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We consider here quasiperiodic potentials on the plane, which can serve as a "transitional link" between ordered (periodic) and chaotic (random) potentials. As can be shown, in almost any family of quasiperiodic potentials depending on a…

Mathematical Physics · Physics 2022-02-09 Ivan Dynnikov , Andrei Maltsev

It is argued that an appearance of the near parity doublets in the upper part of the light baryon spectrum is an evidence for the chiral symmetry restoration in the regime where a typical momentum of quarks is around the chiral symmetry…

High Energy Physics - Phenomenology · Physics 2016-09-06 L. Ya. Glozman

We report on the properties of a system of interacting electrons in a narrow channel in the quantum Hall effect regime. It is shown that an increase in the strength of the Coulomb interaction causes abrupt changes in the width of the…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Tapash Chakraborty , K. Niemelä , P. Pietiläinen

We study topological properties of one-dimensional nonlinear bichromatic superlattices and unveil the effect of nonlinearity on topological states. We find the existence of nontrivial edge solitions, which distribute on the boundaries of…

Quantum Gases · Physics 2017-04-26 C. S. Liu , Z. Z. Wang. Chuanhao Yin , Y. D. Wu , T. F. Xu , L. H. Wen , Shu Chen

We consider a particle bound to a two-dimensional plane and a double well potential, subject to a perpendicular uniform magnetic field . The energy difference between the lowest two eigenvalues--the eigenvalue splitting--is related to the…

Mathematical Physics · Physics 2022-01-25 Charles L. Fefferman , Jacob Shapiro , Michael I. Weinstein

It is shown that the potential perturbation that shifts a chosen standing wave in space is a block of potential barrier and well for every wave bump between neighbouring knots. The algorithms shifting the range of the primary localization…

Quantum Physics · Physics 2015-06-26 V. M. Chabanov , B. N. Zakhariev

We study the stability of gap solitons of the super-Tonks-Girardeau bosonic gas in one-dimensional periodic potential. The linear stability analysis indicates that increasing the amplitude of periodic potential or decreasing the nonlinear…

Quantum Gases · Physics 2015-06-04 T. F. Xu , X. L. Jing , H. G. Luo , C. S. Liu

An analysis is presented of wave-vector dispersion in elliptically birefringent stratified magneto-optic media having one-dimensional periodicity. It is found that local normal-mode polarization-state differences between adjacent layers…

Optics · Physics 2009-11-13 Amir A. Jalali , Miguel Levy

Robust topological edge modes may evolve into complex-frequency modes when a physical system becomes non-Hermitian. We show that, while having negligible forward optical extinction cross section, a conjugate pair of such complex topological…

Mesoscale and Nanoscale Physics · Physics 2016-12-02 C. W. Ling , Ka Hei Choi , T. C. Mok , Z. Q. Zhang , Kin Hung Fung

We predict the existence of an energy barrier for collapse in a system of two tunnel-coupled repulsive and attractive quasi two-dimensional condensates trapped in a double-well potential. The ground state in such a system can have a lower…

Other Condensed Matter · Physics 2009-11-10 Valery S. Shchesnovich , Solange B. Cavalcanti

Anomalous transport in tilted periodic potentials is investigated within the framework of the fractional Fokker-Planck dynamics and the underlying continuous time random walk. The analytical solution for the stationary, anomalous current is…

Statistical Mechanics · Physics 2007-07-17 I. Goychuk , E. Heinsalu , M. Patriarca , G. Schmid , P. Hanggi

We investigate the dynamics of a single, overdamped colloidal particle, which is driven by a constant force through a one-dimensional periodic potential. We focus on systems with large barrier heights where the lowest-order cumulants of the…

Statistical Mechanics · Physics 2016-05-30 Clive Emary , Robert Gernert , Sabine H. L. Klapp

Current models predict particles of the same material but different sizes to charge bipolar upon contacts; the resulting charge peaks endanger process safety. However, we found wall-bounded turbulence to suppress the powder's electrostatic…

Fluid Dynamics · Physics 2024-02-05 Simon Jantač , Holger Grosshans

Atomic arrays provide an important quantum optical platform with photon-mediated dipoledipole interactions, which can be engineered to realize key applications in quantum information processing. A major obstacle for such application is the…

Quantum Physics · Physics 2023-03-28 Luojia Wang , Da-Wei Wang , Luqi Yuan , Yaping Yang , Xianfeng Chen

We consider an equidistant array of disjoint potential wells in $\mathbb{R}^\nu,\: \nu\ge 2$, built over a straight line, and show that, under a restriction on the potential support aspect ratio, a perturbation consisting of longitudinal…

Spectral Theory · Mathematics 2025-08-05 Pavel Exner , David Spitzkopf

The pseudopotential method is used to derive electron hole structures in a suprathermal plasma having a regularized $\kappa$ probability distribution function background. The regularized character allows the exploration of small $\kappa$…

Plasma Physics · Physics 2023-10-16 Fernando Haas , Horst Fichtner , Klaus Scherer

We examine one-dimensional quantum scattering of a Dirac particle off relativistic potential barriers. With proper considerations of Dirac sea, existence of anomalous tunneling at zero incident-energy is revealed for a particular type of…

Quantum Physics · Physics 2009-08-03 Pavel Hejcik , Taksu Cheon

Chiral tunneling through a harmonically driven potential barrier in graphene monolayer is considered in this work. Since the quasiparticles in this system are chiral in nature, tunneling is highly anisotropic, we determine the transmission…

Mesoscale and Nanoscale Physics · Physics 2008-08-23 M. Ahsan Zeb , K. Sabeeh , M. Tahir

We consider a Bose-Einstein condensate, which is confined in a very tight toroidal/annular trap, in the presence of a potential, which breaks the axial symmetry of the Hamiltonian. We investigate the stationary states of the condensate,…

Plasmon resonance, with strong coupling of light to electrons at a metal-dielectric interface, allows light confinement and control at subwavelength scale. It's fundamentally limited by the inherent mobility of the electrons, leading to the…

Optics · Physics 2019-02-20 Evgenii E. Narimanov
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