Quantum lattice gas representation of some classical solitons

DOI10.1016/S0375-9601(03)00334-7zbMath1011.35113OpenAlexW1999263431MaRDI QIDQ1867911

Jeffrey Yepez, Linda Vahala, George Vahala

Publication date: 2 April 2003

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0375-9601(03)00334-7

zbMATH Keywords

Korteweg-de Vries equationnon-linear Schrödinger equationsoliton-soliton collisions

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Quantum equilibrium statistical mechanics (general) (82B10) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (7)

The Effect of the Width of the Incident Pulse to the Dielectric Transition Layer in the Scattering of an Electromagnetic Pulse—A Qubit Lattice Algorithm Simulation ⋮ Lattice Boltzmann model for the bimolecular autocatalytic reaction-diffusion equation ⋮ Numerical studies based on higher-order accuracy lattice Boltzmann model for the complex Ginzburg-Landau equation ⋮ Qubit lattice algorithm simulations of Maxwell's equations for scattering from anisotropic Dielectric objects ⋮ Three-dimensional lattice Boltzmann model for the complex Ginzburg-Landau equation ⋮ NMR Quantum Computing ⋮ Lattice quantum algorithm for the Schrödinger wave equation in \(2+1\) dimensions with a demonstration by modeling soliton instabilities

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Simulating quantum mechanics on a quantum computer.
• Quantum lattice-gas model for the Burgers equation
• An efficient and accurate quantum lattice-gas model for the many-body Schrödinger wave equation
• Towards an NMR implementation of a quantum lattice gas algorithm
• Lattice Boltzmann and quantum lattice gas representations of one-dimensional magnetohydrodynamic turbulence
• Introduction to Quantum Computation and Information

This page was built for publication: Quantum lattice gas representation of some classical solitons