Continuous-Time Multidimensional Walks as an Integrable Model
- 作者: Bogoliubov N.1
-
隶属关系:
- St.Petersburg Department of Steklov Institute of Mathematics, ITMO University
- 期: 卷 238, 编号 6 (2019)
- 页面: 769-778
- 栏目: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/242601
- DOI: https://doi.org/10.1007/s10958-019-04274-1
- ID: 242601
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详细
We consider continuous-time random walks on multidimensional symplectic lattices. It is shown that the generating functions of random walks and the transition amplitudes of continuous-time quantum walks can be expressed through dynamical correlation functions of an exactly solvable model describing strongly correlated bosons on a chain, the so-called phase model. The number of random lattice paths with a fixed number of steps connecting the starting and ending points on the multidimensional lattice is expressed through solutions of the Bethe equations of the phase model. Its asymptotics is obtained in the limit of a large number of steps.
作者简介
N. Bogoliubov
St.Petersburg Department of Steklov Institute of Mathematics, ITMO University
编辑信件的主要联系方式.
Email: bogoliub@yahoo.com
俄罗斯联邦, St.Petersburg
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