222 citations · 1.7k across the 99 of their papers we have counts for
5 papers · 1 filter
Exotic quantum holonomy in Hamiltonian systems
Taksu Cheon, Atushi Tanaka, Sang Wook Kim
We study the evolution of quantum eigenstates in the presence of level crossing under adiabatic cyclic change of environmental parameters. We find that exotic holonomies, indicated…
Spectral filtering in quantum Y-junction
Taksu Cheon, Pavel Exner, Ondrej Turek
We examine scattering properties of singular vertex of degree and , taking advantage of a new form of representing the vertex boundary condition, which has been devised…
Approximation of a general singular vertex coupling in quantum graphs
Taksu Cheon, Pavel Exner, Ondrej Turek
The longstanding open problem of approximating all singular vertex couplings in a quantum graph is solved. We present a construction in which the edges are decoupled; an each pair…
A Unified Theory of Quantum Holonomies
Atushi Tanaka, Taksu Cheon
A periodic change of slow environmental parameters of a quantum system induces quantum holonomy. The phase holonomy is a well-known example. Another is a more exotic kind that exhi…
Exotic quantum holonomy induced by degeneracy hidden in complex parameter space
Sang Wook Kim, Taksu Cheon, Atushi Tanaka
An adiabatic change of a bound state along a closed circuit in the parameter space can induces holonomies not only in the phase of the state, but also in the associated eigenspace…