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math-ph2019★ 1 cited
Explicit Diagonalization of Pair Interaction Models
Yasumichi Matsuzawa, Itaru Sasaki, Kyosuke Usami
We provide a general method for constructing bosonic Bogoliubov transformations that diagonalize a general class of quadratic Hamiltonians. These Hamiltonians describe the pair int…
math-ph2019★ 1 cited
Time operators for continuous-time and discrete-time quantum walks
Daiju Funakawa, Yasumichi Matsuzawa, Akito Suzuki +2
We construct concrete examples of time operators for both continuous and discrete-time homogeneous quantum walks, and we determine their deficiency indices and spectra. For a discr…