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Kawashima Lab
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A computational physics lab that uses supercomputers to tackle many-body problems in which large numbers of particles interact with one another.

AboutAbout the lab
Computers as instruments for numerical experiments.
The Kawashima Lab uses large-scale parallel computers to solve many-body problems in a wide range of fields, including statistical mechanics and solid state physics.
Many-body problems, in which numerous elements interact with one another, generally cannot be solved with pencil and paper alone.
Just as experimentalists run experiments with large apparatus, the lab uses computers as instruments for "numerical experiments."
Beyond solving problems, the lab also develops new computational methods themselves, such as quantum Monte Carlo methods and tensor network methods.
Key terms
- Many-body problem
- The problem of determining the behavior of a system in which many particles or elements influence one another. In general, it cannot be solved by hand
- Tensor network
- A method of representing large data with many variables as a network of small tensors (multidimensional arrays of numbers) connected to one another
- Bose-Einstein condensation
- A phenomenon in which, at extremely low temperatures, many bosons gather in the same quantum state, so that quantum mechanical properties appear at a macroscopic, visible scale
NewsLab news
Press release on joint research with Kyoto University and others: a scheme for building generative models with tensor trees
Press release on joint research with Kyoto University and others: generative models based on tensor networks
Paper published on loop optimization of tensor networks
ResearchResearch themes
The lab uses computers as instruments for "numerical experiments" to solve many-body problems in statistical mechanics, solid state physics, quantum physics, and other fields. Alongside solving a variety of problems, it also develops computational methods and algorithms.
*Illustrative imageQuantum spin systems
The lab investigates phase transitions at absolute zero in which quantum effects play an essential role (quantum phase transitions). It studies phenomena specific to quantum systems, such as the one-dimensional Tomonaga-Luttinger liquid and the transition from an antiferromagnetic state to a valence bond solid (VBS) state in two dimensions.
*Illustrative imageBosonic systems
Bose-Einstein condensation is a phenomenon in which microscopic quantum effects show up in the properties of the whole system. To enable precise comparison between experiments on ultracold atoms confined in optical lattices and quantum Monte Carlo calculations, the lab develops methodologies and carries out simulations.
*Illustrative imageOptimization of tensor networks
The lab has proposed a method for efficiently optimizing tensor networks with loops, applying nuclear norm regularization from the field of data processing. Its performance has been verified on the two-dimensional Ising model at the critical point.
*Illustrative imageGenerative models based on tensor trees
The lab has built a generative model that uses a tree-structured tensor network to learn, from a collection of multivariable samples, the probability distribution that generates them. Its distinguishing feature is that it automatically optimizes the structure of the network.
MembersFaculty
The Kawashima Lab consists of faculty, postdoctoral researchers, a secretary, and doctoral and master's students.As of 2024
- ProfessorNaoki KawashimaPublications ↗
- Assistant ProfessorJun Takahashi
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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: “Ising-tartan” Linas / CC BY-SA 3.0 (cropped)
- Quantum spin systems: “Six states Bloch sphere” Kevin Garapo, Mhlambululi Mafu, Francesco Petruccione / CC BY-SA 4.0 (cropped)
- Bosonic systems: “Bose-Einstein condensate, a cloud of super-cooled Rubidium atoms in a Laser trap on an Optical table - In a game of catch & release, the atoms will shoot up a 30 ft. tall Atomic fountain - Stanford” Steve Jurvetson from Menlo Park, USA / CC BY 2.0 (cropped)
- Optimization of tensor networks: “Tensor contraction diagram” Tensorworks / CC0 (cropped)
- Generative models based on tensor trees: “TTN diagram” Tensorworks / CC0 (cropped)
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