36 citations · 107 across the 12 of their papers we have counts for
13 papers
Vector Edge Solitons and Domain Walls in a Nonlinear Mechanical Topological Insulator
David D. J. M. Snee, Yi-Ping Ma
We report nonlinear edge waves in a 2D mechanical topological insulator. A bulk lattice consists of pendulums with on-site cubic nonlinearity connected by linear springs realizing…
Domain Walls and Vector Solitons in the Coupled Nonlinear Schrodinger Equation
David D. J. M. Snee, Yi-Ping Ma
We outline a program to classify domain walls (DWs) and vector solitons in the 1D two-component coupled nonlinear Schrodinger (CNLS) equation with general coefficients. The CNLS eq…
Edge Solitons in a Nonlinear Mechanical Topological Insulator
David D. J. M. Snee, Yi-Ping Ma
We report localized and unidirectional nonlinear traveling edge waves discovered theoretically and numerically in a 2D mechanical (phononic) topological insulator. The lattice cons…
A universal asymptotic regime in the hyperbolic nonlinear Schrödinger equation
Mark J. Ablowitz, Yi-Ping Ma, Igor Rumanov
The appearance of a fundamental long-time asymptotic regime in the two space one time dimensional hyperbolic nonlinear Schrödinger (HNLS) equation is discussed. Based on analytical…
Conical Wave Propagation and Diffraction in 2D Hexagonally Packed Granular Lattices
C. Chong, P. G. Kevrekidis, M. J. Ablowitz +1
Linear and nonlinear mechanisms for conical wave propagation in two-dimensional lattices are explored in the realm of phononic crystals. As a prototypical example, a statically com…
Two-dimensional localized structures in harmonically forced oscillatory systems
Y. -P. Ma, E. Knobloch
Two-dimensional spatially localized structures in the complex Ginzburg-Landau equation with 1:1 resonance are studied near the simultaneous occurrence of a steady front between two…
Dispersive shock waves in the Kadomtsev-Petviashvili and Two Dimensional Benjamin-Ono equations
Mark J. Ablowitz, Ali Demirci, Yi-Ping Ma
Dispersive shock waves (DSWs) in the Kadomtsev-Petviashvili (KP) equation and two dimensional Benjamin-Ono (2DBO) equation are considered using parabolic front initial data. Employ…
Strong transmission and reflection of edge modes in bounded photonic graphene
Mark J. Ablowitz, Yi-Ping Ma
The propagation of linear and nonlinear edge modes in bounded photonic honeycomb lattices formed by an array of rapidly varying helical waveguides is studied. These edge modes are…
Adiabatic Dynamics of Edge Waves in Photonic Graphene
M. J. Ablowitz, C. W. Curtis, Y. -P. Ma
The propagation of localized edge modes in photonic honeycomb lattices, formed from an array of adiabatically varying periodic helical waveguides, is considered. Asymptotic analysi…
New Approach to Quantum Error Correction
Ri Qu, Bing-jian Shang, Yan-ru Bao +1
Operator quantum error correction provides a unified framework for the known techniques of quantum error correction such as the standard error correction model, the method of decoh…
Bipartite entanglement and hypergraph states
Ri Qu, Juan Wang, Yan-ru Bao +2
We investigate some properties of multipartite entanglement of hypergraph states in purely hypergraph theoretical terms. We first introduce an approach for computing the concurrenc…
Entropic measure and hypergraph states
Ri Qu, Yi-ping Ma, Yan-ru Bao +2
We investigate some properties of the entanglement of hypergraph states in purely hypergraph theoretical terms. We first introduce an approach for computing local entropic measure…
Relationship among locally maximally entanglable states, W states and hypergraph states under local unitary transformations
Ri Qu, Yi-ping Ma, Bo Wang +1
Kruszynska and Kraus [Phys. Rev. A 79, 052304 (2009)] have recently introduced the so-called locally maximally entanglable (LME) states of n qubits which can be maximally entangled…