Quantum walker in presence of a moving detector

Md Aquib Molla and Sanchari Goswami

Physica A: Statistical Mechanics and its Applications, 2023, vol. 620, issue C

Abstract: In this work, we study the effect of a moving detector on a discrete time one dimensional Quantum Random Walk where the movement is realized in the form of hopping/shifts. The occupation probability f(x,t;n,s) is estimated as the number of detection n and amount of shift s vary. It is seen that the occupation probability at the initial position xD of the detector is enhanced when n is small which is a quantum mechanical effect but decreases when n is large. The ratio of occupation probabilities of our walk to that of an Infinite walk shows a scaling behavior of xD2n2. It shows a definite scaling behavior with amount of shifts s also. The limiting behaviors of the walk are observed when xD is large, n is large and s is large and the walker for these cases approach the Infinite Walk, The Semi Infinite Walk and the Quenched Quantum Walk respectively.

Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:620:y:2023:i:c:s0378437123003308

DOI: 10.1016/j.physa.2023.128775

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