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

共 50 条

[31] Robust control of quantum systems by quantum systems
Konrad, Thomas
Rouillard, Amy
Kastner, Michael
Uys, Hermann
PHYSICAL REVIEW A, 2021, 104 (05)
[32] ON SOME INTEGRABLE ONE-DIMENSIONAL QUANTUM-MECHANICAL SYSTEMS
LORENTE, M
PHYSICS LETTERS B, 1989, 232 (03) : 345 - 350
[33] SOLUTION OF SOME INTEGRABLE ONE-DIMENSIONAL QUANTUM-SYSTEMS
SUTHERLAND, B
SHASTRY, BS
PHYSICAL REVIEW LETTERS, 1993, 71 (01) : 5 - 8
[34] Quantum systems and quantum control
Xiong, Hejin
Chen, Mianyun
Wuhan Ligong Daxue Xuebao (Jiaotong Kexue Yu Gongcheng Ban)/Journal of Wuhan University of Technology (Transportation Science and Engineering), 2002, 26 (04):
[35] Quantum concepts and complex systems
Brändas, EJ
INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY, 2004, 98 (02) : 78 - 86
[36] Quantum geometry and quantum mechanics of integrable systems. II
Karasev, M. V.
RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS, 2010, 17 (02) : 207 - 217
[37] Quantum coherent transform of integrable Hamiltonian systems and quantum computing
Blackmore, D
Taneri, U
Prykarpatsky, A
6TH WORLD MULTICONFERENCE ON SYSTEMICS, CYBERNETICS AND INFORMATICS, VOL XVI, PROCEEDINGS: COMPUTER SCIENCE III, 2002, : 105 - 110
[38] Quantum geometry and quantum mechanics of integrable systems. II
M. V. Karasev
Russian Journal of Mathematical Physics, 2010, 17 : 207 - 217
[39] Control of some quantum systems - Role of phases
Ramakrishna, V
Ober, RJ
Rabitz, H
NONLINEAR CONTROL SYSTEMS 2001, VOLS 1-3, 2002, : 1417 - 1420
[40] Some Mathematical Problems of Control of Quantum Systems
Pechen’ A.N.
Journal of Mathematical Sciences, 2019, 241 (2) : 185 - 190

← 1 2 3 4 5 →