Continuous Time-Dependent Measurements: Quantum Anti-Zeno Paradox with Applications
Abstract
We derive differential equations for the modified Feynman propagator and for the density operator describing time-dependent measurements or histories continuous in time. We obtain an exact series solution and discuss its applications. Suppose the system is initially in a state with density operator and the projection operator is measured continuously from to , where is a projector obeying and a unitary operator obeying and some smoothness conditions in . Then the probability of always finding from to is unity. Generically and the watched system is sure to change its state, which is the anti-Zeno paradox noted by us recently. Our results valid for projectors of arbitrary rank generalize those obtained by Anandan and Aharonov for projectors of unit rank.
Keywords
Cite
@article{arxiv.quant-ph/0102019,
title = {Continuous Time-Dependent Measurements: Quantum Anti-Zeno Paradox with Applications},
author = {A. P. Balachandran and S. M. Roy},
journal= {arXiv preprint arXiv:quant-ph/0102019},
year = {2014}
}
Comments
16 pages, latex; new material and references added