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Open Quantum Systems Decoherence

General(ized) Hartman effect

arXiv
Authors: Mohammad Hasan, Bhabani Prasad Mandal

Year

2020

Paper ID

20233

Status

Preprint

Abstract Read

~2 min

Abstract Words

104

Citations

N/A

Abstract

In this letter we prove explicitly that if Hartman effect exists for an arbitrary `unit cell' potential, then it also exist for a periodic system constructed using the same `unit cell' potential repeatedly. We further show that if Hartman effect exists, the tunneling time in the limiting case of a sufficiently thick `unit cell' potential is same as that of its periodic system. This is true for any arbitrary value of the intervening gap between the consecutive `unit cell' of the periodic system. Thus generalized Hartman effect always occurs for a general potential constructed using multiple copies of single potential which shows Hartman effect.

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  • This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
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  • In this letter we prove explicitly that if Hartman effect exists for an arbitrary `unit cell' potential, then it also exist for a periodic system constructed using the same...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2010.02755 [2] arXiv https://arxiv.org/abs/2010.02755 [3] Publisher https://arxiv.org/abs/2010.02755

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