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4 papers · 2 filters
Discrete Orthogonality Relations for the Multi-Indexed Orthogonal Polynomials in Discrete Quantum Mechanics with Pure Imaginary Shifts
Satoru Odake
The discrete orthogonality relations for the multi-indexed orthogonal polynomials in discrete quantum mechanics with pure imaginary shifts are investigated. We show that the discre…
The Witten index for one-dimensional split-step quantum walks under the non-Fredholm condition
Yasumichi Matsuzawa, Akito Suzuki, Yohei Tanaka +2
It is recently shown that a split-step quantum walk possesses a chiral symmetry, and that a certain well-defined index can be naturally assigned to it. The index is a well-defined…
Constraints for the spectra of generators of quantum dynamical semigroups
Dariusz Chruscinski, Ryohei Fujii, Gen Kimura +1
Motivated by a spectral analysis of the generator of completely positive trace-preserving semigroup, we analyze a real functional $$ A,B \in M_n(\mathbb{C}) \to r(A,B) = \frac{1}{2…
The bulk-dislocation correspondence for weak topological insulators on screw-dislocated lattices
Yosuke Kubota
A weak topological insulator in dimension is known to have a topologically protected gapless mode along the screw dislocation. In this paper we formulate and prove this fact wi…