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Open Quantum Systems Decoherence Quantum Simulation

Limiting distribution of periodic position measurements of a quantum harmonic oscillator

arXiv
Authors: Arnab Acharya, Debapriya Pal, Soumitro Banerjee, Ananda Dasgupta

Year

2019

Paper ID

39499

Status

Preprint

Abstract Read

~2 min

Abstract Words

56

Citations

N/A

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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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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  • We consider a particle in harmonic oscillator potential, whose position is periodically measured with an instrument of finite precision.

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