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Seminars & Lectures

* TITLE

Entanglement perturbation theory : a novel many-body method in statistical mechanics and strong correlation physics

* SPEAKERS

Name	Affiliation	E-mail
Prof. Sung Gong Chung	Western Michigan Univ., USA	sec(at)apctp.org

* HOST(Applicant)

Name	Affiliation	E-mail
-

* DATE / TIME

2009-06-03, 16:00

* PLACE

Science Bldg., 3-201

* ABSTRACT

Since the very beginning of quantum theory, to calculate the partition functions and solve the Schr?inger equation for macroscopic quantum systems have been a fundamental task of theoretical physics. It would not be an exaggeration to say that due to lack of such methods, a tremendous effort of theoretical physicists has been devoted to the evelopment of a variety of approximate methods and numerical simulations. While we have seen a considerable progress in rigorous treatment of quantum 1D and classical 2D systems over the last several decades, these rigorous methods cannot handle non-integrable models nor generalizable to higher dimensions. On the other hand, the method of numerical renormalization group has seen a remarkable success in quantum 1D systems and in finite Fermi systems.
However, in spite of a huge effort, this approach has not been quite successful for macroscopic 2D quantum systems, indicating the very idea of Hilbert space truncation breaks down in two dimensions. Over the recent years, we have been developing a novel many-body method, entanglement perturbation theory (EPT), for calculating partition functions and solve the Schr?inger equation, particularly in the strongly correlated condensed matter systems.
The method is simple, general, and exact. The current status of EPT is this:
(a) The ground states of 1D quantum systems with finite-range interactions and translational symmetry can be handled.
(b) The elementary excitation in 1D quantum systems can be calculated.
(c) The partition functions of 2,3D classical systems can be calculated.
(d) After a long struggle, we have started to see a clear evidence that EPT can also handle the quantum ground states in 2D.
In this talk, I will give an overview of this new theoretical endeavor: what was done, what is currently underway and what I am dreaming of.

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