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We study a spinor (two-component) Bose gas confined in a one-dimensional double-valley optical lattice which has a double-well structure in momentum space. Based on field theory analysis, it is found that spinor bosons in the double-valley…

Quantum Gases · Physics 2017-12-15 Ying-Hai Wu , Xiaopeng Li , S. Das Sarma

A weakly interacting, spin-orbit coupled, two-component, ultracold Bose gas bound to a Bravais lattice is studied. Motivated by recent experimental advances in the field of synthetically spin-orbit coupled, ultracold, neutral atomic gases…

Quantum Gases · Physics 2020-11-24 Kristian Mæland

We point out the possibility of having a roton-type excitation spectrum in a quasi-1D Bose-Einstein condensate with dipole-dipole interactions. Normally such a system is quite unstable due to the attractive portion of the dipolar…

Other Condensed Matter · Physics 2007-05-23 Stefano Giovanazzi , Duncan H J O'Dell

We study localized traveling waves and chaotic states in strongly nonlinear one-dimensional Hamiltonian lattices. We show that the solitary waves are super-exponentially localized, and present an accurate numerical method allowing to find…

Pattern Formation and Solitons · Physics 2009-11-13 Karsten Ahnert , Arkady Pikovsky

We study the stability, form and interaction of single and multiple dark solitons in quasi-one-dimensional dipolar Bose-Einstein condensates. The solitons are found numerically as stationary solutions in the moving frame of a non-local…

Quantum Gases · Physics 2016-06-28 M. J. Edmonds , T. Bland , D. H. J. O'Dell , N. G. Parker

Due to their remarkable properties, systems that exhibit self-organization of their components resulting from intrinsic microscopic activity have been extensively studied in the last two decades. In a generic class of active matter, the…

Statistical Mechanics · Physics 2019-07-24 Ramin Golestanian

The cubic nonlinear Schrodinger equation with a lattice potential is used to model a periodic dilute gas Bose-Einstein condensate. Both two- and three-dimensional condensates are considered, for atomic species with either repulsive or…

Condensed Matter · Physics 2007-05-23 Bernard Deconinck , Bela A. Frigyik , J. Nathan Kutz

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…

Condensed Matter · Physics 2009-11-07 Pearl J. Y. Louis , Elena A. Ostrovskaya , Craig M. Savage , Yuri S. Kivshar

We study fundamental and compound gap solitons (GSs) of matter waves in one-dimensional (1D) optical lattices (OLs) in a three-dimensional (3D) weak-radial-confinement regime, which corresponds to realistic experimental conditions in…

Quantum Gases · Physics 2019-06-05 A. Muñoz Mateo , V. Delgado , Boris A. Malomed

We present a comprehensive study of modulational instability (MI) in a binary Bose-Einstein condensate with spin-orbit coupling, confined to a deep optical lattice. The system is modeled by a set of discrete Gross-Pitaevskii equations.…

Quantum Gases · Physics 2025-09-19 R. Sasireka , S. Sabari , A. Uthayakumar , Lauro Tomio

We report the coexistence and properties of stable compact localized states (CLSs) and discrete solitons (DSs) for nonlinear spinor waves on a flatband network with spin-orbit coupling (SOC). The system can be implemented by means of a…

Pattern Formation and Solitons · Physics 2016-11-23 G. Gligorić , A. Maluckov , Lj. Hadžievski , S. Flach , B. Malomed

We consider a two-dimensional nonlinear Schr{\"o}dinger equation proposed in Physics to model rotational binary Bose-Einstein condensates. The nonlinearity is a logarithmic modification of the usual cubic nonlinearity. The presence of both…

Analysis of PDEs · Mathematics 2023-12-04 Rémi Carles , Van Duong Dinh , Hichem Hajaiej

We study the interaction of a Bose-Einstein condensate in an optical lattice with additional electromagnetic fields under Raman resonance condition. System of evolution equations describing ultra-short optical pulse propagation and…

Pattern Formation and Solitons · Physics 2009-11-10 A. I. Maimistov , E. V. Kazantseva

We study matter wave bistability in a spin-1 Bose-Einstein condensate dispersively coupled to a unidirectional ring cavity. A unique feature is that the population exchange among different modes of matter fields are accomplished via the…

Quantum Gases · Physics 2015-05-14 Lu Zhou , Han Pu , Hong Y. Ling , Weiping Zhang

A Bose-Einstein condensate is dispersively coupled to a single mode of an ultra-high finesse optical cavity. The system is governed by strong interactions between the atomic motion and the light field even at the level of single quanta.…

We investigate particle emission from a Bose-Einstein condensate with periodically modulated interactions in a one-dimensional lattice. Within perturbative analysis, which leads to instabilities for discrete modes, we obtain the main…

Quantum Gases · Physics 2024-04-10 L. Q. Lai , Z. Li , Q. H. Liu , Y. B. Yu

The dynamical behavior of matter wave solitons of two-component Bose-Einstein condensates (BEC) in combined linear and nonlinear optical lattices (OLs) is investigated. In particular, the dependence of the frequency of the oscillating…

Quantum Gases · Physics 2015-06-04 Golam Ali Sekh , Mario Salerno , Aparna Saha , Benoy Talukdar

We study the stability of a quasi-one-dimensional dipolar Bose-Einstein condensate (dBEC) that is perturbed by a weak lattice potential along its axis. Our numerical simulations demonstrate that systems exhibiting a roton-maxon structure…

Quantum Gases · Physics 2015-06-12 John P. Corson , Ryan M. Wilson , John L. Bohn

The exact macroscopic wave functions of two-species Bose-Einstein condensates in an optical lattice beyond the tight-binding approximation are studied by solving the coupled nonlinear Schrodinger equations. The phase diagram for superfluid…

Soft Condensed Matter · Physics 2009-11-11 G. -P. Zheng , J. -Q. Liang , W. M. Liu

Important information for the roton-maxon spectrum of a flattened dipolar Bose-Einstein condensate is extracted by applying a static perturbation exhibiting a periodic in-plane modulation. By solving the Gross-Pitaevskii equation in the…

Quantum Gases · Physics 2019-07-19 R. N. Bisset , P. B. Blakie , S. Stringari