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Open Quantum Systems Decoherence

Classical and Quantum Stochastic Models of Resistive and Memristive Circuits

arXiv
Authors: John E. Gough, Guofeng Zhang

Year

2015

Paper ID

26459

Status

Preprint

Abstract Read

~2 min

Abstract Words

127

Citations

0

Abstract

The purpose of this paper is to examine stochastic Markovian models for circuits in phase space for which the drift term is equivalent to the standard circuit equations. In particular we include dissipative components corresponding to both a resistor and a memristor in series. We obtain a dilation of the problem for which is canonical in the sense that the underlying Poisson Brackets structure is preserved under the stochastic flow. We do this first of all for standard Wiener noise, but also treat the problem using a new concept of symplectic noise where the Poisson structure is extended to the noise as well as the circuit variables, and in particular where we have canonically conjugate noises. Finally we construct a dilation which describes the quantum mechanical analogue.

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  • This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
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  • The purpose of this paper is to examine stochastic Markovian models for circuits in phase space for which the drift term is equivalent to the standard circuit equations.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1510.08243 [2] arXiv https://arxiv.org/abs/1510.08243 [3] Publisher https://arxiv.org/abs/1510.08243

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External citation index: OpenAlex citation signal • updated 2026-06-13 02:53:25

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