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arXiv · 1912.13255

Limiting distribution of periodic position measurements of a quantum harmonic oscillator

Arnab Acharya·Debapriya Pal·Soumitro Banerjee·Ananda Dasgupta
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Abstract

We consider a particle in harmonic oscillator potential, whose position is periodically measured with an instrument of finite precision. We show that the distribution of the measured positions tends to a limiting distribution when the number of measurements tends to infinity. We derive the expression for the limiting position distribution and validate it with numerical simulation.

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Arnab Acharya, Debapriya Pal, Soumitro Banerjee, Ananda Dasgupta. 2021-01-15. Limiting distribution of periodic position measurements of a quantum harmonic oscillator. https://doi.org/10.1016/j.physleta.2020.126397

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