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We find the exact Bloch oscillations in zigzag arrays of curved optical waveguides under the influence of arbitrary long-range coupling. The curvature induces a linear transverse potential gradient in the equations of the light evolution.…

Optics · Physics 2017-07-20 R. Arjona , E. Diaz , F. Dominguez-Adame

We analyze the energy spectrum and eigenstates of cold atoms in a tilted brick-wall optical lattice. When the tilt is applied, the system exhibits a sequence of topological phase transitions reflected in an abrupt change of the eigenstates.…

Quantum Gases · Physics 2018-07-11 Andrey R. Kolovsky

Bloch oscillations are a powerful tool to investigate spectra with Dirac points. By varying band parameters, Dirac points can be manipulated and merged at a topological transition towards a gapped phase. Under a constant force, a Fermi sea…

Quantum Gases · Physics 2015-03-19 Lih-King Lim , Jean-Noël Fuchs , Gilles Montambaux

We demonstrate that nonlinearity may play a constructive role in supporting Bloch oscillations in a model which is discrete, in one dimension and continuous in the orthogonal one. The model can be experimentally realized in several fields…

Pattern Formation and Solitons · Physics 2017-05-25 R. Driben , V. V. Konotop , T. Meier , A. V. Yulin

Coherent bremsstrahlung of high energy electrons moving in a three-dimensional imperfect periodic lattice consisting of a complicated system of atoms is considered. On the basis of the normalized probability density function of the…

Materials Science · Physics 2016-08-31 S. Bellucci , V. A. Maisheev

Correlations of a Bose gas released from an optical lattice are measured using superradiant scattering. Conditions are chosen so that after initial incident light pumping at the Bragg angle for diffraction, due to matter wave amplification…

Quantum Gases · Physics 2015-05-28 Bo Lu , Thibault Vogt , Xinxing Liu , Xu Xu , Xiaoji Zhou , Xuzong Chen

The T-reversal-violating optical gyrotropy is discussed. A new optical phenomenon of photon polarization plane rotation in a medium exposed to an electric field caused by the Stark mixing of atom (molecule) levels and T-odd phenomenon of…

High Energy Physics - Phenomenology · Physics 2007-05-23 Vladimir G. Baryshevsky

Modal coupling between frequency-degenerate resonances of an optical ring resonator is a commonly observed phenomenon that results in adverse mode splitting. Traditionally, this coupling is attributed to Rayleigh scattering of a propagating…

Optics · Physics 2018-06-27 Kathleen McGarvey-Lechable , Pablo Bianucci

We study Bragg-induced power oscillations in Fourier space between a pair of optical resonant transverse modes propagating through a periodic PT symmetric lattice, represented by a refractive index that includes gain and loss in a balanced…

Optics · Physics 2017-11-29 Paulo A. Brandão , Solange B. Cavalcanti

Under a perfect periodic potential, the electric current density induced by a constant electric field may exhibit nontrivial oscillations, so-called Bloch oscillations, with an amplitude that remains nonzero in the large system size limit.…

Strongly Correlated Electrons · Physics 2022-01-04 Yankang Liu , Yohei Fuji , Haruki Watanabe

We propose a scheme to control and enhance atomic Bloch oscillations via photon-mediated interactions in an optical lattice supported by a standing-wave cavity with incommensurate lattice and cavity wavelengths. Our scheme uses…

Quantum Physics · Physics 2024-02-14 Haoqing Zhang , Anjun Chu , Chengyi Luo , James K. Thompson , Ana Maria Rey

We investigate the electronic Bloch oscillation in bilayer graphene gradient superlattices using transfer matrix method. By introducing two kinds of gradient potentials of square barriers along electrons propagation direction, we find that…

Mesoscale and Nanoscale Physics · Physics 2014-09-01 Hemeng Cheng , Changan Li , Tianxing Ma , Li-Gang Wang , Yun Song , Hai-Qing Lin

Optical vortices are phase singularities nested in electromagnetic waves that constitute a fascinating source of phenomena in the physics of light and display deep similarities to their close relatives, quantized vortices in superfluids and…

Pattern Formation and Solitons · Physics 2007-05-23 Anton S. Desyatnikov , Lluis Torner , Yuri S. Kivshar

We study the dynamics of few interacting bosons in a one-dimensional lattice with dc bias. In the absence of interactions the system displays single particle Bloch oscillations. For strong interaction the Bloch oscillation regime reemerges…

Other Condensed Matter · Physics 2015-05-18 Ramaz Khomeriki , Dmitry O. Krimer , Masudul Haque , Sergej Flach

We study the effect of charge discreteness in a quantum mesoscopic ring wih inductance L. The ring is pierced by a time depending external magnetic field. When the external magnetic flux varies uniformly, the current induced in the ring…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 J. C. Flores , E. Lazo

It is shown that the one-dimensional nonlinear Schr\"odinger equation with a dissipative periodic potential, nonlinear losses and linear pump allow for the existence of stable nonlinear Bloch states which are attractors. The model describes…

Other Condensed Matter · Physics 2010-09-10 Yu. V. Bludov , V. V. Konotop

Geometric analogs of Bloch oscillations studied so far have relied on Berry curvature. We show that a weakly inhomogeneous electric field adds a distinct quantum-metric term to semiclassical wavepacket dynamics, generating an oscillatory…

Mesoscale and Nanoscale Physics · Physics 2026-05-22 M. Maneesh Kumar , Md Kaif Faiyaz , Sayan Sarkar , Amit Agarwal

A standing-wave control field applied to a three-level atomic medium in a planar hollow-core photonic crystal waveguide creates periodic variations of linear and nonlinear refractive indexes of the medium. This property can be used for…

Optics · Physics 2015-05-18 Chao Hang , V. V. Konotop

We investigate both experimentally and theoretically disorder induced damping of Bloch oscillations of Bose-Einstein condensates in optical lattices. The spatially inhomogeneous force responsible for the damping is realised by a combination…

Other Condensed Matter · Physics 2009-11-13 S. Drenkelforth , G. Kleine Büning , J. Will , T. Schulte , N. Murray , W. Ertmer , L. Santos , J. J. Arlt

We derive the semiclassical Bloch dynamics with the second-order Berry phase correction in the presence of the slow-varying scalar potential as perturbation. Our mathematical derivation is based on a two-scale WKB asymptotic analysis. For a…

Analysis of PDEs · Mathematics 2020-04-15 Jianfeng Lu , Zihang Zhang , Zhennan Zhou