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Hatano Lab
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A lab in the fundamental theory of condensed matter physics that uses models and theory to reproduce phenomena in which many degrees of freedom are intertwined.
AboutAbout the lab
Reproducing intertwined phenomena through theory
The Hatano Lab focuses on the fundamental theory of condensed matter physics, statistical physics, and the foundations of quantum mechanics.
Many phenomena around us arise from large numbers of degrees of freedom interacting with one another.
The lab builds models that abstract such many-degree-of-freedom systems and, using statistical mechanics, field theory, and computer simulation, aims to reproduce real phenomena through theory.
The lab does not fix specific research themes; its goal is research that opens up new fields.
Key terms
- Non-Markovianity
- The property that a system's time evolution depends not only on its present state but also on its past states
- Non-Hermitian
- Describes a quantum-mechanical Hamiltonian that does not satisfy the usual condition (Hermiticity). Its energies can be complex numbers
- Anderson localization
- A phenomenon in materials with many impurities in which electron waves are scattered and can no longer spread, so that electric current does not flow
NewsLab news
A student was selected as an Outstanding Presenter at a session of the Young Researchers' Summer School on Condensed Matter Physics
Professor Naomichi Hatano received the Prize for Science and Technology in the FY2025 (Reiwa 7) Commendation for Science and Technology by the Minister of Education, Culture, Sports, Science and Technology
A student received the top award at the UTokyo-IIS Research Collaboration Initiative Award
A paper by a third-year student in the Department of Physics who works in the lab was featured in JPS Hot Topics
A student received the Young Researcher Poster Award at Quantum Innovation 2023
ResearchResearch themes
The lab investigates models that abstract many-degree-of-freedom systems, using statistical mechanics, field theory, and computer simulation, with the aim of reproducing real phenomena through theory. Recently, it has been working on nonequilibrium statistical physics, open quantum systems, and complex systems.
*Illustrative imageTime evolution of quantum systems and non-Markovianity
The time evolution of a quantum system interacting with its surroundings depends on the system's past states (non-Markovianity). The lab analytically investigates how the states of the surroundings and past states affect time evolution in systems on a lattice in which nearby sites interact with one another.
*Illustrative imageEigenvalues of open quantum systems
The lab determines the eigenvalues of the Liouvillian, which generates the dynamics of the density matrix, for concrete models in infinitely large systems. The research proceeds on the expectation that the complex eigenvalues correspond to the relaxation time from nonequilibrium to equilibrium.
*Illustrative imageAnderson localization seen through non-Hermitian models
To study Anderson localization, in which electron waves can no longer spread because of impurities, the lab proposed a new model in which the Hamiltonian is deliberately made non-Hermitian. The complex eigenvalues of this model reveal how electrons are localized.
*Illustrative imageFinding network communities with quantum walks
The lab studies methods for finding communities (clusters) in complex networks using quantum walks. Numerical calculations show that a quantum walker stays within the community where it starts, and the lab believes this allows communities to be detected more clearly than with classical random walks.
MembersFaculty
- ProfessorNaomichi HatanoPublications ↗
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Report an errorAbout the images
The top and research theme images are illustrative and were not taken at the lab. They are cropped from Wikimedia Commons images. Cropped CC BY-SA images are provided under the same CC BY-SA license as the original (version shown on each line).
- Top image: “Community det” Monitha Nimmagadda / CC0 (cropped)
- Time evolution of quantum systems and non-Markovianity: “Optical lattice ( )” National Institute of Standards and Technology / Public domain (cropped)
- Eigenvalues of open quantum systems: “Cavity Dephasing Simulation” DnLch / CC BY-SA 4.0 (cropped)
- Anderson localization seen through non-Hermitian models: “WF111-Anderson transition-multifractal” RudoRoemer / CC BY-SA 3.0 (cropped)
- Finding network communities with quantum walks: “One dimensional quantum random walk” shoyer / CC BY-SA 3.0 (cropped)
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