518 citations · 3.1k across the 58 of their papers we have counts for
6 papers · 1 filter
Quantum dark solitons in the 1D Bose gas: From single to double dark-solitons
Kayo Kinjo, Eriko Kaminishi, Takashi Mori +3
We study quantum double dark-solitons by constructing corresponding quantum states in the Lieb-Liniger model for the one-dimensional Bose gas. Here we expect that the Gross-Pitaevs…
Heating Rates under Fast Periodic Driving beyond Linear Response
Takashi Mori
Heating under periodic driving is a generic nonequilibrium phenomenon, and it is a challenging problem in nonequilibrium statistical physics to derive a quantitatively accurate hea…
Power-law escape rate of SGD
Takashi Mori, Liu Ziyin, Kangqiao Liu +1
Stochastic gradient descent (SGD) undergoes complicated multiplicative noise for the mean-square loss. We use this property of SGD noise to derive a stochastic differential equatio…
Metastability associated with many-body explosion of eigenmode expansion coefficients
Takashi Mori
Metastable states in stochastic systems are often characterized by the presence of small eigenvalues in the generator of the stochastic dynamics. We here show that metastability in…
Strength of Minibatch Noise in SGD
Liu Ziyin, Kangqiao Liu, Takashi Mori +1
The noise in stochastic gradient descent (SGD), caused by minibatch sampling, is poorly understood despite its practical importance in deep learning. This work presents the first s…
Rigorous Bounds on the Heating Rate in Thue-Morse Quasiperiodically and Randomly Driven Quantum Many-Body Systems
Takashi Mori, Hongzheng Zhao, Florian Mintert +2
The nonequilibrium quantum dynamics of closed many-body systems is a rich yet challenging field. While recent progress for periodically driven (Floquet) systems has yielded a numbe…