The SNU Physics and IBSCCES will cohost Distinguished Lecture Series to provide the information on innovative research and fundamental physics knowledge to graduate students and researchers.
The second lecturer will be Prof. Masaki Oshikawa who is an expert in the theory for strongly correlated manybody systems, from Institute for Solid State Physics (ISSP), University of Tokyo, Japan.
Prof. Masaki Oshikawa has been a professor at ISSP, University of Tokyo since 2006, and also has been a senior scientist of Kavli Institute for the Physics and Mathematics of the Universe (Kavli IPMU) since 2016. Prof. Oshikawa¡¯s main research interest is ¡°Field theoretical approach to strongly correlated quantum many body systems¡±. He made various important achievement in the theoretical study of strongly correlated manybody systems. Thus, the SNU Physics and IBSCCES has decided to host Prof. Oshikawa as the second lecturer of the Distinguished Lecture Series. The lectures will cover the basics of many body physics as well as the result of latest research (see attached for detailed information).
We hope that this will be the valuable opportunity for graduate students and researchers.
Head of Department of Physics & Astronomy, Heonsu Jeon / Director of IBSCCES, Tae Won Noh
SNU Physics/IBSCCES Distinguished Lecture Series 2019.03.18.21. (10am12pm , 1:30pm–3:30pm)
Seoul National University
¡°Field theoretical approach to strongly correlated quantum many body systems¡±
by Prof. Masaki Oshikawa (ISSP, University of Tokyo)
Lecture I (03.18, Mon, Bldg. 251, International conference room)
Bosonization of 1D systems and TomonagaLuttinger Liquid
Bosonization approach to "Haldane gap" Lecture Video 18 PM
Lecture II (03. 19, Tue, Bldg. 251, International conference room)
Commensurability and LiebSchultzMattis theorem Lecture Video 19 AM
Bulkboundary correspondence Lecture Video 19 PM
Lecture III (03. 20, Wed, Bldg. 500 Mokam Hall)
Chiral anomaly and condensed matter physics Lecture Video 20 AM
Polarization of quantum manybody systems Lecture Video 20 PM
Lecture IV (03.21, Thu, Bldg. 251, International conference room)
Anomaly and symmetryprotected topological phases Lecture Video 21 AM
Towards a systematic understanding of gapless critical phases Lecture Video 21 PM
(Detailed plan of lecture series is subject to change.)
The abstract for the whole lecture series is as follows.
While strongly correlated quantum manybody problems cannot be solved exactly in general, their universal behaviors in the lowenergy limit are often described by field theory. I will illustrate this intriguing connection using quantum spin chains as an example. A wide range of quantum manybody systems in one spatial dimension, including quantum spin chains, can be mapped to a relativistic field theory of bosons, which is also known as TomonagaLuttinger Liquid (TLL) with possible perturbations. Following Haldane's original (and longforgotten) argument, I will show that the difference in the possible perturbations to the TLL leads to the fascinating difference between integer and halfoddinteger spin quantum number, known as "Haldane conjecture". The difference can be understood as a consequence of LiebSchultzMattis theorem, which reflects the (in)commensurability of the particle number with the periodic lattice structure. The LiebSchultzMattis theorem for the lattice model implies an "anomaly" of the corresponding field theory. While these connections would be most clearly understood in one spatial dimension, they have been extended to higher dimensions. I will discuss extensions of LiebSchultzMattis theorem in higher dimensions and its implications on field theory, and more generally the relevance of anomaly in field theories to condensed matter physics.
