||I am a theoretical physicist. In graduate school, I majored in elementary particle physics, and after receiving Ph.D. , I worked as a postdoctoral fellow in chemical physics. Since arriving at Tokyo City University, I have been conducting research on dynamical systems, numerical methods, and quantum computers, in addition to chemical physics.
|Research Field(Keyword & Summary)
- (1) Chemical physics
Real-time dynamics of finite-temperature quantum many-body systems is difficult to calculate numerically. Path-integral molecular dynamics is a promising method for numerical calculations by mapping a quantum system to a classical system, and I am developing a method to apply it to the calculation of real-time quantum dynamics.
- (2) Nambu mechanics
Nambu mechanics is a generalized Hamiltonian mechanics, introduced by Yoichiro Nambu in 1973, which has various interesting properties. I have found examples of quantum and semiclassical systems described by Nambu mechanics. I am now investigating its properties in detail and developing numerical methods to calculate it.
- (3) Quantum computer
A quantum computer is a new type of computer that works based on the principles of quantum mechanics. It is still in the development stage, but we can run a prototype machine through a free cloud service. In addition to the simulation of quantum systems, I am considering the use of quantum computers as an educational tool for learning quantum mechanics.
- 1. A.Horikoshi, Nambu dynamics and its noncanonical Hamiltonian representation in many degrees of freedom systems, Progress of Theoretical and Experimental Physics, Vol.2021, ptab075 p1-8 (2021).
- 2. A.Horikoshi, Hidden Nambu mechanics II: Quantum/semiclassical dynamics, Progress of Theoretical and Experimental Physics, Vol.2019, 123A02 p1-17 (2019).
- 3．A.Horikoshi, Y.Kawamura, Hidden Nambu mechanics: A variant formulation of Hamiltonian systems, Progress of Theoretical and Experimental Physics, Vol.2013, No.7, p073A01 p1-20 (2013).
- 4．A.Horikoshi, External source method for Kubo-transformed quantum correlation functions, International Journal of Quantum Chemistry, Vol.113, No.3, p326-329 (2013).
- 5．A.Horikoshi, A Formulation of the Ring Polymer Molecular Dynamics, Molecular Simulation, Vol. 38, No.5, p389-396 (2012).
|Grant-in-Aid for Scientific Research Support: Japan Society for Promotion of Science (JSPS)
|Affiliated academic society (Membership type)
||The Physical Society of Japan (Regular member)
American Chemical Society (Regular member)
|Education Field (Undergraduate level)
||Chemistry, Programming, Quantum mechanics
|Education Field (Graduate level)
||Theoretical physics, Chemical reaction, Biophysics