On Invariant Subspace in Quantum Control Systems and Some Concepts of Integrable Quantum Systems

被引：9

作者：

Jamiolkowski, Andrzej ^{[1
]}

Kamizawa, Takeo ^{[1
]}

Pastuszak, Grzegorz ^{[2
]}

机构：

[1] Nicolaus Copernicus Univ, Fac Phys Astron & Informat, Torun, Poland

[2] Polish Acad Sci, Ctr Theoret Phys, Warsaw, Poland

来源：

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS | 2015年 / 54卷 / 08期

关键词：

Integrable system; Quasi-diagonalisation; Morris-shore transformation; Circulant matrices; Brownian matrices;

D O I：

10.1007/s10773-014-2498-6

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Trajectories of some dynamical systems can be analysed by algebraic methods. In this paper we discuss certain applications of the so-called Shemesh criterion and its generalisations to analysis of properties of quantum control systems. In particular, some Hamiltonians with non-degenerated spectrum are considered, and also the case of a Hamiltonian with m (1),...,m (N) degeneracies, where Sigma(N)(i=1) m(i) = n, is discussed.

引用

页码：2662 / 2674

页数：13

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