Artículo
Floquet solitons in square lattices: Existence, stability, and dynamics
Autor/es | Parker, Ross
Aceves, Alejandro Cuevas-Maraver, Jesús Kevrekidis, Panayotis G. |
Departamento | Universidad de Sevilla. Departamento de Física Aplicada I |
Fecha de publicación | 2022-04 |
Fecha de depósito | 2023-01-16 |
Publicado en |
|
Resumen | In the present work, we revisit a recently proposed and experimentally realized topological two-dimensional lattice with periodically time-dependent interactions. We identify the fundamental solitons, previously observed ... In the present work, we revisit a recently proposed and experimentally realized topological two-dimensional lattice with periodically time-dependent interactions. We identify the fundamental solitons, previously observed in experiments and direct numerical simulations, as exact, exponentially localized, periodic in time solutions. This is done for a variety of phase-shift angles of the central nodes upon an oscillation period of the coupling strength. Subsequently, we perform a systematic Floquet stability analysis of the relevant structures. We analyze both their point and their continuous spectrum and find that the solutions are generically stable, aside from the possible emergence of complex quartets due to the collision of bands of continuous spectrum. The relevant instabilities become weaker as the lattice size gets larger. Finally, we also consider multisoliton analogs of these Floquet states, inspired by the corresponding discrete nonlinear Schrödinger (DNLS) lattice. When exciting initially multiple sites in phase, we find that the solutions reflect the instability of their DNLS multi-soliton counterparts, while for configurations with multiple excited sites in alternating phases, the Floquet states are spectrally stable, again analogously to their DNLS counterparts. |
Agencias financiadoras | Consejería de Economía, Conocimiento, Empresas y Universidad de la Junta de Andalucía and FEDER (EU) P18-RT-3480 Consejería de Economía, Conocimiento, Empresas y Universidad de la Junta de Andalucía and FEDER (EU) US-1380977 MICINN and AEI PID2019-110430GB-C21 MICINN and AEI PID2020-112620GB-I00 |
Identificador del proyecto | P18-RT-3480
US-1380977 PID2019-110430GB-C21 PID2020-112620GB-I00 |
Cita | Parker, R., Aceves, A., Cuevas-Maraver, J. y Kevrekidis, P.G. (2022). Floquet solitons in square lattices: Existence, stability, and dynamics. Physical Review E, 105 (4), 044211. https://doi.org/10.1103/PhysRevE.105.044211. |
Ficheros | Tamaño | Formato | Ver | Descripción |
---|---|---|---|---|
PRE_cuevas-maraver_2022_floquet.pdf | 2.286Mb | [PDF] | Ver/ | |