Matrix product operators, matrix product states, and ab initio density matrix renormalization group algorithms
نویسندگان
چکیده
منابع مشابه
Matrix product operators, matrix product states, and ab initio density matrix renormalization group algorithms.
Current descriptions of the ab initio density matrix renormalization group (DMRG) algorithm use two superficially different languages: an older language of the renormalization group and renormalized operators, and a more recent language of matrix product states and matrix product operators. The same algorithm can appear dramatically different when written in the two different vocabularies. In t...
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In this paper we give an introduction to the numerical density matrix renormalization group (DMRG) algorithm, from the perspective of the more general matrix product state (MPS) formulation. We cover in detail the differences between the original DMRG formulation and the MPS approach, demonstrating the additional flexibility that arises from constructing both the wavefunction and the Hamiltonia...
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The ab-initio density matrix renormalization group (DMRG) is a tool that can be applied to a wide variety of interesting problems in quantum chemistry. Here, we examine the density matrix renormalization group from the vantage point of the quantum chemistry user. What kinds of problems is the DMRG well-suited to? What are the largest systems that can be treated at practical cost? What sort of a...
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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...
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ژورنال
عنوان ژورنال: The Journal of Chemical Physics
سال: 2016
ISSN: 0021-9606,1089-7690
DOI: 10.1063/1.4955108