4 citations · 15 across the 12 of their papers we have counts for
12 papers
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…
Surround Inhibition Mechanism by Deep Learning
Naoaki Fujimoto, Muneharu Onoue, Akio Sugamoto +2
In the sensation of tones, visions and other stimuli, the "surround inhibition mechanism" (or "lateral inhibition mechanism") is crucial. The mechanism enhances the signals of the…
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…
Quantum-classical correspondence via coherent state in integrable field theory
Jun Sato, Tsukasa Yumibayashi
We consider the problem of quantum-classical correspondence in integrable field theories. We propose a method to construct a field theoretical coherent state, in which the expectat…
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…
Derivation of Higher Dimensional Periodic Recurrence Equations by Nested Structure of Complex Numbers
Tsukasa Yumibayashi
In this paper, we give a procedure for derivation of higher dimensional periodic recurrence equations(PREs) by nested structure of complex numbers.
Components of Invariant Variety of Periodic Points and Fundamental Domains of Recurrence Equation
Tsukasa Yumibayashi
In this paper, we discuss duality about components of invariant variety of periodic points(IVPP) and fundamental domain of recurrence equation, and present an algorithm for the der…
Time dependent Pais-Uhlenbeck oscillator and its decomposition
H. Kuwabara, T. Yumibayashi, H. Harada
The Pais-Uhlenbeck(PU) oscillator is the simplest model with higher time derivatives. Its properties were studied for a long time. In this paper, we extend the 4th order free PU os…
Singularity Confinement and Projective Resolution of Triangulated Category
Satoru Saito, Tsukasa Yumibayashi, Yuki Wakimoto
We proposed, in our previous paper, to characterize the Hirota-Miwa equation by means of the theory of triangulated category. We extend our argument in this paper to support the id…
Degeneration of the Julia set to singular loci of algebraic curves
Satoru Saito, Noriko Saitoh, Hiromitsu Harada +2
We show that, when a non-integrable rational map changes to an integrable one continuously, a large part of the Julia set of the map approach indeterminate points (IDP) of the map…
Quantizing with a higher time derivative
Sergei V. Ketov, Genta Michiaki, Tsukasa Yumibayashi
We review the classical and quantum theory of the Pais-Uhlenbeck oscillator as the toy-model for quantizing f(R) gravity theories.
Derivation of Invariant Varieties of Periodic Points from Singularity Confinement in the case of Toda Map
Tsukasa Yumibayashi, Satoru Saito, Yuki Wakimoto
In our previous work we have shown that the invariant varieties of periodic points (IVPP) of all periods of the 3 dimensional Lotka-Volterra map can be derived, iteratively, from t…