NON-MARKOVIAN RELAXATION OF A SPIN-1/2 PARTICLE IN A FLUCTUATING TRANSVERSE FIELD - CUMULANT EXPANSION AND STOCHASTIC SIMULATION RESULTS

被引：30

作者：

AIHARA, M ^{[1
]}

SEVIAN, HM ^{[1
]}

SKINNER, JL ^{[1
]}

机构：

[1] COLUMBIA UNIV, DEPT CHEM, NEW YORK, NY 10027 USA

来源：

PHYSICAL REVIEW A | 1990年 / 41卷 / 12期

关键词：

D O I：

10.1103/PhysRevA.41.6596

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We consider the relaxation dynamics of a spin-1/2 particle in a fluctuating transverse magnetic field. With a cumulant expansion technique (up to sixth order) we calculate the time dependence of the approach to equilibrium of the population difference of the two spin levels and of the phase coherence. We find that for intermediate strength coupling to the fluctuations, the cumulant expansion converges, and the relaxation to equilibrium can have a pronounced non-Markovian character. We compare these analytic results with numerically exact data from stochastic simulations. © 1990 The American Physical Society.

引用

页码：6596 / 6601

页数：6

共 11 条

[1]

ABRAGAM A, 1961, PRINCIPLES NUCLEAR M

[2]

[Anonymous], 1984, SPRINGER SERIES SYNE

[3] ON THE RELATIONSHIP BETWEEN T1 AND T2 FOR STOCHASTIC RELAXATION MODELS [J].