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Polaron and bipolaron formation in the Holstein-Hubbard model with harmonic confinement potential, relevant to quantum dot structures, is investigated in one to three dimensions by means of unbiased quantum Monte Carlo simulations. The…

Strongly Correlated Electrons · Physics 2007-06-13 Martin Hohenadler , Holger Fehske

We study exciton-polaritons in a two-dimensional Lieb lattice of micropillars. The energy spectrum of the system features two flat bands formed from $S$ and $P_{x,y}$ photonic orbitals, into which we trigger bosonic condensation under high…

The paradigm of electrons interacting with a periodic lattice potential is central to solid-state physics. Semiconductor heterostructures and ultracold neutral atomic lattices capture many of the essential properties of 1D electronic…

The confined variational method in conjunction with the orthogonalizing pseudo-potential method and the stabilization method is used to study the low energy elastic scattering between two spin-polarized metastable positronium…

Atomic Physics · Physics 2022-06-14 Y. Zhang , M. -S. Wu , J. -Y. Zhang , Y. Qian , X. Gao , K. Varga

We consider a two-dimensional (2D) generalization of a recently proposed model [Phys. Rev. E 88, 032905 (2013)], which gives rise to bright discrete solitons supported by the defocusing nonlinearity whose local strength grows from the…

Pattern Formation and Solitons · Physics 2015-06-23 P. G. Kevrekidis , B. A. Malomed , A. Saxena , D. J. Frantzeskakis , A. R. Bishop

We study families of solitons in a two-dimensional (2D) model of the light transmission through a photorefractive medium equipped with a (quasi-)one-dimensional photonic lattice. The soliton families are bounded from below by finite minimum…

Pattern Formation and Solitons · Physics 2009-11-11 Thawatchai Mayteevarunyoo , Boris A. Malomed

The stabilization of one-dimensional solitons by a nonlinear lattice against the critical collapse in the focusing quintic medium is a challenging issue. We demonstrate that this purpose can be achieved by combining a…

Optics · Physics 2018-08-01 Jincheng Shi , Jianhua Zeng , Boris A. Malomed

Spin-orbit coupling (SOC) is pivotal for various fundamental spin-dependent phenomena in solids and their technological applications. In semiconductors, these phenomena have been so far studied in relatively weak electron-electron…

Mesoscale and Nanoscale Physics · Physics 2021-06-09 D. Maryenko , M. Kawamura , A. Ernst , V. K. Dugaev , E. Ya. Sherman , M. Kriener , M. S. Bahramy , Y. Kozuka , M. Kawasaki

We address the existence and stability of localized modes in the two-dimensional (2D) linear Schroedinger lattice with two symmetric nonlinear sites embedded into it, and a generalization for moderately localized nonlinearity featuring two…

Pattern Formation and Solitons · Physics 2015-06-19 Valeriy A. Brazhnyi , Boris A. Malomed

Spin-orbit coupling (SOC) is central to many physical phenomena, including fine structures of atomic spectra and quantum topological matters. Whereas SOC is in general fixed in a physical system, atom-laser interaction provides physicists a…

We study localized two- and three-dimensional Langmuir solitons in the framework of model based on generalized nonlinear Schr\"odinger equation that accounts for local and nonlocal contributions to electron-electron nonlinearity. General…

Space Physics · Physics 2007-05-23 T. A. Davydova , A. I. Yakimenko , Yu. A. Zaliznyak

We propose an exact Hamiltonian lattice theory for (2+1)-dimensional spacetimes with homogeneous curvature. By gauging away the lattice we find a generalization of the ``polygon representation'' of (2+1)-dimensional gravity. We compute the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 A. Criscuolo , H. Waelbroeck

Density functional theory has been applied to investigate the electronic structure and lattice stability of molybdenene monolayer in both its hexagonal and triclinic phases, within ultrasoft pseudopotential approach. In agreement with…

Materials Science · Physics 2025-05-28 Ashkan Shekaari , Mahmoud Jafari

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 analysis is based on both the full…

Other Condensed Matter · Physics 2010-12-10 P. G. Kevrekidis , R. Carretero-González , G. Theocharis , D. J. Frantzeskakis , B. A. Malomed

In this work, we study pancake-shaped Bose-Einstein condensates confined by both a cylindrically symmetric harmonic potential and an optical lattice with equal periodicity in two orthogonal directions. We first identify the spectrum of the…

Pattern Formation and Solitons · Physics 2012-05-30 K. J. H. Law , P. G. Kevrekidis , B. P. Anderson , R. Carretero-Gonzalez , D. J. Frantzeskakis

We investigate stability of (2+1)-dimensional ring solitons of the nonlinear Schrodinger equation with focusing cubic and defocusing quintic nonlinearities. Computing eigenvalues of the linearised equation, we show that rings with spin…

Pattern Formation and Solitons · Physics 2009-11-07 I. Towers , A. V. Buryak , R. A. Sammut , B. A. Malomed , L. C. Crasovan , D. Mihalache

We introduce a system of two component two-dimensional (2D) complex Ginzburg-Landau equations (CGLEs) with spin-orbit-coupling (SOC) describing a wide-aperture microcavity laser with saturable gain and absorption. We report families of…

Pattern Formation and Solitons · Physics 2018-12-05 Thawatchai Mayteevarunyoo , Boris A. Malomed , Dmitry V. Skryabin

We show that the timed Dicke states of a collection of three-level atoms can form a tight-binding lattice in momentum space. This lattice, coined the superradiance lattice (SL), can be constructed based on electromagnetically induced…

Atomic Physics · Physics 2015-01-29 Da-Wei Wang , Ren-Bao Liu , Shi-Yao Zhu , Marlan O. Scully

Spin-orbit coupling in solids is typically a single-body effect arising from relativity. In this work, we propose a spontaneous generation of spin-orbit coupling from symmetry breaking. A spin-dependent electron-phonon coupling model is…

Strongly Correlated Electrons · Physics 2024-10-23 Xiangyu Zhang , Da Wang , Congjun Wu

We introduce a 2D network built of $\mathcal{PT}$-symmetric dimers with on-site cubic nonlinearity, the gain and loss elements of the dimers being linked by parallel square-shaped lattices. The system may be realized as a set of…

Optics · Physics 2015-06-23 Zhaopin Chen , Jingfeng Liu , Shenhe Fu , Yongyao Li , Boris A. Malomed