Limiting distribution of periodic position measurements of a quantum harmonic oscillator

Acharya, Arnab ; Pal, Debapriya ; Banerjee, Soumitro ; Dasgupta, Ananda (2020) Limiting distribution of periodic position measurements of a quantum harmonic oscillator Physics Letters A, 384 (18). p. 126397. ISSN 0375-9601

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Official URL: http://doi.org/10.1016/j.physleta.2020.126397

Related URL: http://dx.doi.org/10.1016/j.physleta.2020.126397

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.

Item Type:Article
Source:Copyright of this article belongs to Elsevier Science.
Keywords:Quantum measurement; Limiting distribution; Periodic measurement; Position measurement; Repeated measurement
ID Code:129607
Deposited On:17 Nov 2022 10:55
Last Modified:17 Nov 2022 10:55

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