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• W2019414322 abstract "Imagine an experiment where a quantum particle inside a box is released at some time in some initial state. A detector is placed at a fixed location inside the box and its clicking signifies arrival of the particle at the detector. What is the time of arrival (TOA) of the particle at the detector ? Within the paradigm of the measurement postulate of quantum mechanics, one can use the idea of projective measurements to define the TOA. We consider a setup where a detector keeps making instantaneous measurements at regular finite time intervals until it detects the particle at time t, which is defined as the TOA. This is a stochastic variable and, for a simple lattice model of a free particle in a one-dimensional box, we find interesting features such as power-law tails in its distribution and in the probability of survival (non-detection). We propose a perturbative calculational approach which yields results that compare very well with exact numerics." @default.
• W2019414322 created "2016-06-24" @default.
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• W2019414322 date "2015-02-25" @default.
• W2019414322 modified "2023-10-01" @default.
• W2019414322 title "Quantum time of arrival distribution in a simple lattice model" @default.
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• W2019414322 doi "https://doi.org/10.1088/1751-8113/48/11/115304" @default.
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