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A Bloch decomposition based split-step pseudo spectral method for quantum dynamics with periodic potentials
Schrodinger equation Bloch decomposition time-splitting spectral method semiclassical asymptotics lattice potential
2012/5/24
We present a new numerical method for accurate computations of solutions to (linear) one dimensional Schr\"odinger equations with periodic potentials. This is a prominent model in solid state physics ...
An O(N) Method for Rapidly Computing Periodic Potentials Using Accelerated Cartesian Expansions
Accelerated Cartesian Expansion ACE Fast Multipole Methods Periodic Systems
2011/8/4
Abstract: The evaluation of long-range potentials in periodic, many-body systems arises as a necessary step in the numerical modeling of a multitude of interesting physical problems. Direct evaluation...
The phenomenon of stochastic resonance (SR) is known to occur mostly in bistable systems.
However, the question of occurrence of SR in periodic potential systems is not conclusively resolved.Our pres...
Anomalous Bloch oscillations in one dimensional parity-breaking periodic potentials
Anomalous Bloch oscillations dimensional parity-breaking periodic potentials
2010/11/19
We investigate the dynamics of a wave packet in a parity-breaking one-dimensional periodic
potential slowly varied in time and perturbed by a linear potential. Parity is broken by considering an asym...
Collective Directional Transport in Symmetric Periodic
Potentials by Breaking the Coupling Symmetry
directional transport mode locking stochastic resonance
2007/8/15
2003Vol.39No.5pp.549-554DOI:
Collective Directional Transport in Symmetric Periodic
Potentials by Breaking the Coupling Symmetry
LI Xiao-Wen and ZHENG Zhi-Gang
Departme...
专著信息
书名
A Bloch decomposition based numerical method for quantum dynamics in periodic potentials,
语种
英文
撰写或编译
作者
Z.Y. Huang,S. Jin,P.A. Markowich,C. Sparber
第一作者单位
出版社
SIAM J Scientific Computing, sub...