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We show that two tight binding electrons that repel may form a bounded pair in two dimensions. The paired states form a band with energies that scale like the strength of the interaction potential. By applying an electric field we show that…

Strongly Correlated Electrons · Physics 2015-05-18 D. Souza , F. Claro

We investigate the localization-delocalization transition (LDT) in an electromagnetically induced photonic lattice. A four-level tripod-type scheme in atomic ensembles is proposed to generate an effective photonic moir\'{e} lattice through…

Quantum Gases · Physics 2023-08-21 Rui Tian , Shuai Li , Maksims Arzamasovs , Hong Gao , Yong-Chang Zhang , Bo Liu

Moir\'e superlattices have emerged as a new platform for studying strongly correlated quantum phenomena, but these systems have been largely limited to van der Waals layer two-dimensional (2D) materials. Here we introduce moir\'e…

Driving a many-body system out of equilibrium induces phenomena such as the emergence and decay of transient states, which can manifest itself as pattern and domain formation. The understanding of these phenomena expands the scope of…

We report on the experimental realization of a conservative optical lattice for cold atoms with sub-wavelength spatial structure. The potential is based on the nonlinear optical response of three-level atoms in laser-dressed dark states,…

In a benchmark dynamical-lattice model in three dimensions, the discrete nonlinear Schr{\"{o}}dinger equation, we find discrete vortex solitons with various values of the topological charge $S$. Stability regions for the vortices with…

Other Condensed Matter · Physics 2016-08-16 P. G. Kevrekidis , B. A. Malomed , D. J. Frantzeskakis , R. Carretero-González

We predict that photonic moir\'e lattices produced by two mutually twisted periodic sublattices in the medium with Kerr nonlinearity can support stable three-dimensional light bullets localized in both space and time. Stability of light…

Optics · Physics 2022-09-07 Yaroslav V. Kartashov

Motivated by the recent discovery of Mott insulating phase and unconventional superconductivity due to the flat bands in twisted bilayer graphene, we propose more generic ways of getting two-dimensional (2D) emergent flat band lattices…

Mesoscale and Nanoscale Physics · Physics 2020-07-29 M. Tahir , Olivier Pinaud , Hua Chen

Synthetic photonic lattice with temporally controlled potentials is a versatile platform for realizing wave dynamics associated with physical areas of optics and quantum physics. Here, discrete optics in one-dimensionally synthetic photonic…

Optics · Physics 2020-10-28 Zengrun Wen , Kaile Wang , Baole Lu , Xinyuan Qi , Haowei Chen , Jintao Bai

We present an experimental investigation of superlattice patterns generated on the surface of a fluid via parametric forcing with 2 commensurate frequencies. The spatio-temporal behavior of 4 qualitatively different types of superlattice…

Pattern Formation and Solitons · Physics 2009-11-07 H. Arbell , J. Fineberg

Overlaying commensurate optical lattices with various configurations called superlattices can lead to exotic lattice topologies and, in turn, a discovery of novel physics. In this study, by overlapping the maxima of lattices, a new isolated…

Quantum Physics · Physics 2016-10-26 Xinhao Zou , Baoguo Yang , Xia Xu , Pengju Tang , Xiaoji Zhou

Some important features of the graphene physics can be reproduced by loading ultracold fermionic atoms in a two-dimensional optical lattice with honeycomb symmetry and we address here its experimental feasibility. We analyze in great…

Quantum Physics · Physics 2009-10-27 Kean Loon Lee , Benoit Gremaud , Rui Han , Berthold-Georg Englert , Christian Miniatura

The phenomenon of transparency in two-dimensional and three-dimensional superlattices is analyzed on the basis of the Boltzmann equation with a collision term encompassing three distinct scattering mechanisms (elastic, inelastic and…

Condensed Matter · Physics 2009-11-07 Yuriy A. Romanov , Julia Yu. Romanova , Lev G. Mourokh , Norman J. M. Horing

Optical lattices serve as fundamental building blocks for atomic quantum technology. However, the scale and resolution of these lattices are diffraction-limited to the light wavelength. In conventional lattices, achieving tight confinement…

Quantum Physics · Physics 2025-01-15 Mohammadsadegh Khazali

As a novel platform for exploring exotic quantum phenomena, the moir\'e lattice has garnered significant interest in solid-state physics, photonics, and cold atom physics. While moir\'e lattices in two- and three-dimensional systems have…

Quantum Gases · Physics 2025-10-22 Lu Zhou , Zheng-Chun Li , Keye Zhang , Zhihao Lan , Alessio Celi , Weiping Zhang

Constructions of synthetic lattices in photonics attract growingly attentions for exploring interesting physics beyond the geometric dimensionality, among which modulated ring resonator system has been proved as a powerful platform to…

We report a time-resolved study of collective emission in dense ensembles of two-level atoms. We compare, on the same sample, the build-up of superradiance and subradiance from the ensemble when driven by a strong laser. This allows us to…

Quantum Physics · Physics 2022-04-06 Antoine Glicenstein , Giovanni Ferioli , Antoine Browaeys , Igor Ferrier-Barbut

In a superlattice containing a finite number of periods, the allowed values of the Bloch wave number form a discrete set, and the dynamics of an electron through k-space under the influence of an external force is necessarily that of a…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Herbert Kroemer

The fundamental condition for operating a superlattice (SL) as a Bloch oscillator is a homogeneous electric field alignment under large applied bias. This can be done by combining the nonlinear miniband transport channel with a parallel…

Other Condensed Matter · Physics 2007-05-23 T. Feil , H. -P. Tranitz , M. Reinwald , W. Wegscheider

An ideal superradiant laser on an optical clock transition of noninteracting cold atoms is predicted to exhibit an extreme frequency stability and accuracy far below mHz-linewidth. In any concrete setup sufficiently many atoms have to be…

Quantum Physics · Physics 2015-06-18 Thomas Maier , Sebastian Kraemer , Laurin Ostermann , Helmut Ritsch