Title: Excitation of quantum particles in one dimension through adiabatic cycles
I will explain that adiabatic cycles may excite a particle, which is confined in a one-dimensional region and is initially in a stationary state. During the adiabatic cycle, a $\delta$-wall is applied and its strength and position are varied. It is also shown that the result of the adiabatic cycle is programmable. A detailed argument is provided for the case that the particle is confined by an infinite square well. I will also explain an extension of this result to a many-body setting.
Ref. S. Kasumie, M. Miyamoto and AT, PRA 93, 042105 (2016, arXiv:1510.07854)
Title: Energy spectrum of the Non-linear Schrödinger equation on a ring with a defect computed automatically
Title: Dynamical Galam Model
We introduce a model of temporal evolution of political opinions which amounts to a dynamical extension of Galam model in which the number of inflexibles are treated as dynamical variables. We find that the critical value of inflexibles in the original Galam model now turns into a fixed point of the system whose stability controls the phase trajectory of the political opinions. The appearance of two phases is found, in which majority-preserving and regime-changing limit cycles are respectively dominant, and the phase transition between them is observed.
Ref: T.Cheon and S. Galam, “Dynamical Galam model”. arXiv.org:1802.05389 (2018)