Lower bounds for the time-bandwidth product of a single-photon pulse

Averchenko, V; Reiss, D. A.; Sych, D.; Leuchs, Gerd

doi:10.1088/1402-4896/ab5973

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Lower bounds for the time-bandwidth product of a single-photon pulse

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Leuchs, Gerd
Leuchs Emeritus Group, Emeritus Groups, Max Planck Institute for the Science of Light, Max Planck Society;

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Averchenko, V., Reiss, D. A., Sych, D., & Leuchs, G. (2020). Lower bounds for the time-bandwidth product of a single-photon pulse. PHYSICA SCRIPTA, 95(3): 034012. doi:10.1088/1402-4896/ab5973.

Cite as: https://hdl.handle.net/21.11116/0000-000F-91ED-2

Abstract

Two complementary properties, such as frequency and duration of a pulse, cannot be precisely measured simultaneously. The lower bound on the time-bandwidth product, known also as uncertainty relation, plays a very important role in quantum theory. In this work, we consider single-photon pulses with arbitrary temporal and spectral profiles, and derive a lower bound for the single-photon time-bandwidth product. We investigate how this bound depends on the modal purity, the single-mode fidelity, and the effective number of modes. Our results can be used to solve the inverse problem, namely, to estimate characteristics of the single-photon pulse based on the time-bandwidth product obtained from temporal and spectral measurements of the pulse.