205 citations · 3.3k across the 120 of their papers we have counts for
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Time evolution of Renyi entropy under the Lindblad equation
Sumiyoshi Abe
In recent years, the Renyi entropy has repeatedly been discussed for characterization of quantum critical states and entanglement. Here, time evolution of the Renyi entropy is stud…
Subdiffusion of volcanic earthquakes
Sumiyoshi Abe, Norikazu Suzuki
A comparative study is performed on volcanic seismicities at Icelandic volcano, Eyjafjallajökull, and Mt. Etna in Sicily from the viewpoint of complex systems science, and the disc…
Invariants of Fokker-Planck equations
Sumiyoshi Abe
A weak invariant of a stochastic system is defined in such a way that its expectation value with respect to the distribution function as a solution of the associated Fokker-Planck…
Weak invariants of time-dependent quantum dissipative systems
Sumiyoshi Abe
The concept of weak invariant is introduced. Then, the weak invariants associated with time-dependent quantum dissipative systems are discussed in the context of master equations o…
Path probability of stochastic motion: A functional approach
Masayuki Hattori, Sumiyoshi Abe
The path probability of a particle undergoing stochastic motion is studied by the use of functional technique, and the general formula is derived for the path probability distribut…
Fluctuation theorems and 1/f noise from a simple matrix
Ralph V. Chamberlin, Sumiyoshi Abe, Bryce F. Davis +2
Here we present a model for a small system combined with an explicit entropy bath that is comparably small. The dynamics of the model is defined by a simple matrix, M. Each row of…