物理系学术报告       Physics Department Colloquium

 

91316:00-17:0012-201

 

 

 

Quantum-Classical Correspondences in Statistical Physics and Material Sciences

Prof. Masuo Suzuki

Department of Applied Physics, Tokyo University of Science

 

 

Abstract

 

Quantum systems are described by non-commutative operators whose treatments are rather difficult compared to c-numbers. This is particularly serious in performing computer simulations of quantum systems. A general scheme to transform a quantum system to the corresponding classical one was proposed by the speaker in 1976, using the so-called Suzuki-Trotter transformation. This scheme yields the basis of the quantum Monte Carlo Method. In 1990, general higher-order exponential product formulas were discovered using the recursive method based on the quantum analyses [1] . These give very precise calculation schemes even for symplectic integrators as well as in quantum simulations. Recently, these quantum-classical correspondences are found to be useful in solving exactly master equations of classical non-equilibrium systems and also in studying quantum information problems. The basic ideas of these theories and their applications to statistical physics and condensed matter physics will be explained in the talk.

 

[1] Non-commutative differential and Integral calculi, Masuo Suzuki, Commun.Math.Phys.183(1997)pp.339-363.

 

 

 

Masuo Suzuki教授简介:

Education

·  Bachelor of Science, University of Tokyo, 1961

·  Master of Science, University of Tokyo, 1963

·  Doctor of Science, University of Tokyo, 1966

Professional Experience

·  1966-1968: Research Associate, Department of Physics, University of Tokyo

·  1968-1973: Associate Professor, Institute of Solid State Physics, University of Tokyo

·  1973-1983: Associate Professor, Department of Physics, University of Tokyo

·  1983-1997: Professor, Department of Physics, University of Tokyo

·  1997-present: Professor, Department of Applied Physics, Science University of Tokyo

·  1969-1970: ResearchAssociate, Baker Laboratory, Cornell University

·  1970-1971: Visiting Professor, University of Ultrecht

·  1977: Visiting Professor, University of Alberta and Harvard UNiversity

·  1984-1990: Committee member of Thermodynamics and Statistical Mechanics, IUPUP

·  1986-1990: Science Counselor of the Ministryof Education, Science and Culture

·  1987-1989: Committee Member of Europalia-Japan Festival

·  1988-1996 : Senator of the Nishina Foundation

·  1996-present: Excecutive Director

·  1990-1993: Senator of University of Tokyo

·  1996- : Executive Director of the Nishina Foundation

·  1997- : Professor, Department of Applied Physics, Faculity of Science, Science University of Tokyo

·  1999- : NASDA research system adviser

·  1999-2000 : Vice President of Physical Society of Japan

·  2000- President of Physcal Society of Japan

 

Editorial

·  Served as Editor for several scientific journals in the world (J.Stat. Phys., J. Phys. Soc. Jpn, Physica, Canada. J. Phys., PhaseTransitions, Int. J. Mod. Physics)

Publications

·  over 400 research papers,

Books

·  Statistical Mechanics, (Iwanami, 1994; to be translated by Springer-Verlag)

·  Selected Papers of Professor Masuo Suzuki (Japan, 1997)

·  Path Integral Methods (with T. Kashiwa, Y. Ohnuki), (Oxford Science Publications,1997)

·  Coherent Anomaly Method: mean field fluctuations and systematics (with X. Hu, N. Hatano, M. Katori, K. Minami, A. Lipowski, Y. Nonomura), (World Scientific, 1995)

·  Several edited proceedings

Awards

·  Matsunaga Prize, 1978

·  Nishina Prize, 1986

·  Inoue Prize, 1987

·  Toray Prize, 1989

·  Humboldt Research Award, 1995

·  Medal of Purple Ribbon, 1998