Density-matrix renormalization for model reduction in nonlinear dynamics
نویسندگان
چکیده
منابع مشابه
Density Matrix Renormalization
The Density Matrix Renormalization Group (DMRG) has become a powerful numerical method that can be applied to low-dimensional strongly correlated fermionic and bosonic systems. It allows for a very precise calculation of static, dynamic and thermodynamic properties. Its field of applicability has now extended beyond Condensed Matter, and is successfully used in Statistical Mechanics and High En...
متن کاملDensity matrix renormalization group for 19-vertex model
We embody the density matrix renormalization group method for the 19vertex model on a square lattice; the 19-vertex model is regarded to be equivalent to the XY model for small interaction. The transfer matrix of the 19-vertex model is classified by the total number of arrows incoming into one layer of the lattice. By using this property, we reduce the dimension of the transfer matrix appearing...
متن کاملDensity Matrix Renormalization Group for Dummies
We describe the Density Matrix Renormalization Group algorithms for time dependent and time independent Hamiltonians. This paper is a brief but comprehensive introduction to the subject for anyone willing to enter in the field or write the program source code from scratch. An open source version of the code can be found at: http://qti.sns.it/dmrg/phome.html .
متن کاملDensity-matrix renormalization group algorithms
The Density Matrix Renormalization Group (DMRG) was developed by White [1, 2] in 1992 to overcome the problems arising in the application of real-space renormalization groups to quantum lattice many-body systems in solid-state physics. Since then the approach has been extended to a great variety of problems in all fields of physics and even in quantum chemistry. The numerous applications of DMR...
متن کاملThe density-matrix renormalization group
The density-matrix renormalization group sDMRGd is a numerical algorithm for the efficient truncation of the Hilbert space of low-dimensional strongly correlated quantum systems based on a rather general decimation prescription. This algorithm has achieved unprecedented precision in the description of one-dimensional quantum systems. It has therefore quickly become the method of choice for nume...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review E
سال: 2007
ISSN: 1539-3755,1550-2376
DOI: 10.1103/physreve.76.056707