213 citations · 361 across the 28 of their papers we have counts for
28 papers
Typicality of thermal states in isolated quantum systems corresponds to ubiquity of global minima in wide artificial neural networks
Takaaki Monnai
The Neural Tangent Kernel theory theoretically guarantees the existence of global minima of the cost functional in the neighborhood of an arbitrary random initialized parameters in…
Kinetic Equality for Susceptibility and Dynamical Activity
Takaaki Monnai
We show a general kinetic equality for susceptibilities (KSE) of general fluctuating quantities and for the dynamical activity of nonequilibrium systems described by Markovian mast…
Universal Lower and Upper Bounds of Efficiency of Heat Engines from Thermodynamic Uncertainty Relation
Takaaki Monnai
According to Thermodynamics, the efficiency of a heat engine is upper bounded by Carnot efficiency. For macroscopic systems, the Carnot efficiency is, however, achieved only for qu…
Arbitrary Time Thermodynamic Uncertainty Relation from Fluctuation Theorem
Takaaki Monnai
The thermodynamic uncertainty relation (TUR) provides a universal entropic bound for the precision of the fluctuation of the charge transfer for example for a class of continuous t…
Thermodynamic uncertainty relation in a tilted periodic potential under coarse graining
Takaaki Monnai
Recently, some general relations have been studied in nonequilibrium mesoscopic systems. In particular, the thermodynamic uncertainty relation (TUR) provides a universal internal r…
Relaxation to Gaussian Generalized Gibbs Ensembles in Quadratic Bosonic Systems in the Thermodynamic Limit
Takaaki Monnai, Shohei Morodome, Kazuya Yuasa
Integrable quantum many-body systems are considered to equilibrate to generalized Gibbs ensembles (GGEs) characterized by the expectation values of integrals of motion. We study th…