Zobrazeno 1 - 10
of 489
pro vyhledávání: '"Weinstein, A. I."'
Autor:
Lai, Chen-Chih, Weinstein, Michael I.
We study the dynamics of a gas bubble in a fluid with surface tension, initially near a spherical equilibrium. While there are many studies and applications of radial bubble dynamics, the theory of general deformations from a spherical equilibrium is
Externí odkaz:
http://arxiv.org/abs/2408.03787
Autor:
Chaban, Jonah, Weinstein, Michael I.
Consider the Schr\"{o}dinger operator $H = -\Delta + V$, where the potential $V$ is real, $\mathbb{Z}^2$-periodic, and additionally invariant under the symmetry group of the square. We show that, under typical small linear deformations of $V$, the qu
Externí odkaz:
http://arxiv.org/abs/2404.05886
We study a semilinear hyperbolic system of PDEs which arises as a continuum approximation of the discrete nonlinear dimer array model introduced by Hadad, Vitelli and Alu (HVA) in \cite{HVA17}. We classify the system's traveling waves, and study thei
Externí odkaz:
http://arxiv.org/abs/2402.07567
We continue our study of the quantum optics of a single photon interacting with a system of two level atoms. In this work we investigate the case of a periodic arrangement of atoms. We provide a general structure theorem characterizing the band funct
Externí odkaz:
http://arxiv.org/abs/2311.12632
Dispersive time-decay estimates are proved for a one-parameter family of one-dimensional Dirac Hamiltonians with dislocations; these are operators which interpolate between two phase-shifted massive Dirac Hamiltonians at $x=+\infty$ and $x=-\infty$.
Externí odkaz:
http://arxiv.org/abs/2307.06499
We consider the quantum optics of a single photon interacting with a system of two level atoms. This leads to the study of a nonlinear eigenproblem for a system of nonlocal partial differential equations. Two classes of solutions to these equations a
Externí odkaz:
http://arxiv.org/abs/2306.10431
Autor:
Barsukova, Maria, Grisé, Fabien, Zhang, Zeyu, Vaidya, Sachin, Guglielmon, Jonathan, Weinstein, Michael I., He, Li, Zhen, Bo, McEntaffer, Randall, Rechtsman, Mikael C.
We experimentally observe photonic Landau levels that arise due to a strain-induced pseudomagnetic field in a silicon photonic crystal slab. The Landau levels are dispersive (i.e., they are not flat bands) due to the distortion of the unit cell by th
Externí odkaz:
http://arxiv.org/abs/2306.04011
Autor:
Lai, Chen-Chih, Weinstein, Michael I.
We study the radial relaxation dynamics toward equilibrium and time-periodic pulsating spherically symmetric gas bubbles in an incompressible liquid due to thermal effects. The asymptotic model ([A. Prosperetti, J. Fluid Mech., 1991] and [Z. Biro and
Externí odkaz:
http://arxiv.org/abs/2305.03569
Autor:
Sagiv, Amir, Weinstein, Michael I.
The spectral analysis of the unitary monodromy operator, associated with a time-periodically (paramatrically) forced Schrodinger equation, is a question of longstanding interest. Here, we consider this question for Hamiltonians of the form $$H^{\vare
Externí odkaz:
http://arxiv.org/abs/2304.10685
In this work, we study the dynamics of an infinite array of nonlinear dimer oscillators which are linearly coupled as in the classical model of Su, Schrieffer and Heeger (SSH). The ratio of in-cell and out-of-cell couplings of the SSH model defines d
Externí odkaz:
http://arxiv.org/abs/2210.04387