Numerical study of metastability due to tunneling: The quantum string method

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dc.creatorQian, Tiezheng
dc.creatorRen, Weiqing
dc.creatorShi, Jing
dc.creatorE, Weinan
dc.creatorSheng, Ping
dc.date2005-09-03
dc.date.accessioned2026-07-07T03:06:31Z
dc.date.available2026-07-07T03:06:31Z
dc.descriptionWe generalize the string method, originally designed for the study of thermally activated rare events, to the calculation of quantum tunneling rates. This generalization is based on the analogy between quantum mechanics and statistical mechanics in the path-integral formalism. The quantum string method first locates, in the space of imaginary-time trajectories, the minimal action path (MAP) between two minima of the imaginary-time action. From the MAP, the saddle-point (``bounce'') action associated with the exponential barrier penetration probability is obtained and the pre-exponential factor (the ratio of determinants) for the tunneling rate evaluated using stochastic simulation. The quantum string method is implemented to calculate the zero-temperature escape rates for the metastable zero-voltage states in the current-biased Josephson tunnel junction model. In the regime close to the critical bias current, direct comparison of the numerical and analytical results yields good agreement. Our calculations indicate that for the nanojunctions encountered in many experiments today, the (absolute) escape rates should be measurable at bias current much below the critical current.
dc.description12 pages including 10 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0509076
dc.identifierhttp://arxiv.org/abs/cond-mat/0509076
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/26832
dc.subjectStatistical Mechanics
dc.subjectSuperconductivity
dc.titleNumerical study of metastability due to tunneling: The quantum string method
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