64 citations · 188 across the 15 of their papers we have counts for
15 papers
Berry's phase and quantum mechanical formulation of anomalous Hall effect
Kazuo Fujikawa, Koichiro Umetsu
The canonical commutation relations in quantum mechanics are not maintained in the anomalous Hall effect described by Berry's phase in the presence of the electromagnetic vector po…
Berry's phase and chiral anomalies
Kazuo Fujikawa, Koichiro Umetsu
The basic materials of Berry's phase and chiral anomalies are presented to appreciate the phenomena related to those notions. As for Berry's phase, a general survey of the subject…
A path integral derivation of the equations of anomalous Hall effect
Kazuo Fujikawa, Koichiro Umetsu
A path integral (Lagrangian formalism) is used to derive the effective equations of motion of the anomalous Hall effect with Berry's phase on the basis of the adiabatic condition $…
Lensing of Dirac monopole in Berry's phase
Kazuo Fujikawa, Koichiro Umetsu
Berry's phase, which is associated with the slow cyclic motion with a finite period, looks like a Dirac monopole when seen from far away but smoothly changes to a dipole near the l…
A classical limit of Grover's algorithm induced by dephasing: Coherence vs entanglement
Kazuo Fujikawa, C. H. Oh, Koichiro Umetsu
A new approach to the classical limit of Grover's algorithm is discussed by assuming a very rapid dephasing of a system between consecutive Grover's unitary operations, which drive…
Separability criteria with angular and Hilbert space averages
Kazuo Fujikawa, C. H. Oh, Koichiro Umetsu +1
The practically useful criteria of separable states in are discussed. The equality $G({\bf a},{\bf b})= 4[\langle ψ|P({\bf a})\otimes P({\bf b})…