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Open Quantum Systems Decoherence Quantum Simulation

Matrix Model of Strength Distribution: Extension and Phase Transition

arXiv

Authors: Arun Kingan, Larry Zamick

Year

2018

Paper ID

23515

Status

Preprint

Abstract Read

~2 min

Abstract Words

105

Citations

N/A

Abstract

In this work we extend a previous study of matrix models of strength distributions. We still retain the nearest neighbor coupling mode but we extend the values the coupling parameter v. We consider extremes, from very smal v to very large v. We first use the same transiiton operator as before \textless{}n T(n+1)\textgreater{} =constat=1. For this case we get an exponential decreasefor small v but we get a phase transition beyond v=10. In that case we get an even-odd effect-separate exponentials for even n and for odd n. We now also consider also the dipole choice--where \textless{}nT(n+1)\textgreater{} = sqrt{(n+1)} .

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In this work we extend a previous study of matrix models of strength distributions.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1811.02562 [2] arXiv https://arxiv.org/abs/1811.02562 [3] Publisher https://arxiv.org/abs/1811.02562

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