Abstract
We propose an approach to position measurements based on the hypothesis that the action of a position detector on a quantum system can be effectively described by a dissipative disordered potential. We show that such kind of potential is able, via the dissipation-induced Anderson localization, to contemporary localize the wave function of the system and to dissipate information to modes bounded to the detector. By imposing a diabaticity condition we demonstrate that the dissipative dynamics between the modes of the system leads to a localized energy exchange between the detector and the rest of the environment - the "click" of the detector - thus providing a complete deterministic description of a position measurement. We finally numerically demonstrate that our approach is consistent with the Born probability rule.
Original language | English |
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Article number | 032114 |
Journal | Physical Review A - Atomic, Molecular, and Optical Physics |
Volume | 91 |
Issue number | 3 |
DOIs | |
Publication status | Published - 18 Mar 2015 |
ASJC Scopus subject areas
- Atomic and Molecular Physics, and Optics