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5 papers · 2 filters
The Witten Index for One-dimensional Non-unitary Quantum Walks with Gapless Time-evolution
Keisuke Asahara, Daiju Funakawa, Motoki Seki +1
Recent developments in the index theory of discrete-time quantum walks allow us to assign a certain well-defined supersymmetric index to a pair of a unitary time-evolution and…
A Constructive Approach to Topological Invariants for One-dimensional Strictly Local Operators
Yohei Tanaka
In this paper we shall focus on one-dimensional strictly local operators, the notion of which naturally arises in the context of discrete-time quantum walks on the one-dimensional…
Free Oscillator Realization of the Laguerre Polynomial
Satoru Odake
We revisit the radial oscillator from the free oscillator realization point of view. By using a free oscillator, namely the creation/annihilation operators of the harmonic oscillat…
Parameterization of quantum walks on cycles
Shuji Kuriki, Md Sams Afif Nirjhor, Hiromichi Ohno
This study investigate the unitary equivalence classes of quantum walks on cycles. We show that unitary equivalence classes of quantum walks on a cycle with vertices are parame…
Wronskian/Casoratian Identities and their Application to Quantum Mechanical Systems
Satoru Odake
Corresponding to a certain Wronskian identity, we present two types of new Casoratian identities. We apply these identities to the Darboux transformations of quantum mechanical sys…