Topological Quantum Phenomena in Condensed Matter with Broken Symmetries

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Muneto NITTA

Muneto NITTA

Associate Professor, Department of Physics at Hiyoshi, Research and Education Center for Natural Sciences, Keio University
Topics of Research:
Study of Topological Excitations based on the Methods in High Energy Physics

■ Description of Research [1051KB]

RESEARCH

I have been studying various topological excitations or defects in quantum field theories, especially supersymmetric gauge theories. Recently I have started to work on topological excitations in cold atomic gasses such as spinor Bose-Einstein condensates (BEC) or two components BECs. At the same time, I am studying vortices in color superconductors of quantum chromo dynamics at high baryon density. I am trying to construct a physics of vortices and solitons as a subject which interpolate condensed matter physics, high energy physics and hadron physics.

In this project "Topological Quantum Phenomena in Condensed Matter with Broken Symmetries", I will pursue several aspects of topological quantum phenomena. There exist non-Abelian vortices in the cyclic phase of spin 2 BECs. First I will study dynamics of these vortices and will investigate a possibility of non-Abelian quantum turbulence. In the nematic phase of spin 2 BEC, there appear a new type of modes called quasi-Nambu-Goldstone (QNG) modes, which have been known in high energy physics but not in condensed matter physics. Classification and stability of topological excitations are drastically changed in the presence of QNG modes. I will construct a physics of QNG modes. I will also study D-branes in two component BECs, and will propose how to construct them in a laboratory. I will study a classification of topological excitations based on the Abe homotopy group. A technique to construct self-consistent solutions of the Bogoliubov-de-Gennes equation in one dimension has been developed. I will generalize this method to chiral p-wave superconductors or two dimensional systems. I will also pursue a possibility to realize supersymmetry in cold atomic gasses.

When multiple zero energy Majorana fermions are trapped in the core of vortices, a new type of non-Abelian exchange statistics is obtained, which is a tensor product of usual non-Abelian statistics and a Coxeter group. Theoretically such vortices are known to exist in color superconductors. I will pursue to realize this new non-Abelian statistics in actual condensed matter systems, and will investigate a new possibility of topological quantum computations.

EDUCATION

1995
B.Sc. in Physics, Osaka University, Department of Physics
1997
M.S. in Physics, Osaka University, Department of Physics
2000
Ph.D. in Physics, Osaka University, Department of Physics

PROFESSIONAL EXPERIENCE

2000-2001
JSPS Postdoc Research Associate, Tokyo Institute of Technology
2001-2003
Postdoc Research Associate, Purdue University
2004-2006
JSPS Postdoc Research Associate, Tokyo Institute of Technology
2006-2009
Senior Assistant Professor Keio University
2009-Present
Associate Professor Keio University

SELECTION OF PUBLICATIONS

"Non-Abelian statistics of vortices with non-Abelian Dirac fermions",
Shigehiro Yasui, Yuji Hirono, Kazunori Itakura, Muneto Nitta
Phys. Rev. E
87, 052142 (2013)

"Self-consistent multiple complex-kink solutions in Bogoliubov-de Gennes and chiral Gross-Neveu systems",
Daisuke A. Takahashi, Muneto Nitta
Phys.Rev.Lett. 110, 131601 (2013)

"Tachyon Condensation Due to Domain-Wall Annihilation in Bose-Einstein Condensates",
Hiromitsu Takeuchi, Kenichi Kasamatsu, Makoto Tsubota, and Muneto Nitta,
Phys. Rev. Lett. 109, 245301 (2012). 

"Stable Skyrmions in SU(2) Gauged Bose-Einstein Condensates",
Takuto Kawakami, Takeshi Mizushima, Muneto Nitta, and Kazushige Machida,
Phys. Rev. Lett. 109, 015301(2012).

"Non-Abelian statistics of vortices with multiple Majorana fermions",
Yuji Hirono, Shigehiro Yasui, Kazunori Itakura, Muneto Nitta,
Phys.Rev.B 86:014508 (2012).

"Dirac returns: Non-Abelian statistics of vortices with Dirac fermions",
Shigehiro Yasui, Kazunori Itakura, Muneto Nitta
Nucl.Phys. B 859, 261-268 (2012)

"Majorana meets Coxeter: Non-Abelian Majorana Fermions and Novel Non-Abelian Statistics",
Shigehiro Yasui, Kazunori Itakura, Muneto Nitta,
Phys.Rev.B 83:134518 (2011).

"Quasi-Nambu-Goldstone Modes in Bose-Einstein Condensates",
Shun Uchino, Michikazu Kobayashi, Muneto Nitta, Masahito Ueda,
Phys.Rev.Lett. 105:230406 (2010).

"Collision Dynamics and Rung Formation of Non-Abelian Vortices",
Michikazu Kobayashi, Yuki Kawaguchi, Muneto Nitta, Masahito Ueda,
Phys.Rev.Lett. 103:115301 (2009).

"Knots in a Spinor Bose-Einstein Condensate",
Yuki Kawaguchi, Muneto Nitta, Masahito Ueda,
Phys.Rev.Lett. 100:180403,2008; Erratum-ibid.101:029902 (2008).

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