Journal
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Volume 54, Issue 20, Pages -Publisher
IOP Publishing Ltd
DOI: 10.1088/1751-8121/abf45e
Keywords
quantum dynamics; quantum measurement; dynamical invariants
Categories
Funding
- Julian Schwinger Foundation
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This approach processes data from interferometric measurements on a closed quantum system at random times using a time correlation matrix to extract dynamical properties of the system. Through defining a generalized expectation value, distribution of time scales, average transition time, and correlation time are obtained. A classical limit is identified as separate from quantum fluctuations, which are characterized by resonances associated with poles of the generalized expectation value and linked to quantized Berry phase.
We propose an approach to process data from interferometric measurements on a closed quantum system at random times. For this purpose a time correlation matrix is introduced which enables us to extract dynamical properties of the quantum system. After defining a generalized expectation value we obtain a distribution of time scales, an average transition time and a correlation time. A classical limit exists which is separated from the quantum fluctuations. The latter are characterized by resonances associated with poles of the generalized expectation value. Its analytic behavior is studied and some generic properties are linked to a quantized Berry phase.
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