222 citations · 1.7k across the 99 of their papers we have counts for
6 papers · 1 filter
Threshold resonance and controlled filtering in quantum star graphs
Ondřej Turek, Taksu Cheon
We design two simple quantum devices applicable as an adjustable quantum spectral filter and as a flux controller. Their function is based upon the threshold resonance in a Fülöp-T…
Quantum graph vertices with permutation-symmetric scattering probabilities
Ondřej Turek, Taksu Cheon
Boundary conditions in quantum graph vertices are generally given in terms of a unitary matrix . Observing that if has at most two eigenvalues, then the scattering matrix $\…
Quantum phenomenology of conjunction fallacy
Taksu Cheon, Taiki Takahashi
A quantum-like description of human decision process is developed, and a heuristic argument supporting the theory as sound phenomenology is given. It is shown to be capable of quan…
Eigenvalue and eigenspace anholonomies in hierarchical systems
Atushi Tanaka, Sang Wook Kim, Taksu Cheon
An adiabatic cycle of parameters in a quantum system can yield the quantum anholonomies, nontrivial evolution not just in phase of the states, but also in eigenvalues and eigenstat…
Inverse scattering problem for quantum graph vertices
Taksu Cheon, Pavel Exner, Ondrej Turek
We demonstrate how the inverse scattering problem of a quantum star graph can be solved by means of diagonalization of Hermitian unitary matrix when the vertex coupling is of the s…
Hermitian unitary matrices with modular permutation symmetry
Ondrej Turek, Taksu Cheon
We study Hermitian unitary matrices with the following property: There exist and such that the entries of satisfy $|\m…