Details

Autor(en) / Beteiligte

• Acharya, Arnab
• Pal, Debapriya
• Banerjee, Soumitro
• Dasgupta, Ananda

Titel

Limiting distribution of periodic position measurements of a quantum harmonic oscillator

Ist Teil von

• Physics letters. A, 2020-06, Vol.384 (18), p.126397, Article 126397

Ort / Verlag

Elsevier B.V

Erscheinungsjahr

2020

Quelle

Access via ScienceDirect (Elsevier)

Beschreibungen/Notizen

• 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. •The position of a quantum harmonic oscillator is periodically measured.•We show that the measurement outcomes follow a zero-mean Gaussian distribution.•An exact expression for the standard deviation is derived.•Our results can be used to localize particles at the centre of a harmonic well.