Faculty Members

LANGUAGE ≫ Japanese


Areas of specialization Sociophysics
Laboratory/research office Theoretical Physics Laboratory
Theoretical physics is an attempt to describe and understand all aspects of the world which is accessible by human intelligence with the use of mathematical language. In our laboratory, we place our focus on the research of quantum mechanics, which possesses many counter-intuitive characteristics. In particular, we are interested in the phenomenon of "quantum anomaly" which manifest itself in the physics of "quantum graph" and "quantum network", that are artificially manufactured microscopic low dimensional systems. This research is supposed to pave the way to the direct control of quantum particles and resultant realization of quantum devices.
Current research topics
Educational background
Professional background
Academic societies

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* Courses provided in English are shown with (E) mark

Undergraduate school
  • Quantum Mechanics
  • Introductory Physics
  • Fundamental View of Global Society
  • Environmental Simulation Science
Graduate school

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Research activities

Research papers
  1. Authors: Axel Pérez-Obiol, Juan Polo, Takuju Zen
    Title: Current production in ring condensates with a weak link
    Journal: Physical Review A, Vol. 102, No. 12, pp. 063302-(9pp), American Physical Society
    Year: 2020
  2. Authors: Serge Galam, Takuju Zen
    Title: Tipping point dynamics: a universal formula
    Journal: Frontiers in Physics, Vol. 8, No. 11, pp. 566580- (11pp), Frontiers Media
    Year: 2020
  3. Authors: Atushi Tanaka, Takaaki Nakamura, Takuju Zen
    Title: Generating a nonequilibrium stationary state from a ground-state condensate through an almost adiabatic cycle
    Journal: Physical Review A, Vol. 102, No. 7, pp. 013308-(8pp), American Physical Society
    Year: 2020
  4. Authors: Axel Perez Obiol Castaneda, Takuju Zen
    Title: Stationary real solutions of the nonlinear Schrödinger equation on a ring with a defect
    Journal: Journal of Physical Society of Japan, Vol. 88, No. 2, pp. 126001-(7p), 日本物理学会
    Year: 2019
  5. Authors: Takaaki Nakamura, Takuju Zen
    Title: Spectral properties of nonlinear Schr"odinger equation on a ring
    Journal: J. Phys. Soc. Jpn, Vol. 86, pp. 114001-(5pp), 日本物理学会
    Year: 2018
  6. Authors: Serge Galam, Takuju Zen
    Title: Dynamical Galam model
    Journal: Physics Letters A, Vol. 382, No. 1, pp. 1509-1515, Elsevier
    Year: 2018
  7. Authors: Takuju Zen, Sergey S. Poghosyan
    Title: Spiral orbits and oscillations in historical evolution of empires
    Journal: Physica A, Vol. 469, pp. 353-362, Elsevier
    Year: 2017
  8. Authors: Atushi Tanaka, Takuju Zen
    Title: Path topology dependence of adiabatic time evolution
    Journal: Functional Analysis and Operator Theory for Quantum Physics. A Festschrift in Honor of Pavel Exner, European Mathematical Society
    Year: 2016
  9. Authors: Atushi Tanaka, Takuju Zen
    Title: Complete population inversion of Bose particles by an adiabatic cycle
    Journal: New Journal of Physics, Vol. 18, pp. 045023-(7pp), IOP Science
    Year: 2016
  10. Authors: Takuju Zen, Jun Morimoto
    Title: Balancer effects in opinion dynamics
    Journal: Physics Letters A, Vol. 380, pp. 429-434, Elsevier
    Year: 2016
  11. Authors: Takuju Zen
    Title: Graphical representation of marginal and underlying probabilities in quantum mechanics
    Journal: Journal of Korean Physical Society, Vol. 67, pp. 777-784, Springer
    Year: 2015
  12. Authors: Takuju Zen, Srgey Poghosyan
    Title: Asymmetric quantum transport in a double-stranded Kronig-Penney model
