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Harayama Lab
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The lab moves between the mathematics of chaos and the applications of lasers.
AboutAbout the lab
Bringing the theory of chaos into the real world.
The Harayama Lab studies the origin and function of randomness and complexity that appear in a wide range of problems, based on nonlinear physics such as chaos.
The lab values a perspective that looks simultaneously from both the mathematical, theoretical side and its exact opposite, the applied side.
The lab builds theories of chaos in classical dynamical systems, quantum chaos, and wave chaos, and applies the results to nonlinear optics, solid-state physics, and new devices.
The lab's style is that stepping into applications, in turn, brings fundamental and theoretical problems to light.
Key terms
- Chaos
- A phenomenon in which a system that follows fixed laws nevertheless becomes unpredictable, because tiny differences grow into large ones.
- Quantum chaos
- A field that investigates how the properties of chaos in classical mechanics show up in phenomena of the quantum world.
- Wave chaos
- An extension of quantum chaos to wave phenomena. It looks at how chaos affects waves in the short-wavelength limit.
ResearchResearch themes
Based on nonlinear physics, and from a perspective that views problems simultaneously from both the mathematical, theoretical side and the applied side, the lab studies the origin and function of randomness and complexity across disciplines. It examines how far theoretical models can explain the complex real world and what can be measured in experiments, and from this draws out the next challenges for theory.
*Illustrative imageChaos in classical dynamical systems
The lab investigates in detail the complex phase-space structure of conservative mapping systems, in which predictable and unpredictable motions are mixed together. It is building a new statistical physics founded on chaos, including deterministic diffusion, in which random-walk-like behavior appears even though the laws of motion are deterministic.
*Illustrative imageChaos in quantum systems
Chaos is a concept based on the instability of trajectories, so it does not appear directly in the quantum world, where trajectories do not exist. Even so, the properties of chaos in classical mechanics are thought to influence quantum phenomena. Quantum chaos studies how this influence becomes manifest, and wave chaos extends it to wave phenomena.
*Illustrative imageNonlinear dynamics of lasers
The lab has theoretically shown that the complex resonant wave functions seen in wave chaos can be realized as lasing states of a laser, and observes the emitted light in collaboration with experimental researchers. It also studies methods of generating physical random numbers at rates exceeding gigabits per second, using laser chaos that arises when a laser becomes unstable due to optical feedback.
MembersFaculty
- ProfessorTakahisa Harayama
VoicesStudent voices
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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: “Neighborhood of attractor of discretized Lorenz system. XYZ(9) plane” German A. Chernykh & Irina A. Chernykh / CC BY-SA 4.0 (cropped)
- Chaos in classical dynamical systems: “Attractor Poisson Saturne” Nicolas Desprez / CC BY-SA 3.0 (cropped)
- Chaos in quantum systems: “Chladni plate 18” Estes Objethos Atelier、Rodrigo Tetsuo Argenton / CC BY-SA 4.0 (cropped)
- Nonlinear dynamics of lasers: “Laser diode chip” NASA / Public domain (cropped)
- Related lab (小池研究室): “Minimal surface” Daniela_deGol / CC BY 4.0 (cropped)
- Related lab (小澤研究室): “World First Hiperboloid structure named Shukhov Tower in Polibino” Arssenev / CC BY-SA 4.0 (cropped)
- Related lab (望月研究室): “Феррожидкость в магнитном поле” Gribkov / CC BY 4.0 (cropped)
- Related lab (多辺研究室): “Texture in a polarizing microscope of a B7 bent-core phase of a liquid crystal” Ingo Dierking / CC BY-SA 4.0 (cropped)
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