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We examine the linear and nonlinear modes of a one-dimensional nonlinear electrical lattice, where the usual discrete Laplacian is replaced by a fractional discrete Laplacian. This induces a long-range intersite coupling that, at long…

Pattern Formation and Solitons · Physics 2021-09-01 Mario I. Molina

In recent years there has been significant interest in the concepts of synthetic dimensions, where one couples the internal degrees of freedom of a particle to form higher-dimensional lattices in lower-dimensional physical structures. For…

Optics · Physics 2019-07-24 Avik Dutt , Momchil Minkov , Qian Lin , Luqi Yuan , David A. B. Miller , Shanhui Fan

We demonstrate dynamic control of the lattice by THz light by exploiting the coupling of phonon modes. The low-energy sliding phonon modes in the spin-ladder system, Sr$_{14}$Cu$_{24}$O$_{41}$, are excited using THz radiation with high…

Strongly Correlated Electrons · Physics 2023-11-10 S. J. Sreerag , N. Malathi , Shahla Yasmin Mathengattil , Rabindranath Bag , Surjeet Singh , Rajeev N. Kini

Studying wave propagation in nonlinear discrete systems is essential for understanding energy transfer in lattices. While linear systems prohibit wave propagation within the natural band gap, nonlinear systems exhibit {supratransmission},…

Pattern Formation and Solitons · Physics 2025-09-18 R. Kusdiantara , M. Wijaya , M. F. Adhari , H. Susanto

Modulation of metasurfaces in time gives rise to several exotic space-time scattering phenomena by violating the reciprocity and generation of higher-order frequency harmonics. We introduce a new design paradigm for time-modulated…

Applied Physics · Physics 2018-12-31 Mohammad Mahdi Salary , Samad Jafar-Zanjani , Hossein Mosallaei

We use recent results that localized excitations in nonlinear Hamiltonian lattices can be viewed and described as multiple-frequency excitations. Their dynamics in phase space takes place on tori of corresponding dimension. For a…

Condensed Matter · Physics 2007-05-23 S. Flach

We use recent results that localized excitations in nonlinear Hamiltonian lattices can be viewed and described as multiple-frequency excitations. Their dynamics in phase space takes place on tori of corresponding dimension. For a…

chao-dyn · Physics 2009-10-22 S. Flach

Non-Hermitian systems with complex-valued energy spectra provide an extraordinary platform for manipulating unconventional dynamics of light. Here, we demonstrate the localization of light in an instantaneously reconfigurable non-Hermitian…

It is well known that a moving intrinsic localized mode (ILM) in a nonlinear physical lattice looses energy because of the resonance between it and the underlying small amplitude plane wave spectrum. By exploring the Fourier transform (FT)…

Pattern Formation and Solitons · Physics 2015-10-08 M. Sato , T. Nakaguchi , T. Ishikawa , S. Shige , Y. Soga , Y. Doi , A. J. Sievers

Direct manipulation of the atomic lattice using intense long-wavelength laser pulses has become a viable approach to create new states of matter in complex materials. Conventionally, a high frequency vibrational mode is driven resonantly by…

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…

Metamaterials based on mechanical elements have been developed over the past decade as a powerful platform for exploring analogs of electron transport in exotic regimes that are hard to produce in real materials. In addition to enabling new…

Optical lattices play a significant role in the field of cold atom physics, particularly in quantum simulations. Varying the lattice period is often a useful feature, but it presents the challenge of maintaining lattice phase stability in…

We study a nonlinear Glauber-Fock lattice and the conditions for the excitation of localized structures. We investigate the particular linear properties of these lattices, including linear localized modes. We investigate numerically…

Magnons are promising candidates for next-generation computing architectures, offering the ability to manipulate their amplitude and phase for information encoding. However, the frequency degree of freedom remains largely unexploited due to…

Mesoscale and Nanoscale Physics · Physics 2024-08-13 Meng Xu , Yan Chen , Weichao Yu

We study the properties of a tunable nonlinear metamaterial operating at microwave frequencies. We fabricate the nonlinear metamaterial composed of double split-ring resonators and wires where a varactor diode is introduced into each…

We theoretically propose a nonlinear spin-wave Doppler effect, in which the time-dependent motion of a magnetic energy boundary acts as an active frequency modulator, directly converting boundary-induced phase dynamics into instantaneous…

Applied Physics · Physics 2026-05-22 Jinchen Hou , Shaojie Hu , Long You

Dissipation can serve as a powerful resource for controlling the behavior of open quantum systems.Recently there has been a surge of interest in the influence of dissipative coupling on large quantum systems and, more specifically, how…

Quantum Gases · Physics 2019-05-22 Samantha Lapp , Jackson Ang'ong'a , Fangzhao Alex An , Bryce Gadway

We numerically study a one dimensional, nonlinear lattice model which in the linear limit is relevant to the study of bending (flexural) waves. In contrast with the classic one dimensional mass-spring system, the linear dispersion relation…

Statistical Mechanics · Physics 2022-02-16 Arnold Ngapasare , Geogios Theocharis , Olivier Richoux , Vassos Achilleos , Charalampos Skokos

Non-Hermitian systems enable continuous and smooth tuning of topological phases through externally controllable loss/gain parameters. Without altering the intrinsic lattice structure, merely fine-tuning the intensity or spatial distribution…

Applied Physics · Physics 2026-03-11 Shuanghuizhi Li , Bowei Wu , Tingfeng Ma , Jiaqi Zhang , Chenbowen Lou