Coupled sine-gordon model pdf
WebMar 28, 2024 · [Submitted on 28 Mar 2024] Preparing and Analyzing Solitons in the sine-Gordon Model with Quantum Gas Microscopes Elisabeth Wybo, Alvise Bastianello, Monika Aidelsburger, Immanuel Bloch, Michael Knap The sine-Gordon model emerges as a low-energy theory in a plethora of quantum many-body systems. WebApr 6, 2024 · Here, we show using bosonization that the double charge-Kondo model describing the device can be mapped in the Toulouse limit to a sine-Gordon model. Its Bethe-ansatz solution shows that a Z3...
Coupled sine-gordon model pdf
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http://www.m-hikari.com/ams/ams-2011/ams-33-36-2011/zhaoyunmeiAMS33-36-2011.pdf WebFeb 23, 2024 · In this work, a novel class of high-order energy-preserving algorithms are developed for simulating the coupled Klein-Gordon-Schr\"{o}dinger equations. We introduce a Lagrange multiplier approach and derive a new system which warrants exactly the original total energy, instead of the modified quadratic energy in the previous energy ...
WebOct 1, 2010 · In this paper, we give exact soliton solutions and periodic solutions to the coupled sine–Gordon equation (1.1). In order to solve this equation, we introduce a new unknown function φ = φ ( t, x) by the formula (1.2) φ = u − w so that w = u − φ. This gives (1.3) { u t t − u x x = − δ 2 sin φ. u t t − φ t t − α 2 ( u x x − φ x x) = sin φ. WebNov 30, 2015 · The asymptotic synchronization at the level of global random attractors is investigated for a class of coupled stochastic second order in time evolution equations. …
WebThe sine-Gordon model emerges as a low-energy theory in a plethora of quantum many-body systems. Here, we theoretically investigate tunnel-coupled Bose-Hubbard chains with strong repulsive interactions as a realization of the sine-Gordon model deep in the quantum regime. We propose protocols for quantum gas microscopes of ultracold atoms … WebSine-Gordon Nonlinearity and Derivative Coupling Jesús Cuevas-Maraver 1,2,, Boris A. Malomed 3 and Panayotis G. Kevrekidis 4 ... The basic PT-symmetric coupled SG model is formulated in Section 2, where conditions for the background stability of the system are derived as well. The dual system is supported by two couplings,
Web2. The Sine-Gordon Field Coupled to Oscillator at Boundary In this section we describe an integrable systems consisting of a sine-Gordon field restricted to the half line and coupled to an oscillator at the boundary. The sine-Gordon model is a 1+1 dimensional theory describing a rela-tivistic, self-interacting, massive, bosonicfield.
WebJan 1, 2014 · The sine-Gordon model is a ubiquitous model of Mathematical Physics with a wide range of applications extending from coupled torsion pendula and Josephson junction arrays to gravitational... niko kotoulas midi chord pack is it realWeb2 Topological solitons: the sine-Gordon equation 42 2.1 A simple mechanical example: the chain of coupled pendula 42 2.2 Solutions of the sine-Gordon equation 44 2.3 Long … ntthome電話WebOct 1, 2010 · The coupled sine–Gordon equations generalize the Frenkel–Kontorova dislocation model [2], [3]. System (1.1) with α = 1 was also proposed to describe the … ntt holdings boardWebWe would like to show you a description here but the site won’t allow us. nikolaevich23.github.ioWebApr 15, 2006 · The numerical solutions of the coupled sine-Gordon Eq. (3.1) have been shown in Fig. 1, Fig. 2 with the help of five-term approximations ϕ 5 and ψ 5 for the decomposition series solutions of u(x, t) and w(x, t) respectively.In the present numerical computation we have assumed c = 1, δ = 1, A = 1, and k . = 1.6.. Fig. 1, Fig. 2 have been … nikola coolidge facilityWebDec 3, 1992 · PDF Nonperturbative effects in matrix models and D-branes S. Alexandrov, V. Kazakov, D. Kutasov Physics 2003 The large order growth of string perturbation theory in c ≤ 1 conformal field theory coupled to world sheet gravity implies the presence of O (e-1/gs) non-perturbative effects, whose leading behavior… Expand 116 PDF nikola coolidge manufacturing facilityWeb“With the emphasis on the applications, the goal of the authors is to highlight a few important aspects of the sine-Gordon story in the form of concise mini-reviews. … any students … nikola coolidge az plant address