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Seminars & Lectures

* TITLE

Matrix product states for computation of the ground states and the time evolution

* SPEAKERS

Name	Affiliation	E-mail
Ippei Danshita	Kyoto Univ.	danshita(at)yukawa.kyoto-u.ac.jp

* HOST(Applicant)

Name	Affiliation	E-mail
Jiyong Bak	APCTP	jybak(at)apctp.org

* DATE / TIME

2013-04-17, 10AM-12PM, 13:30PM-15:30PM, 16:00PM-18:00PM

* ABSTRACT

A matrix-product state (MPS) is a useful tool to describe a many-body wave function of a quantum lattice system, especially the ground states and the time evolution for a given Hamiltonian, and has been successfully applied to problems in a wide range of physics fields. In this lecture, I will explain basic ideas of MPS and how one can practically use the MPS description for solving quantum many-body problems. A major goal of the lecture is to make it possible for the students to implement a MPS numerical code by themselves. The contents of the lecture is as follows:
1. Introduction: Necessity of an efficient numerical method
2. Graphical notation of tensors
3. Matrix product state and matrix product operator
4. Time evolution
5. Ground state
6. Exact diagonalization of a sparse matrix
7. Applications
8. Outlook

Notice that the lecture is partially based on Ref. [1].
[1] Ulrich Schollwock, Annals of Physics 326, 96 (2011).

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