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. WebMay 15, 2007 · We show that the nontrivial excitation spectrum of the quantum sine-Gordon model, which includes soliton and breather excitations, can be observed in experiments …
Coupled sine-gordon model pdf
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Webequation as a model of many important physical systems [8]. Around that time, the name “sine-Gordon” was coined, as a pun based on the pattern of KG. Probably, the first paper in the title of which “sine-Gordon equation” had appeared was published by J. Rubinstein in 1970 [9] (see also a historical review [10] by A. Scott). 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 19, 2004 · We investigate a generalization of the massless boundary sine-Gordon model with conformal invariance, which has been used to describe an array of D-branes … WebThe system of coupled sine-Gordon equations in the form u tt −u xx =−δ 2 sin ðÞu−v, v tt −α 2v xx =sin ðÞu−v, ( α>0,δ>0, ð1Þ was introduced by Khusnutdinova and Pelinovsky …
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 … WebJan 1, 2014 · The sine-Gordon Model: General Background, Physical Motivations, Inverse Scattering, and Solitons ... systems of coupled sG equations, and others. ... Download …
WebApr 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 …
WebSine-Gordon Equation The sine-Gordon equation is a nonlinear hyperbolic partialdifferential equation in-volving the d’Alembert operator and the sine of the unknown function. The equa-tion, as well as several solution techniques, were known in the nineteenth century in the course of study of various problems of differential geometry. … rednal hill junior school ofstedWebAnother generalization of coupled sine-Gordon model has been given as an example of continuously degenerate soliton (Shifman and Voloshin, 1998). In contrast to the mod-els mention above, this model involves a highly coupled self-interacting fields with non-polynomial form. This model has richer structure and dynamics and deserves further anal ... rednal hill infantsWebAnother generalization of coupled sine-Gordon model has been given as an example of continuously degenerate soliton (Shifman and Voloshin, 1998). In contrast to the mod-els … rednal hill laneWebAug 1, 2024 · The sine-Gordon field theory emerges as the low-energy description in a wealth of quantum many-body systems. Recent efforts have been directed towards realizing quantum simulators of the model, by interfering two weakly coupled one-dimensional cold atomic gases. The weak interactions within the atomic clouds provide a sine-Gordon … rednal hill infant school term datesWebMay 15, 2024 · (PDF) Coupled Sine-Gordon Systems in DNA Dynamics Coupled Sine-Gordon Systems in DNA Dynamics Authors: Liya Liu Chuanzhong Li Shandong … richard valle union city caWebNov 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. The main focus is on sine-Gordon type models perturbed by additive white noise. The model describes distributed Josephson junctions. rednal hill junior school staffWebJan 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... rednal hill infant school website