    Journal: Journal of Japanese Physical Society, Vol. 84, pp. 064006-(8pp), 日本物理学会
    Year: 2015
  13. Authors: Atushi Tanaka, Takuju Zen
    Title: Bloch vector, disclination and exotic quantum holonomy
    Journal: Physics Letters A, Vol. 379, pp. 1693-1698, Elsevier
    Year: 2015
  14. Authors: Ondrej Turek, Takuju Zen
    Title: Hermitian unitary matrices with modular permutation symmetry
    Journal: Linear Algebra & its Applications, Vol. 469, pp. 569-593, Elsevier Publishing
    Year: 2015
  15. Authors: SERGEY Poghosyan, Takuju Zen
    Title: Quantum graph vertices with minimal number of passbands
    Journal: Journal of Physical Society of Japan, Vol. 83, pp. 044004(1)-044004(18, Physical Society of Japan
    Year: 2014
  16. Authors: Atushi Tanaka, Sang Wook Kim, Takuju Zen
    Title: Exotic quantum holonomy and higher-order exceptional points in quantum kicked tops
    Journal: Physical Review E, Vol. 89, pp. 042904(1)-042904(8), American Physical Society
    Year: 2014
  17. Authors: Takuju Zen, Atushi Tanaka, Ondrej Turek
    Title: Quantum anholonomy with topology change
    Journal: Acta Polytechnica (Prague) , Vol. 53, pp. 410-415, Czech Acad. Sci.
    Year: 2013
  18. Authors: Atushi Tanaka, Nobuhiro Yonezawa, Takuju Zen
    Title: Exotic quantum holonomy and non-Hermitian degeneracies in two-body Lieb-Liniger model
    Journal: J. Phys. A: Math. Theor., Vol. 46, pp. 315302-(17pp), IOP
    Year: 2013
  19. Authors: Nobuhiro Yonezawa, Atushi Tanaka, Takuju Zen
    Title: Quantum holonomy in Lieb-Liniger model
    Journal: Phys. Rev. A, Vol. 87, pp. 062113-(6pp), APS
    Year: 2013
  20. Authors: Ondrej Turek, Takuju Zen
    Title: Quantum graph as a quantum spectral filter
    Journal: J. Math. Phys., Vol. 54, pp. 032104-(17pp), AIP
    Year: 2013
  21. Authors: Ondrej Turek, Takuju Zen
    Title: Potential-controlled filtering in quantum star graphs
    Journal: Annals of Physics (NY), Vol. 330, pp. 104-141, Elsevier
    Year: 2013
  22. Authors: Taiki Takahashi, Takuju Zen
    Title: A nonlinear neural population coding theory of quantum cognition and decision making
    Journal: World Journal of Neuroscience, Vol. 2, No. 4, pp. 183-186, Scientific Research Publishing
    Year: 2012
  23. Authors: Takuju Zen, Taiki Takahashi
    Title: Quantum phenomenology of conjunction fallacy
    Journal: J. Phys. Soc. Jpn, Vol. 81, pp. 104801-(5pp), 日本物理学会
    Year: 2012
  24. Authors: Atsushi Tanaka, Takuju Zen, Sang Wook Kim
    Title: Gauge invariants of eigenspace and eigenvalue anholonomies: examples in hierarchical quantum circuits
    Journal: Journal of Physics A: Mathematical and Theoretical, Vol. 45, pp. 335305-(20pp), IOP Publishing
    Year: 2012
  25. Authors: Takuju Zen
    Title: Reflectionless and equiscattering quantum graphs and their applications
    Journal: International Journal of System & Measurement, Vol. 5, pp. 34-44, IARIA Journals
    Year: 2012
  26. Authors: Ondrej TUREK, Takuju Zen
    Title: Threshold resonance and controlled filtering in quantum star graphs
    Journal: Europhysics Letters, Vol. 98, pp. 50005-(5pp), Elsevier
    Year: 2012
  27. Authors: Ondrej TUREK, Takuju Zen
    Title: Quantum graph vertices with permutation-symmetric scattering probabilities
    Journal: Physics Letters A, Vol. 375, pp. 3775-3780, Elsevier
    Year: 2011
  28. Authors: A.Tanaka, S.W. Kim, Takuju Zen
    Title: Eigenvalue and eigenspace anholonomies in hierarchical systems
    Journal: Europhysics Letters, Vol. 96, pp. 10005-(7pp)
    Year: 2011
  29. Authors: Takuju Zen, P. Exner, O. Turek
    Title: Inverse scattering problem for quantum graph vertices
    Journal: Phys. Rev. A, Vol. 83, pp. 062715-(4pp)
    Year: 2011
  30. Authors: Takuju Zen, T.Takahashi
    Title: Interference and inequality in quantum decision theory
