scholarly journals Linear quantum quench in the Heisenberg XXZ chain: Time-dependent Luttinger-model description of a lattice system

2013 ◽  
Vol 87 (4) ◽  
Author(s):  
Frank Pollmann ◽  
Masudul Haque ◽  
Balázs Dóra
Keyword(s):  
Lattice System ◽  
Time Dependent ◽  
Model Description ◽  
Luttinger Model ◽  
Quantum Quench ◽  
Xxz Chain ◽  
Linear Quantum

Pullback and Uniform Exponential Attractors for Nonautonomous Boussinesq Lattice System

2015 ◽  
Vol 25 (08) ◽  
pp. 1550100 ◽  
Author(s):  
Min Zhao ◽  
Shengfan Zhou
Keyword(s):  
Dynamical System ◽  
Boussinesq Equations ◽  
Lattice System ◽  
Time Dependent ◽  
Pullback Attractor ◽  
Exponential Attractor ◽  
Uniform Attractor ◽  
Exponential Attractors ◽  
Lattice Dynamical System ◽  
External Forces

We first prove the existence of a pullback attractor and a pullback exponential attractor for a nonautonomous lattice dynamical system of nonlinear Boussinesq equations affected by time-dependent coupled coefficients and forces. Then, we prove the existence of a uniform attractor and a uniform exponential attractor for the system driven by quasi-periodic external forces.

scholarly journals Time Dependent Problems of Scattering in Linear Lattice System

1965 ◽  
Vol 34 (2) ◽  
pp. 313-314
Author(s):  
Hideki Sabata ◽  
Hiroshi Nakazawa ◽  
Ei Teramoto
Keyword(s):  
Lattice System ◽  
Time Dependent ◽  
Linear Lattice ◽  
Time Dependent Problems
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