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The formation of correlated structures is of importance in many diverse contexts such as strongly coupled plasmas, soft matter, and even biological mediums. In all these contexts the dynamics are mainly governed by electrostatic…

Plasma Physics · Physics 2023-06-07 Mamta Yadav , Priya Deshwal , Srimanta Maity , Amita Das

Spatially periodic modulation of the intersite coupling in two-dimensional (2D) nonlinear lattices modifies the eigenvalue spectrum by opening mini-gaps in it. This work aims to build stable localized modes in the new bandgaps. Numerical…

Pattern Formation and Solitons · Physics 2015-06-19 Goran Gligorić , Aleksandra Maluckov , Ljupčo Hadžievski , Boris A. Malomed

A generic distinct mechanism for the emergence of spatially localized states embedded in an oscillatory background is demonstrated by using 2:1 frequency locking oscillatory system. The localization is of Turing type and appears in two…

Pattern Formation and Solitons · Physics 2017-04-24 Paulino Monroy Castillero , Arik Yochelis

A domain wall of relative phase in a flattened harmonically-trapped Bose-Einstein condensed mixture of two atomic hyperfine states, subject to a stationary Rabi coupling of intensity $\Omega$, is predicted to decay through two different…

Quantum Gases · Physics 2019-08-14 Albert Gallemí , Lev P. Pitaevskii , Sandro Stringari , Alessio Recati

We extend a special kind of localized state trapped at the intersection due to the geometric confinement, first proposed in a three-terminal-opening T-shaped structure [Euro. Phys. Lett. {\bf 55}, 539 (2001)], into a ring geometry with a…

Mesoscale and Nanoscale Physics · Physics 2014-08-26 F. Yang , M. W. Wu

Channel flow, the pressure driven flow between parallel plates, has exact coherent structures that show various degrees of localization. For states which are localized in streamwise direction but extended in spanwise direction, we show that…

Fluid Dynamics · Physics 2016-10-19 Stefan Zammert , Bruno Eckhardt

We study synchronization of locally coupled noisy phase oscillators which move diffusively in a one-dimensional ring. Together with the disordered and the globally synchronized states, the system also exhibits several wave-like states which…

Biological Physics · Physics 2010-09-22 Fernando Peruani , Ernesto M. Nicola , Luis G. Morelli

We present a magnetoelastic lattice in which a localized external magnetic field, generated by an assembly of fixed magnets, tunes the potential landscape to create monostable, bistable, and tristable configurations. Focusing on the…

Pattern Formation and Solitons · Physics 2025-01-22 Anusree Ray , Samanvay Anand , Vivekanand Dabade , Rajesh Chaunsali

Solitons in the fractional space, supported by lattice potentials, have recently attracted much interest. We consider the limit of deep one- and two-dimensional (1D and 2D) lattices in this system, featuring finite bandgaps separated by…

Optics · Physics 2022-01-10 Xiuye Liu , Boris A. Malomed , Jianhua Zeng

We propose a scheme for the generation of entangled states for two atoms trapped in separate cavities coupled to each other. The scheme is based on the competition between the unitary dynamics induced by the classical fields and the…

Quantum Physics · Physics 2011-12-30 Li-Tuo Shen , Xin-Yu Chen , Zhen-Biao Yang , Huai-Zhi Wu , Shi-Biao Zheng

The topological phases of periodically-driven, or Floquet systems, rely on a perfectly periodic modulation of system parameters in time. Even the smallest deviation from periodicity leads to decoherence, causing the boundary (end) states to…

Mesoscale and Nanoscale Physics · Physics 2019-01-14 M. -T. Rieder , L. M. Sieberer , M. H. Fischer , I. C. Fulga

In this letter, we investigate the statistical properties of electromagnetic signals after different times of duration within one-dimensional local-disordered time-varying cavities, where both spatial and temporal disorders are added. Our…

Disordered Systems and Neural Networks · Physics 2024-08-01 Bo Zhou , Xingsong Feng , Xianmin Guo , Fei Gao , Hongsheng Chen , Zuojia Wang

From cytoskeletal networks to tissues, many biological systems behave as active materials. Their composition and stress-generation is affected by chemical reaction networks. In such systems, the coupling between mechanics and chemistry…

Biological Physics · Physics 2024-09-25 Luca Barberi , Karsten Kruse

We investigate the impact of harmonic confinement in a finite optical superlattice and reveal the different mechanisms that can lead to the emergence of localized states. The optical superlattice, with odd or even number of unit cells, can…

Temporal Localized States (TLSs) are individually addressable structures traveling in optical resonators. They can be used as bits of information and to generate frequency combs with tunable spectral density. We show that a pair of…

A formalism is introduced to describe a number of physical processes that may break down the coherence of a matter wave over a characteristic length scale l. In a second-quantized description, an appropriate master equation for a set of…

Quantum Physics · Physics 2015-06-26 Julio Gea-Banacloche

We study the existence of one-dimensional localized states supported by linear periodic potentials and a domain-wall-like Kerr nonlinearity. The model gives rise to several new types of asymmetric localized states, including single- and…

Pattern Formation and Solitons · Physics 2019-09-24 Jincheng Shi , Jianhua Zeng

We construct examples of highly entangled two-dimensional states by exploiting a correspondence between stochastic processes in $d$ dimensions and quantum states in $d+1$ dimensions. The entanglement structure of these states, which we…

Quantum Physics · Physics 2026-01-19 Wucheng Zhang

Cosmological domain walls appear in many well-motivated extensions to the standard model of particle physics. If produced, they quickly enter into a self-similar scaling regime, where they are capable of efficiently sourcing a stochastic…

Cosmology and Nongalactic Astrophysics · Physics 2025-04-04 Bryce Cyr , Steven Cotterill , Richard Battye

A novel mechanism of efficient second harmonic generation in domain wall series is reported. By employing angle modulation, obvious intensity peaks of second harmonic appear at specific incident angles utilizing the continuous laser source…

Optics · Physics 2010-10-11 Huaijin Ren , Xuewei Deng , Xianfeng Chen