Tanaka, Atushi

J-GLOBAL         Last updated: Apr 6, 2019 at 13:21
 
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Name
Tanaka, Atushi
URL
http://www.comp.tmu.ac.jp/tanaka_atushi/
Affiliation
Tokyo Metropolitan University
Section
Graduate School of Science and Engineering Department of Physics
Job title
Assistant Professor
Research funding number
20323264
Google Analytics
UA-20741013-2
ORCID ID
0000-0002-1070-6336

Profile

Adiabatic cycles may induce nontrivial changes in quantum systems. A famous example is Berry's phase, which is also called as a phase holonomy. Besides, (quasi-)eigenenergies and eigenspaces of stationary states also exhibit nontrivial change, which is referred to as exotic quantum holonomy. I am investigating this phenomenon in various physical systems, and seeking its topological structure.

Research Areas

 
 

Published Papers

 
Atushi Tanaka and Taksu Cheon
Functional Analysis and Operator Theory for Quantum Physics. A Festschrift in Honor of Pavel Exner, eds.J. Dittrich, H. Kovařík, A. Laptev (EMS Publ. House)   531-542   May 2017   [Refereed][Invited]
An adiabatic time evolution of a closed quantum system connects eigenspaces of initial and final Hermitian Hamiltonians for slowly driven systems, or, unitary Floquet operators for slowly modulated driven systems. We show that the connection of...
Atushi Tanaka and Taksu Cheon
New Journal of Physics   18 45023-1-45023-7   Apr 2016   [Refereed][Invited]
We show that an adiabatic cycle excites Bose particles confined in a one-dimensional box. During the adiabatic cycle, a wall described by a Tex-shaped potential is applied and its strength and position are slowly varied. When the system is...
Sho Kasumie, Manabu Miyamoto and Atushi Tanaka
Physical Review A   93(4) 042105-1-042105-5   Apr 2016   [Refereed]
It is shown that adiabatic cycles excite a quantum particle, which is confined in a one-dimensional region and is initially in an eigenstate. During the cycle, a Tex-wall is applied and varied its strength and position. After the completio...
Atushi Tanaka and Taksu Cheon
Physics Letters A   379(30-31) 1693-1698   Sep 2015   [Refereed]
A topological formulation of the eigenspace anholonomy, where eigenspaces are interchanged by adiabatic cycles, is introduced. The anholonomy in two-level systems is identified with a disclination of the director (headless vector) of a Bloch vecto...
Atushi Tanaka, Sang Wook Kim and Taksu Cheon
Physical Review E   89(4) 42904-1-42904-8   Apr 2014   [Refereed]
The correspondence between exotic quantum holonomy that occurs in families of Hermitian cycles, and exceptional points (EPs) for non-Hermitian quantum theory is examined in quantum kicked tops. Under a suitable condition, an explicit expressions o...
Atushi Tanaka, Nobuhiro Yonezawa and Taksu Cheon
Journal of Physics A: Mathematical and Theoretical   46(31) 315302-1-315302-17   Jul 2013   [Refereed]
An interplay of an exotic quantum holonomy and exceptional points is examined in one-dimensional Bose systems. The eigenenergy anholonomy, in which Hermitian adiabatic cycle induces nontrivial change in eigenenergies, can be interpreted as a manif...
Nobuhiro Yonezawa, Atushi Tanaka and Taksu Cheon
Physical Review A   87(6) 062113-1-062113-6   Jun 2013   [Refereed]
We examine a parametric cycle in the N-body Lieb-Liniger model that starts from the free system and goes through Tonks-Girardeau and super-Tonks-Girardeau regimes and comes back to the free system. We show the existence of exotic quantum holonomy,...
Akiyuki Ishikawa, Atushi Tanaka, Kensuke S. Ikeda and Akira Shudo
Physical Review E   86(3) 036208-1-036208-14   Sep 2012   [Refereed]
The role of diffraction is investigated for two-dimensional area-preserving maps with sharply or almost sharply divided phase space, in relation to the issue of dynamical tunneling. The diffraction effect is known to appear in general when the sys...
Atushi Tanaka, Taksu Cheon and Sang Wook Kim
Journal of Physics A: Mathematical and Theoretical   45(33) 335305-1-335305-20   Jul 2012   [Refereed]
A set of gauge invariants are identified for the gauge theory of quantum anholonomies, which comprise both the Berry phase and an exotic anholonomy in eigenspaces. We examine these invariants for hierarchical families of quantum circuits whose qub...
Atushi Tanaka
Journal of the Physical Society of Japan   80(12) 125002-1-125002-2   Nov 2011   [Refereed]
A proof of the adiabatic theorem for quantum systems whose time evolution proceeds along discrete time, e.g., quantum maps and quantum circuits, is shown.

Conference Activities & Talks

 
Atushi Tanaka
Quantum Thermodynamics : Thermalization and Fluctuations   28 Sep 2017   

Misc

 
Atushi Tanaka and Taksu Cheon
BUTSURI   72(4) 240-245   Apr 2017   [Refereed][Invited]
Several examples of systems that exhibits exotic quantum holonomy are reviewed. Related theoretical works are briefly explained.

Research Grants & Projects

 
Ministry of Education, Culture, Sports, Science and Technology: Grants-in-Aid for Scientific Research(基盤研究(C))
Project Year: Apr 2006 - Mar 2009    Investigator(s): Akira SHUDO

Association Memberships

 
 

Academic & Professional Experience

 
Apr 2018
 - 
Today
Assistant Professor, Department of Physics, Tokyo Metropolitan University