 67
- Issue
- 1
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W2006583352
- Cited by
- 268
- References
- 18
- FWCI
- 16.24
- Type
- journal article
- Language
- en
- Open access
- bronze
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