    Journal: Physics Letters A, Vol. 375, pp. 100-104
    Year: 2010
  31. Authors: Takuju Zen, P.Exner, O.Turek
    Title: Tripartite connection condition for quantum graph vertex
    Journal: Physics Letters A, Vol. 375, pp. 113-118
    Year: 2010
  32. Authors: Takuju Zen
    Title: Short-range interaction in three-dimensional quantum mechanics
    Journal: Physics Letters A, Vol. 374, pp. 4585-4588
    Year: 2010
  33. Authors: Takuju Zen, O.Turek
    Title: Fulop-Tsutsui interactions on quantum graphs
    Journal: Physics Letters A, Vol. 374, pp. 4212-4221
    Year: 2010
  34. Authors: A.Tanaka, Takuju Zen
    Title: Quantum anholonomies in time-dependent Aharonov-Bohm rings
    Journal: Physical Review A, Vol. 82, pp. 022104-(6pp)
    Year: 2010
  35. Authors: Takuju Zen, P. Exner, O. Turek
    Title: Approximation of a general singular vertex coupling in quantum graphs, T. Cheon, P. Exner, O. Turek
    Journal: Ann. of Phys. (NY), Vol. 325, pp. 548-578
    Year: 2010
  36. Authors: S.W. Kim, Takuju Zen, A. Tanaka
    Title: Exotic quantum holonomy induced by degeneracy hidden in complex parameter space
    Journal: Phys. Lett. A 1958-1961, Vol. 374
    Year: 2010
  37. Authors: A. Tanaka, Takuju Zen
    Title:  Unified theory of quantum holonomy
    Journal: Ann. of Phys. (NY), Vol. 324, pp. 3240-3259
    Year: 2009
  38. Authors: Takuju Zen, A. Tanaka
    Title: New anatomy of quantum holonomy
    Journal: Europhys. Lett., Vol. 85, p. 20001
    Year: 2009
  39. Authors: Takuju Zen, P. Exner, O. Turek
    Title: Spectral filtering in quantum Y-junction
    Journal: J. Phys. Soc. Jpn., Vol. 78, p. 124004
    Year: 2009
  40. Authors: Takuju Zen, A. Tanaka, S.W. Kim
    Title: Exotic quantum holonomy in Hamiltonian systems
    Journal: Phys. Lett. A, Vol. 374, pp. 144-149
    Year: 2009
Invited lectures
  1. Game theory and "quantum" entanglement, KEK Workshop on "Weak value, Weak measurement and entanglement: New vista of quantum coherence", KEK, 2018
  2. Spectral properties of nonlinear Schrodinger equation on a ring, Physics Dept. Seminar, Uzbek National University, Uzbek National University, Tashkent, Uzbekistan, 2017
  3. Dynamical Galam model, International Conference "4rth Dynamics Days Central Asia", Bukhara, Uzbekistan, 2017
  4. Dynamical systems theory of public opinion, International Conference "Chaos, and what it can reveal", Hradec Kralove, Czechia, 2017
  1. Third Yayesu Grand Book prize, Yayesu Book Center, 2020
Grants-in-Aid for Scientific Research from the Japanese government
  1. Project title: Mathematical physics of exotic quantum holonomy
    Category: Grant-in-Aid for Scientific Research (C)
    Project number: 21540402
    Project period: 2009-2011
    Total budget amount: 4,550,000 yen
  2. Project title: Mathematical physics of singular vertices in quantum graphs
    Category: Grant-in-Aid for Scientific Research (C)
    Project number: 24540412
    Project period: 2012-2014
    Total budget amount: 5,200,000 yen
  3. Project title: Exotic quantum flux in quantum graph systems with band spectra
    Category: Grant-in-Aid for Scientific Research (C)
    Project number: 15K05216
    Project period: 2015-2017
    Total budget amount: 4,680,000 yen
  4. Project title: Mathematical physics of one-dimensional Bose-Einstein condensate control
    Category: Grant-in-Aid for Scientific Research (C)
    Project number: 21K03409
    Project period: 2021-2023
    Total budget amount: 4,160,000 yen

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Social activities

Committee roles
  1. Member of International Advisory Bord of Faculty of Science, U. of Hradec Kralove, University of Hradec Kralove, 2022

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