A new paradigm of non-Hermitian quantum mechanics

  • 1.5 Quantum interdisciplinary sciences(Life science, Mathematics, Particle physics, Space science, Astronomy, Quantum gravity, etc.)
  • 2.3 Quantum materials(Topological materials/Thermoelectric devices/Functional materials)
Naomichi Hatano
Institute of Industrial Science
Department of Fundamental Engineering Professor
We pursue novel phenomena theoretically by generalizing the Hamiltonian, which is set to be a Hermitian operator in the standard quantum mechanics, to a non-Hermitian one.
We also try to propose experiments that possibly confirms non-Hermitian quantum mechanics.
A classical statistical-mechanical model from which Hatano introduced a non-Hermitian quantum system in 1996. A type-II superconductor contains columnar defects and magnetic flux.
N. Hatano and D.R. Nelson, Physical Review Letters, Vol. 77, pp. 570 (1996)
The complex density of states of a random non-Hermitian system that models a neural network.
A. Amir, N. Hatano and D.R. Nelson, Physical Review E, Vol. 93, No. 042310 (2016)

Related links

Research collaborators

  • Gonzalo Ordonez (Butler University, U.S.A.)
  • Joshua Feinberg (University of Haifa, Israel)

Related publications

  • N. Hatano and D.R. Nelson, Physical Review Letters, Vol. 77, pp. 570 (1996)
  • N. Hatano and G. Ordonez, Journal of Mathematical Physics, Vol. 55, No. 122106 (2014)
  • N. Hatano and J. Feinberg, Physical Review E, Vol. 94, No. 063305 (2016)


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