Quantum backflow states from eigenstates of the regularized current operator.
In: Journal of Physics A: Mathematical & Theoretical, Jg. 46 (2013-11-29), Heft 47, S. 1-13
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Zugriff:
We present an exhaustive class of states with quantum backflow--the phenomenon in which a state consisting entirely of positive momenta has negative current and the probability flows in the opposite direction to the momentum. They are characterized by a general function of momenta subject to very weak conditions. Such a family of states is of interest in the light of a recent experimental proposal to measure backflow. We find one particularly simple state which has surprisingly large backflow--about 41% of the lower bound on flux derived by Bracken and Melloy. We study the eigenstates of a regularized current operator and we show how some of these states, in a certain limit, lead to our class of backflow states. This limit also clarifies the correspondence between the spectrum of the regularized current operator, which has just two non-zero eigenvalues in our chosen regularization, and the usual current operator. [ABSTRACT FROM AUTHOR]
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Quantum backflow states from eigenstates of the regularized current operator.
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Autor/in / Beteiligte Person: | Halliwell, J. J. ; Gillman, E. ; Lennon, O. ; Patel, M. ; Ramirez, I. |
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Zeitschrift: | Journal of Physics A: Mathematical & Theoretical, Jg. 46 (2013-11-29), Heft 47, S. 1-13 |
Veröffentlichung: | 2013 |
Medientyp: | academicJournal |
ISSN: | 1751-8113 (print) |
DOI: | 10.1088/1751-8113/46/47/475303 |
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