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- W2950763574 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 emph{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 the setup where a detector keeps making instantaneous measurements at regular finite time intervals {emph{till}} it detects the particle at some 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.
- W2950763574 created "2019-06-27" @default.
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- W2950763574 date "2013-12-20" @default.
- W2950763574 modified "2023-09-27" @default.
- W2950763574 title "Quantum time of arrival distribution in a simple lattice model" @default.
- W2950763574 hasPublicationYear "2013" @default.
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