Gap-type dark localized modes in a Bose–Einstein condensate with optical lattices

@article{Zeng2019GaptypeDL,
  title={Gap-type dark localized modes in a Bose–Einstein condensate with optical lattices},
  author={Liangwei Zeng and Jianhua Zeng},
  journal={Advanced Photonics},
  year={2019},
  volume={1},
  pages={046004 - 046004}
}
Abstract. Bose–Einstein condensate (BEC) exhibits a variety of fascinating and unexpected macroscopic phenomena, and has attracted sustained attention in recent years—particularly in the field of solitons and associated nonlinear phenomena. Meanwhile, optical lattices have emerged as a versatile toolbox for understanding the properties and controlling the dynamics of BEC, among which the realization of bright gap solitons is an iconic result. However, the dark gap solitons are still… Expand
Dark matter-wave gap solitons in dense ultracold atoms trapped by a one-dimensional optical lattice
Optical lattices have been used as a versatile toolbox to control Bose-Einstein condensates (BECs) in recent years, and a wealth of emergent nonlinear phenomena have been found, including bright gapExpand
Dark matter-wave gap solitons of Bose-Einstein condensates trapped in optical lattices with competing cubic-quintic nonlinearities
Abstract Solitons are nonlinear self-sustained wave excitations and probably among the most interesting and exciting emergent nonlinear phenomenon in the corresponding theoretical settings. BrightExpand
Two-dimensional optical gap solitons and vortices in a coherent atomic ensemble loaded on optical lattices
  • Zhiming Chen, Jianhua Zeng
  • Computer Science, Physics
  • Commun. Nonlinear Sci. Numer. Simul.
  • 2021
TLDR
Using the linear stability analysis and direct perturbed evolution, this work addresses the formation, property, and stability of 2D localized gap modes of two types, gap solitons and gap vortices, in forbidden band gaps of the underlying linear Bloch-wave spectrum. Expand
Localized gap modes of coherently trapped atoms in an optical lattice.
TLDR
A nonlinear equation governing the spatial-temporal evolution of the probe-field envelope is derived and the formation and properties of optical localized gap modes of two kinds, such as the fundamental gap solitons and dipole gap modes are uncovered. Expand
One-dimensional localized modes of spin-orbit-coupled Bose-Einstein condensates with spatially periodic modulated atom-atom interactions: Nonlinear lattices
TLDR
It is demonstrated that the localized modes can be stable objects provided always that both the inter- and intraspecies interactions are attractive, based on linear-stability analysis and direct perturbed simulations. Expand
Preventing critical collapse of higher-order solitons by tailoring unconventional optical diffraction and nonlinearities
Self-trapped modes suffer critical collapse in two-dimensional cubic systems. To overcome such a collapse, linear periodic potentials or competing nonlinearities between self-focusing cubic andExpand
Flat-floor bubbles, dark solitons, and vortices stabilized by inhomogeneous nonlinear media
Liangwei Zeng, Boris A. Malomed, 3, ∗ Dumitru Mihalache, Yi Cai, Xiaowei Lu, Qifan Zhu, and Jingzhen Li † Key Laboratory of Optoelectronic Devices and Systems of Ministry of Education and GuangdongExpand
Flat-floor Bubbles, Dark Solitons, and Vortices Stabilized by Inhomogeneous Nonlinear Media
We consider one- and two-dimensional (1D and 2D) optical or matter-wave media with a maximum of the local self-repulsion strength at the center, and a minimum at periphery. If the central area isExpand
One-dimensional quantum droplets under space-periodic nonlinear management
Abstract Quantum droplets have recently emerged as a novel liquid state of matter in a mixture of two-component ultracold Bose gases under the equilibrium condition between the competing attractiveExpand
Nonlinear topological valley Hall edge states arising from type-II Dirac cones
Abstract. A Dirac point is a linear band crossing point originally used to describe unusual transport properties of materials like graphene. In recent years, there has been a surge of exploration ofExpand
...
1
2
3
...

References

SHOWING 1-10 OF 79 REFERENCES
Dynamical instability of a dark soliton in a quasi-one-dimensional Bose-Einstein condensate perturbed by an optical lattice
The motion of a dark soliton is investigated in a one-dimensional dilute Bose–Einstein condensate confined in a harmonic trap and an optical lattice. The harmonic trap induces a dynamical instabilityExpand
The nonlinear Dirac equation in Bose-Einstein condensates: II. Relativistic soliton stability analysis
The nonlinear Dirac equation for Bose-Einstein condensates in honeycomb optical lattices gives rise to relativistic multi-component bright and dark soliton solutions. Using the relativistic linearExpand
Brownian motion of solitons in a Bose–Einstein condensate
TLDR
In this experiment, the added impurities scatter off the much larger soliton, contributing to its Brownian motion and decreasing its lifetime, and the soliton’s diffusive behavior is described using a quasi-1D scattering theory of impurity atoms interacting with a soliton. Expand
Creation and Manipulation of Stable Dark Solitons and Vortices in Microcavity Polariton Condensates.
TLDR
The present work demonstrates the existence of stable dark solitons and vortices under nonresonant incoherent excitation of a polariton condensate with a simple spatially periodic pump and shows that an additional coherent light pulse can be used to create or destroy a dark soliton in a controlled manner. Expand
MULTIDIMENSIONAL LOCALIZED STRUCTURES IN OPTICS AND BOSE-EINSTEIN CONDENSATES: A SELECTION OF RECENT STUDIES
A brief up-to-date survey of recent theoretical and experimental studies of the formation, stability and robustness of multidimensional localized structures in optics and Bose-Einstein condensate inExpand
Exciton-polariton trapping and potential landscape engineering.
TLDR
Almost free choice of the confinement strengths and trapping geometries that provide powerful means for control and manipulation of the polariton systems both in the semi-classical and quantum regimes are highlighted. Expand
Solitons in nonlinear lattices
This article offers a comprehensive survey of results obtained for solitons and complex nonlinear wave patterns supported by purely nonlinear lattices (NLs), which represent a spatially periodicExpand
Two-dimensional matter-wave solitons and vortices in competing cubic-quintic nonlinear lattices
The nonlinear lattice — a new and nonlinear class of periodic potentials — was recently introduced to generate various nonlinear localized modes. Several attempts failed to stabilize two-dimensionalExpand
Matter-wave dark solitons in boxlike traps
Motivated by the experimental development of quasi-homogeneous Bose-Einstein condensates confined in box-like traps, we study numerically the dynamics of dark solitons in such traps at zeroExpand
Stability of dark solitons in a Bose-Einstein condensate trapped in an optical lattice
We investigate the stability of dark solitons (DSs) in an effectively one-dimensional Bose-Einstein condensate in the presence of the magnetic parabolic trap and an optical lattice (OL). The analysisExpand
...
1
2
3
4
5
...