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Mathematical Physics Lab
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The lab explores cooperative quantum phenomena in low-dimensional materials through theory and computation.
AboutAbout the lab
Exploring cooperative quantum phenomena hidden in low-dimensional materials
The Mathematical Physics Lab theoretically studies new cooperative quantum phenomena that emerge in low-dimensional materials, where the motion of particles is restricted.
Its targets include phenomena in which the charge and spin of electrons behave separately, and quantum tunneling of magnetization in small molecular magnets.
The lab takes two approaches: analytical calculations such as spin-wave theory, and large-scale numerical calculations such as quantum Monte Carlo methods.
Recently, topology and two-dimensional quasicrystals have also become key topics, and the lab is advancing research in collaboration with experimental groups.
Key terms
- Quantum tunneling
- A phenomenon in which a particle passes through an energy barrier by a quantum-mechanical effect. In molecular magnets, the direction of magnetization flips probabilistically.
- Spin-wave theory
- A theory that treats fluctuations of spins in a magnet as waves and calculates magnetic excitations. It began with Bloch in 1930.
- Photoinduced phase transition
- A phenomenon in which shining light switches the state of an entire material to another state, like falling dominoes.
- Soliton
- An isolated wave that propagates without changing its shape. In materials, it appears as an excitation that carries only spin or only charge.
NewsLab news
View More ↗ResearchResearch themes
In low-dimensional systems, where the spatial degrees of freedom of particles are restricted, quantum fluctuations have a strong effect on physical properties. The lab studies the mechanisms behind these new cooperative quantum phenomena specific to low dimensions, including the development of new methodologies, through theory and numerical computation.
*Illustrative imageObserving and Controlling Organic Conductors with Light
In organic conductors, where the number of electrons can be varied, density-wave states appear in which the distributions of charge and spin undulate. The lab develops theories for telling these states apart with light, and for photoinduced phase transitions, in which shining light changes the state all at once.
*Illustrative imageOrder and Ultrafast Photoreactions in Metal Complexes
In MX complexes, where metal and halogen atoms line up in one dimension, the lab uses group theory to predict striped patterns of charge, spin, and atomic arrangement. It also uses numerical calculations to visualize how excitations such as solitons, created by shining light, relax.
*Illustrative imageExtending Spin-Wave Theory to One and Zero Dimensions
To describe the diverse magnetic excitations of spin-gap systems and ferrimagnets, the lab is extending analytical methods such as spin-wave theory to one dimension and zero dimensions (single-molecule magnets). It also collaborates with an experimental lab working on nuclear magnetic resonance.
*Illustrative imageQuantum Magnetic Resonance and Spin Relaxation in Molecular Magnets
In nanoscale molecular magnets made of a small number of magnetic atoms, the lab investigates spin relaxation in which quantum tunneling and heat compete. It builds theories of this relaxation, as observed in nuclear magnetic resonance, using modified spin-wave theory and large-scale numerical diagonalization.
MembersFaculty
The Mathematical Physics Lab consists of faculty members and students in the doctoral, master's, and undergraduate programs.As of 2026
- ProfessorShoji Yamamoto
- Associate ProfessorJun Ohara
- Assistant ProfessorTen Inoue
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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: “Penrose tiling in CC-3, IIIT Allahabad” Deepak Purti / CC BY-SA 4.0 (cropped)
- Observing and Controlling Organic Conductors with Light: “Polyacetylene-3D-balls” Ben Mills and Jynto / Public domain (cropped)
- Order and Ultrafast Photoreactions in Metal Complexes: “Femtosecond laser filament” Onlywww / CC BY 4.0 (cropped)
- Extending Spin-Wave Theory to One and Zero Dimensions: “Spin wave” Jacopo Bertolotti / CC0 (cropped)
- Quantum Magnetic Resonance and Spin Relaxation in Molecular Magnets: “Struktur SMM-Mn12” Orci / CC BY-SA 3.0 (cropped)
- Related lab (Low-Dimensional Materials Physics Lab): “900 magnet new” Speeding Cars at English Wikipedia / CC BY-SA 3.0 (cropped)
- Related lab (Statistical Physics Lab): “Geometric Frustration and Spin Correlated Disorder on a Hexagonal Lattice” Dxz2019 / CC BY-SA 4.0 (cropped)
- Related lab (Quantum Condensed Matter Physics Lab): “Thin section scan crossed polarizers Siilinjärvi R edit” kallerna / CC BY-SA 4.0 (cropped)
- Related lab (Theoretical Astrophysics Lab): “The spiral galaxy NGC 941 photographed by the Hubble Space Telescope” ESA/Hubble & NASA, C. Kilpatrick / Public domain (cropped)
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