Journal
PHYSICAL REVIEW E
Volume 62, Issue 4, Pages 5808-5817Publisher
AMERICAN PHYSICAL SOC
DOI: 10.1103/PhysRevE.62.5808
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We consider the Brownian motion of a quantum-mechanical particle in a one-dimensional parabolic potential with periodically modulated curvature under the influence of a thermal heat bath. Analytic expressions for the time-dependent position and momentum variances are compared with results of an iterative algorithm, the so-called quasiadiabatic propagator path-integral algorithm. We obtain good agreement over an extended range of parameters for this spatially continuous quantum system. These findings indicate the reliability of the algorithm also in cases for which analytic results may not be available a priori.
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