Analytically solvable two-level quantum systems and Landau-Zener interferometry

被引：68

作者：

Barnes, Edwin ^{[1
]}

机构：

[1] Univ Maryland, Dept Phys, Condensed Matter Theory Ctr, College Pk, MD 20742 USA

来源：

PHYSICAL REVIEW A | 2013年 / 88卷 / 01期

关键词：

2-STATE PROBLEM; ELECTRON SPINS; TRANSITION; INVERSION;

D O I：

10.1103/PhysRevA.88.013818

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

A simple algorithm is presented based on a type of partial reverse engineering that generates an unlimited number of exact analytical solutions to the Schrodinger equation for a general time-dependent two-level Hamiltonian. I demonstrate this method by deriving exact solutions corresponding to fast control pulses that contain arbitrarily many tunable parameters. It is shown that the formalism is naturally suited to generating analytical control protocols that perform precise nonadiabatic rapid passage and Landau-Zener interferometry near the quantum speed limit. A general, exact formula for Landau-Zener interference patterns is derived.

引用

页数：6

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