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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Improved error estimates of the splitting methods for the long-time dynamics for the weakly nonlinear Schrodinger equations
弱非线性薛定谔方程 长时间动力学 分裂方法 误差估计
2023/4/21
We establish improved uniform error bounds for the time-splitting methods for the long-time dynamics of the nonlinear Schr\"odinger equation (NLSE) with weak nonlinearity. By a new technique of regula...
Comparison of analytical and numerical methods and the effect of bath coupling on the quantum decoherence
comparison analytical and numerical methods quantum decoherence
2010/11/8
The dynamics of a qubit in a structured environment is investigated theoretically. One point of view of the model is the spin-boson model with a Lorentz shaped spectral density. An alternative view is...
Instantonic Methods for Quantum Tunneling in Finite Size
Path Integral Methods Finite Size Systems Instantons
2010/7/8
The instantonic approach for a f4 model potential is reexamined in the asymptotic limit. The path integral of the system is derived in semiclassical approximation expanding the action around the class...
Histogram Methods for Quantum Systems: from Reweighting to Wang-Landau Sampling
Histogram Methods Quantum Systems Wang-Landau Sampling
2010/10/19
We discuss how reweighting and histogram methods for classical systems can be generalized to quantum models for discrete and continuous time world line simulations, and the stochastic series expansion...
An Introduction to Numerical Methods in Low-Dimensional Quantum Systems
Numerical Methods Low-Dimensional Quantum Systems
2010/10/27
This is an introductory course to the Lanczos Method and Density Matrix Renormalization Group Algorithms (DMRG), two among the leading numerical techniques applied in studies of low-dimensional quantu...