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We analyze nonlinear collective effects in periodic systems with multi-gap transmission spectra such as light in waveguide arrays or Bose-Einstein condensates in optical lattices. We demonstrate that the inter-band interactions in nonlinear…

Pattern Formation and Solitons · Physics 2007-05-23 Andrey A. Sukhorukov , Yuri S. Kivshar

Using the variational approximation and numerical simulations, we study one-dimensional gap solitons in a binary Bose-Einstein condensate trapped in an optical-lattice potential. We consider the case of inter-species repulsion, while the…

Other Condensed Matter · Physics 2009-11-13 Sadhan K. Adhikari , Boris A. Malomed

We study the pumping of matter-wave solitons formed in Bose-Einstein condensates (BECs) with attractive atomic interactions that are loaded into optical superlattices in which one of the lattices is moving with respect to the other. We find…

Quantum Physics · Physics 2024-01-18 Xiaoxiao Hu , Zhiqiang Li , Ai-Xi Chen , Xiaobing Luo

Two-component Bose-Einstein condensates in the miscible phase can support polarization solitary waves, known as magnetic solitons. By calculating the interaction potential between two magnetic solitons, we elucidate the mechanisms and…

Quantum Gases · Physics 2025-11-21 R. M. V. Röhrs , Chunlei Qu , R. N. Bisset

It has been established for some time that high-power pump can trap a probe beam of lower intensity that is simultaneously propagating in a Kerr-type optical medium, inducing a focusing of the probe with the emergence of modes displaying…

Optics · Physics 2011-02-22 Alain M. Dikande

We investigate the correlation properties in the steady state of driven-dissipative interacting bosonic systems in the quantum regime, as for example non-linear photonic cavities. Specifically, we consider the Bose-Hubbard model on a…

Quantum Gases · Physics 2025-03-18 Martina Zündel , Leonardo Mazza , Léonie Canet , Anna Minguzzi

Binding of particles through weak (non-covalent) interactions plays a central role in multiple modern disciplines, from Cooper pairing of electrons in superconductivity to formation of supramolecules in biochemistry. Optical solitons, which…

Optics · Physics 2018-08-03 W. He , M. Pang , D. H. Yeh , J. Huang , C. R. Menyuk , P. St. J. Russell

We address the interactions between optical solitons in the system with longitudinally varying nonlocality degree and nonlinearity strength. We consider a physical model describing light propagation in nematic liquid crystals featuring a…

Pattern Formation and Solitons · Physics 2009-11-13 Fangwei Ye , Yaroslav V. Kartashov , Lluis Torner

Mean-field dynamics of strongly interacting bosons described by hard core bosons with nearest-neighbor attraction has been shown to support two species of solitons: one of Gross-Pitaevskii (GP-type) where the condensate fraction remains…

We investigate steady-state properties of a two-dimensional incoherent-pumped dissipative Bose-Hubbard model, which describes a photon square lattice. This incoherent pumping exhibits an important environment-induced higher-order…

Quantum Physics · Physics 2016-09-15 Yuanwei Zhang , Jingtao Fan , Gang Chen , Wu-Ming Liu

We examine the dynamics of a dissipative photonic Josephson junction formed by the weak coupling of an optical soliton in a nonlinear dielectric waveguide and a co-propagating surface plasmon along a parallel metal surface with a linear…

Optics · Physics 2013-03-14 Yasa Ekşioğlu , Özgür E. Müstecaplıoğlu , Kaan Güven

We investigate the multistability of exciton-polariton condensates excited by a nonresonant pump. An increase in pumping power moves the system away from non-Hermitian spectral degeneracy towards spectrum splitting through an exceptional…

Quantum Gases · Physics 2020-07-20 Zi-Fa Yu , Ju-Kui Xue , Lin Zhuang , Jinkui Zhao , Wu-Ming Liu

The interaction between two parallel beams in one-dimensional discrete saturable systems has been investigated using lithium niobate nonlinear waveguide arrays. When the beams are separated by one channel and in-phase it is possible to…

An interplay of optical lattices and nonlinear impurities in controlling the dynamics of Bose-Einstein condensate bright solitons is investigated using effective potential approach. The ability of pushing the solitons into or away from the…

Quantum Gases · Physics 2015-05-30 Golam Ali Sekh

The system of a transversely pumped Bose-Einstein condensate (BEC) coupled to a lossy ring cavity can favor a supersolid steady state. Here we find the existence of supersolid gap soliton in such a driven-dissipative system. By numerically…

Quantum Gases · Physics 2022-06-09 Jieli Qin , Lu Zhou

Nonlinear wave propagation plays a crucial role in the functioning of many physical and biophysical systems. In the propagation regime, disturbances due to the presence of local external perturbations, such as localised defects or boundary…

Pattern Formation and Solitons · Physics 2018-11-20 Juan F. Marín

A novel phenomenon is discovered that the short-range interaction between strongly nonlocal spatial solitons depends sinusoidally on their phase difference. The two neighbouring solitons at close proximate can be inter-trapped via the…

Optics · Physics 2011-02-28 Wei Hu , Shigen Ouyang , Pingbao Yang , Qi Guo

We establish a close analogy between the thermodynamics of the nonlinear systems far from equilibrium and the dissipative solitons. Unlike the solitons in the Hamiltonian systems, their dissipative counterpart looks like an aggregation of…

Pattern Formation and Solitons · Physics 2025-01-22 Vladimir L. Kalashnikov , Alexander Rudenkov , Irina T. Sorokina

Semiconductor microcavities, in which strong coupling of excitons to confined photon modes leads to the formation of exciton-polariton modes, have increasingly become a focus for the study of spontaneous coherence, lasing, and condensation…

Strongly Correlated Electrons · Physics 2007-05-23 J. Keeling , F. M. Marchetti , M. H. Szymanska , P. B. Littlewood

Soliton gases represent large random soliton ensembles in physical systems that display integrable dynamics at the leading order. We report hydrodynamic experiments in which we investigate the interaction between two "beams" or "jets" of…