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

Averchenko V, Reiß DA, Sych D, Leuchs G (2020)

Publication Type: Journal article

Publication year: 2020

Journal

Physica Scripta Institute of Physics

Book Volume: 95

Article Number: 034012

Journal Issue: 3

DOI: 10.1088/1402-4896/ab5973

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.

Authors with CRIS profile

Gerhard Leuchs Lehrstuhl für Experimentalphysik (Optik)

Involved external institutions

Saint Petersburg State University (SPbU) / Санкт-Петербургский государственный университет (СПбГУ)

Russian Federation (RU) Lebedev Physical Institute of the Russian Academy of Sciences (LPI RAS) / Физи́ческий институ́т имени П.Н.Ле́бедева Российской академии наук (ФИАН)

Russian Federation (RU) Freie Universität Berlin

Germany (DE)

How to cite

APA:

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). https://doi.org/10.1088/1402-4896/ab5973

MLA:

Averchenko, V., et al. "Lower bounds for the time-bandwidth product of a single-photon pulse." Physica Scripta 95.3 (2020).

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