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Matsui Lab
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A lab that uses algebra to exactly solve exactly solvable quantum models and exactly solvable stochastic processes.
AboutAbout the lab
Exactly calculating many-particle systems with algebra.
The Matsui Lab studies mathematical physics, with a main focus on exactly solvable quantum models.
When scattering in a many-particle system can be decomposed into two-body scattering, the system is called solvable, and the Yang-Baxter equation guarantees that decomposition.
The lab investigates why supersymmetric field theories emerge from the higher-spin XXZ model, from the perspective of degrees of freedom specific to higher spin.
The lab also works on exactly solvable stochastic processes such as the asymmetric simple exclusion process (ASEP).
Key terms
- Yang-Baxter equation
- An equation that guarantees that many-particle scattering can be decomposed into two-body scattering. It can be understood within the framework of quantum groups.
- XXZ model
- An anisotropic Heisenberg spin chain. It is the most famous example of a quantum integrable system.
- Asymmetric simple exclusion process
- A model of a stochastic process in which particles move on a one-dimensional lattice. Its stationary state can be found exactly.
ResearchResearch themes
The lab's field is mathematical physics, with exactly solvable quantum models and exactly solvable stochastic processes as its themes. It studies solvable systems in which physical quantities can be calculated exactly using algebraic relations.
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MembersFaculty
- Associate ProfessorChihiro MatsuiPublications ↗
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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: “Illustration of Yang Baxter Equation” AHusain314 / Public domain (cropped)
- Exactly Solvable Quantum Models and Exactly Solvable Stochastic Processes: “Spin chain3” Tluck074 / CC BY-SA 4.0 (cropped)
- Related lab (Kato Lab): “Orange Genus 2 Surface” Gelada / CC BY-SA 3.0 (cropped)
- Related lab (Shiraishi Lab): “Weierstrass p function” Claudio Rocchini / CC BY-SA 4.0 (cropped)
- Related lab (Willox Lab): “Two soliton overtake collision - color plot” N0fk / CC BY-SA 4.0 (cropped)
- Related lab (Hayashi Lab): “Lorenz attractor and its transients” Yapparina / CC0 (cropped)
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