Matter-wave exact periodic solutions in optical lattices with periodic potential

2013 ◽  
Author(s):  
Changfu Liu ◽  
Aijun Zhu
Keyword(s):  
Periodic Solutions ◽  
Optical Lattices ◽  
Periodic Potential ◽  
Matter Wave

Matter-wave solitons supported by quadrupole–quadrupole interactions and anisotropic discrete lattices

2018 ◽  
Vol 32 (09) ◽  
pp. 1850107 ◽  
Author(s):  
Rong-Xuan Zhong ◽  
Nan Huang ◽  
Huang-Wu Li ◽  
He-Xiang He ◽  
Jian-Tao Lü ◽  
...  
Keyword(s):  
Optical Lattices ◽  
Chemical Potential ◽  
Plane Waves ◽  
Einstein Condensate ◽  
Matter Wave ◽  
Linear Dispersion ◽  
One Dimensional ◽  
Bose Einstein Condensate ◽  
Discrete Lattices ◽  
Discrete Solitons

We numerically and analytically investigate the formations and features of two-dimensional discrete Bose–Einstein condensate solitons, which are constructed by quadrupole–quadrupole interactional particles trapped in the tunable anisotropic discrete optical lattices. The square optical lattices in the model can be formed by two pairs of interfering plane waves with different intensities. Two hopping rates of the particles in the orthogonal directions are different, which gives rise to a linear anisotropic system. We find that if all of the pairs of dipole and anti-dipole are perpendicular to the lattice panel and the line connecting the dipole and anti-dipole which compose the quadrupole is parallel to horizontal direction, both the linear anisotropy and the nonlocal nonlinear one can strongly influence the formations of the solitons. There exist three patterns of stable solitons, namely horizontal elongation quasi-one-dimensional discrete solitons, disk-shape isotropic pattern solitons and vertical elongation quasi-continuous solitons. We systematically demonstrate the relationships of chemical potential, size and shape of the soliton with its total norm and vertical hopping rate and analytically reveal the linear dispersion relation for quasi-one-dimensional discrete solitons.

Slowly moving matter-wave gap soliton propagation in weak random optical lattices

2007 ◽  
Vol 58 (3) ◽  
pp. 269-278
Author(s):  
M. R. Zhang ◽  
X. Y. Jiang ◽  
Y. L. Zhang ◽  
L. Shi ◽  
J. Zi ◽  
...  
Keyword(s):  
Optical Lattices ◽  
Matter Wave ◽  
Soliton Propagation ◽  
Gap Soliton

scholarly journals A glimpse of quantum phenomena in optical lattices

2012 ◽  
Vol 370 (1969) ◽  
pp. 2916-2929 ◽  
Author(s):  
Smitha Vishveshwara
Keyword(s):  
Optical Lattices ◽  
Periodic Potential ◽  
Hexagonal Lattice ◽  
Atomic Gases ◽  
Many Body ◽  
Atomic Systems ◽  
Lattice Quantum ◽  
Disorder Potential ◽  
Quantum Phenomena ◽  
Potential Landscape

Optical lattices in cold atomic systems offer an excellent setting for realizing quantum condensed matter phenomena. Here, a glimpse of such a setting is provided for the non-specialist. Some basic aspects of cold atomic gases and optical lattices are reviewed. Quantum many-body physics is explored in the case of interacting bosons on a lattice. Quantum behaviour in the presence of a potential landscape is examined for three different cases: a hexagonal lattice potential, a quasi-periodic potential and a disorder potential.

scholarly journals Quantum gas magnifier for sub-lattice-resolved imaging of 3D quantum systems

Nature ◽  
2021 ◽  
Vol 599 (7886) ◽  
pp. 571-575
Author(s):  
Luca Asteria ◽  
Henrik P. Zahn ◽  
Marcel N. Kosch ◽  
Klaus Sengstock ◽  
Christof Weitenberg
Keyword(s):  
Optical Imaging ◽  
Optical Lattices ◽  
Quantum Simulation ◽  
Matter Wave ◽  
Single Atom ◽  
Optical Traps ◽  
Quantum Gas ◽  
Many Body ◽  
Small Depth ◽  
Lattice Resolution

AbstractImaging is central to gaining microscopic insight into physical systems, and new microscopy methods have always led to the discovery of new phenomena and a deeper understanding of them. Ultracold atoms in optical lattices provide a quantum simulation platform, featuring a variety of advanced detection tools including direct optical imaging while pinning the atoms in the lattice1,2. However, this approach suffers from the diffraction limit, high optical density and small depth of focus, limiting it to two-dimensional (2D) systems. Here we introduce an imaging approach where matter wave optics magnifies the density distribution before optical imaging, allowing 2D sub-lattice-spacing resolution in three-dimensional (3D) systems. By combining the site-resolved imaging with magnetic resonance techniques for local addressing of individual lattice sites, we demonstrate full accessibility to 2D local information and manipulation in 3D systems. We employ the high-resolution images for precision thermodynamics of Bose–Einstein condensates in optical lattices as well as studies of thermalization dynamics driven by thermal hopping. The sub-lattice resolution is demonstrated via quench dynamics within the lattice sites. The method opens the path for spatially resolved studies of new quantum many-body regimes, including exotic lattice geometries or sub-wavelength lattices3–6, and paves the way for single-atom-resolved imaging of atomic species, where efficient laser cooling or deep optical traps are not available, but which substantially enrich the toolbox of quantum simulation of many-body systems.

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