Multi-dimensional continuous time quantum walks related to the birth and death chains

Autor:	Ide, Yusuke, Konno, Norio, Narimatsu, Akihiro
Rok vydání:	2024
Předmět:	Quantum Physics 81Q99 05C50
Druh dokumentu:	Working Paper
Popis:	In this paper, we consider multi-dimensional birth and death chains and continuous time quantum walks (CTQW) related to them. For CTQW related to our forms of multi-dimensional birth and death chains, we obtain the time scaled independence between multiple dimensions about the transition probability of CTQW. By using this feature, we analyze CTQW on the path graph, which is related to 1-dimensional Ehrenfest model. We also have a random variable which is related to our models and converges to the standard Gaussian distribution. Comment: 11pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2408.10574 Zobrazit plný text záznamu View this record from Arxiv