5 citations · 19 across the 15 of their papers we have counts for
16 papers
Nambu Non-equilibrium Thermodynamics: Axiomatic Formulation and Foundation
So Katagiri, Yoshiki Matsuoka, Akio Sugamoto
We present a theoretical framework for non-equilibrium thermodynamics, termed Nambu Non-equilibrium Thermodynamics (NNET), which unifies reversible dynamics described by the Nambu…
Inflation Model Based on Virasoro Squeezing
Kenji Ebata, So Katagiri, Yoshiki Matsuoka +2
We propose a novel mechanism for realizing slow-roll inflation that is fully consistent with observational data, based on conformal transformations acting exclusively on a complex…
A Constructive Definition of Space via Dynamical Evolution and Observational Acts
So Katagiri
We propose a constructive and dynamical redefinition of spatial structure, grounded in the interplay between mechanical evolution and observational acts. Rather than presupposing s…
A Lorentz Covariant Matrix Model for Bosonic M2-Branes: Nambu Brackets and Restricted Volume-Preserving Deformations
So Katagiri
We propose a Lorentz covariant matrix model as a nonperturbative formulation of the bosonic M2-brane in M-theory. Unlike previous approaches relying on the light-cone gauge or symm…
Holography of Transmission Lines: Insights of Continuous MERA and AdS/CFT
So Katagiri
This study examines the holographic representation of the quantum theory of transmission lines, which play a crucial role in quantum computing and quantum information. Utilizing Yu…
Unlocking Novel Quantum States: Virasoro-Bogoliubov Transformations in Two Modes
So Katagiri
This paper explores the Bogoliubov transformation's extension to two-mode squeezed states, building on our previous work with Virasoro-squeezing. We establish the Virasoro-Bogoliub…
Quantization of Nambu Brackets from Operator Formalism in Classical Mechanics
So Katagiri
This paper proposes a novel approach to quantizing Nambu brackets in classical mechanics using operator formalism. The approach employs the ``Planck derivative'' to represent Nambu…
Fluctuating Non-linear Non-equilibrium System in Terms of Nambu Thermodynamics
So Katagiri, Yoshiki Matsuoka, Akio Sugamoto
It is shown that the structure of non-equilibrium thermodynamic system far from equilibrium can be captured in terms of a generalized "Nambu dynamics", in the presence of fluctuati…
Analytical Study of Anomalous Diffusion by Randomly Modulated Dipole
S. Katagiri, Y. Matsuo, Y. Matsuoka +1
This paper derives the Fokker-Planck (FP) equation for a particle moving in potential by a randomly modulated dipole. The FP equation describes the anomalous diffusion observed in…
Anomalous diffusion in a randomly modulated velocity field
Noriaki Aibara, Naoaki Fujimoto, So Katagiri +5
This paper proposes a simple model of anomalous diffusion, in which a particle moves with the velocity field induced by a single "dipole" (a doublet or a pair of source and sink),…
A Formalism Useful to Study Beyond Squeezing in Non-linear Quantum Optics
Noriaki Aibara, Naoaki Fujimoto, So Katagiri +3
A general formalism is given in quantum optics within a ring cavity, in which a non-linear material is stored. The method is Feynman graphical one, expressing the transition amplit…
Measurement theory in classical mechanics
So Katagiri
Measurement theory in classical mechanics is investigated in the formulation of classical mechanics by Koopman and von Neumann (KvN), using Hilbert space. It is shown that the clas…
Beyond Squeezing à la Virasoro Algebra
So Katagiri, Akio Sugamoto, Koichiro Yamaguchi +1
The generalization of squeezing is realized in terms of the Virasoro algebra. The higher-order squeezing can be introduced through the higher-order time-dependent potential, in whi…
Gravity Analog Model of Non-equilibrium Thermodynamics
Noriaki Aibara, Naoaki Fujimoto, So Katagiri +4
Non-equilibrium thermodynamics of Onsager and Machlup and of Hashitsume is reformulated as a gravity analog model, in which thermodynamic variables, kinetic coefficients and genera…
Non-equilibrium thermodynamics as gauge fixing
So Katagiri
By considering a thermodynamic force as gauge field, we extend constitutive equations of Onsager's non-equilibrium thermodynamics to non-linear equations. In Onsager's non-equilibr…
D3-brane from D-instantons in the hybrid formalism of superstring
Yoshiteru Amemiya, Kenji Araki, So Katagiri
A Dp-brane can be regarded as a configuration of infinitely many D(p-2k)-branes in bosonic string. We will show this property of D-branes in the superstring case using the hybrid f…