Time-optimal quantum evolution - art. no. 060503

被引：245

作者：

Carlini, A ^{[1
]}

Hosoya, A

Koike, T

Okudaira, Y

机构：

[1] Tokyo Inst Technol, Dept Phys, Tokyo, Japan

[2] Keio Univ, Dept Phys, Yokohama, Kanagawa 223, Japan

来源：

PHYSICAL REVIEW LETTERS | 2006年 / 96卷 / 06期

关键词：

14;

D O I：

10.1103/PhysRevLett.96.060503

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We present a general framework for finding the time-optimal evolution and the optimal Hamiltonian for a quantum system with a given set of initial and final states. Our formulation is based on the variational principle and is analogous to that for the brachistochrone in classical mechanics. We reduce the problem to a formal equation for the Hamiltonian which depends on certain constraint functions specifying the range of available Hamiltonians. For some simple examples of the constraints, we explicitly find the optimal solutions.

引用

页数：4

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