Stable Periodic Density Waves in Dipolar Bose-Einstein Condensates Trapped in Optical Lattices
Апстракт
Density-wave patterns in discrete media with local interactions are known to be unstable. We demonstrate that stable double-and triple-period patterns (DPPs and TPPs), with respect to the period of the underlying lattice, exist in media with nonlocal nonlinearity. This is shown in detail for dipolar Bose-Einstein condensates, loaded into a deep one-dimensional optical lattice. The DPP and TPP emerge via phase transitions of the second and first kind, respectively. The emerging patterns may be stable if the dipole-dipole interactions are repulsive and sufficiently strong, in comparison with the local repulsive nonlinearity. Within the set of the considered states, the TPPs realize a minimum of the free energy. Avast stability region for the TPPs is found in the parameter space, while the DPP stability region is relatively narrow. The same mechanism may create stable density-wave patterns in other physical media featuring nonlocal interactions.
Извор:
Physical Review Letters, 2012, 108, 14Финансирање / пројекти:
- Фотоника микро и нано структурних материјала (RS-MESTD-Integrated and Interdisciplinary Research (IIR or III)-45010)
- German-Israel Foundation [I-1024-2.7/2009]
DOI: 10.1103/PhysRevLett.108.140402
ISSN: 0031-9007
PubMed: 22540773
WoS: 000302293500002
Scopus: 2-s2.0-84859565389
Колекције
Институција/група
VinčaTY - JOUR AU - Maluckov, Aleksandra AU - Gligorić, Goran AU - Hadžievski, Ljupčo AU - Malomed, Boris A. AU - Pfau, Tilman PY - 2012 UR - https://vinar.vin.bg.ac.rs/handle/123456789/4357 AB - Density-wave patterns in discrete media with local interactions are known to be unstable. We demonstrate that stable double-and triple-period patterns (DPPs and TPPs), with respect to the period of the underlying lattice, exist in media with nonlocal nonlinearity. This is shown in detail for dipolar Bose-Einstein condensates, loaded into a deep one-dimensional optical lattice. The DPP and TPP emerge via phase transitions of the second and first kind, respectively. The emerging patterns may be stable if the dipole-dipole interactions are repulsive and sufficiently strong, in comparison with the local repulsive nonlinearity. Within the set of the considered states, the TPPs realize a minimum of the free energy. Avast stability region for the TPPs is found in the parameter space, while the DPP stability region is relatively narrow. The same mechanism may create stable density-wave patterns in other physical media featuring nonlocal interactions. T2 - Physical Review Letters T1 - Stable Periodic Density Waves in Dipolar Bose-Einstein Condensates Trapped in Optical Lattices VL - 108 IS - 14 DO - 10.1103/PhysRevLett.108.140402 ER -
@article{ author = "Maluckov, Aleksandra and Gligorić, Goran and Hadžievski, Ljupčo and Malomed, Boris A. and Pfau, Tilman", year = "2012", abstract = "Density-wave patterns in discrete media with local interactions are known to be unstable. We demonstrate that stable double-and triple-period patterns (DPPs and TPPs), with respect to the period of the underlying lattice, exist in media with nonlocal nonlinearity. This is shown in detail for dipolar Bose-Einstein condensates, loaded into a deep one-dimensional optical lattice. The DPP and TPP emerge via phase transitions of the second and first kind, respectively. The emerging patterns may be stable if the dipole-dipole interactions are repulsive and sufficiently strong, in comparison with the local repulsive nonlinearity. Within the set of the considered states, the TPPs realize a minimum of the free energy. Avast stability region for the TPPs is found in the parameter space, while the DPP stability region is relatively narrow. The same mechanism may create stable density-wave patterns in other physical media featuring nonlocal interactions.", journal = "Physical Review Letters", title = "Stable Periodic Density Waves in Dipolar Bose-Einstein Condensates Trapped in Optical Lattices", volume = "108", number = "14", doi = "10.1103/PhysRevLett.108.140402" }
Maluckov, A., Gligorić, G., Hadžievski, L., Malomed, B. A.,& Pfau, T.. (2012). Stable Periodic Density Waves in Dipolar Bose-Einstein Condensates Trapped in Optical Lattices. in Physical Review Letters, 108(14). https://doi.org/10.1103/PhysRevLett.108.140402
Maluckov A, Gligorić G, Hadžievski L, Malomed BA, Pfau T. Stable Periodic Density Waves in Dipolar Bose-Einstein Condensates Trapped in Optical Lattices. in Physical Review Letters. 2012;108(14). doi:10.1103/PhysRevLett.108.140402 .
Maluckov, Aleksandra, Gligorić, Goran, Hadžievski, Ljupčo, Malomed, Boris A., Pfau, Tilman, "Stable Periodic Density Waves in Dipolar Bose-Einstein Condensates Trapped in Optical Lattices" in Physical Review Letters, 108, no. 14 (2012), https://doi.org/10.1103/PhysRevLett.108.140402 . .