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Optica Quantum

Sub-Poissonian twin beams

Jan Peřina, Kishore Thapliyal, Ondřej Haderka, Václav Michálek, Radek Machulka

Published Apr 5, 2024• 5 citations
Publisher

Abstract

Using the method of photon addition into both beams of a multi-mode twin beam, a new kind of highly nonclassical states is obtained. As these states exhibit tight photon-number cross-correlations and are endowed with marginal sub-Poissonian photon-number distributions, we suggest to call them sub-Poissonian twin beams. We reveal their properties in the model as well as experimentally using mesoscopic twin beams. An intensified CCD camera as a photon-number resolving detector is applied to prepare as well as characterize the states with up to three photons added into each beam and containing from 2.8 to 7.5 photons in average in each beam. Their nonclassicality as well as non-Gaussianity are determined to demonstrate their prominent features. Spatial correlations of photons in the beams are exploited to improve the properties of the generated states. The beams are promising as the quantum light source for virtual-state entangled-photon spectroscopy. Their properties are prospective for monitoring and manipulating two-photon light–matter interactions.

DOI
10.1364/opticaq.509228

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Using the method of photon addition into both beams of a multi-mode twin beam, a new kind of highly nonclassical states is obtained. As these states exhibit tight photon-number cross-correlations and are endowed with marginal sub-Poissonian photon-number distributions, we suggest to call them sub-Poissonian twin beams. We reveal their properties in the model as well as experimentally using mesoscopic twin beams. An intensified CCD camera as a photon-number resolving detector is applied to prepare as well as characterize the states with up to three photons added into each beam and containing from 2.8 to 7.5 photons in average in each beam. Their nonclassicality as well as non-Gaussianity are determined to demonstrate their prominent features. Spatial correlations of photons in the beams are exploited to improve the properties of the generated states. The beams are promising as the quantum light source for virtual-state entangled-photon spectroscopy. Their properties are prospective for monitoring and manipulating two-photon light–matter interactions.
Two-beam states obtained by partial photon-number-resolving detection in one beam of a multi-mode twin beam are experimentally investigated using an intensified CCD camera. In these states, sub-Poissonian photon-number distributions in one beam are accompanied by sub-shot-noise fluctuations in the photon-number difference of both beams. Multi-mode character of the twin beam implying the beam nearly Poissonian statistics is critical for reaching sub-Poissonian photon-number distributions, which contrasts with the use of a two-mode squeezed vacuum state. Relative intensities of both nonclassical effects as they depend on the generation conditions are investigated both theoretically and experimentally using photon-number distributions of these fields. Fano factor, noise-reduction parameter, local and global nonclassicality depths, degree of photon-number coherence, mutual entropy as a non-Gaussianity quantifier, and negative quasi-distributions of integrated intensities are used to characterize these fields. Spatial photon-pair correlations as means for improving the field properties are employed. These states are appealing for quantum metrology and imaging including the virtual-state entangled-photon spectroscopy.
Multiple photon addition and subtraction applied to multi-mode thermal and sub-Poissonian fields as well as twin beams are mutually compared using one experimental setup. Twin beams (TWBs) with tight spatial correlations detected by an intensified CCD camera with high spatial resolution are used to prepare the initial fields. Up to three photons are added or subtracted to arrive at the nonclassical and non-Gaussian states. Only the photon-subtracted thermal states (TSs) remain classical. In general, the experimental photon-added states exhibit greater nonclassicality and non-Gaussianity than the comparable photon-subtracted states. Once photons are added or subtracted in twin beams, both processes result in comparable properties of the obtained states owing to twin-beam photon pairing.
Experimental realization of photon addition and subtraction in a twin beam is performed in one experimental setup. This allows us to directly compare the properties of photon added and subtracted twin beams whose similarity is manifested when switching the signal and idler beams: Photon addition (subtraction) in the signal beam modifies the signal (idler) beam. We illustrate this similarity using the corresponding photon-number distributions obtained by photon number resolving detection performed with an intensified CCD camera. Strong photon-number correlations in the two beams and sub-Poissonian marginal photon-number distributions are the most important feature of both fields.
Compound beams composed of simple experimental blocks (detected in simultaneous detection windows) that form specific quantum-correlated structures are suggested for simulating the properties of different quantum operations used for creating highly nonclassical and entangled multi-mode states needed in quantum communication, metrology, and information protocols. Qualitative and quantitative comparison of multi-photon addition and subtraction in compound multi-mode thermal as well as sub-Poissonian beams and multi-mode twin beams with their intensities extending over two orders in magnitude is provided. Adding and subtracting up to twenty photocounts, optimal conditions for the generation of experimental nonclassical states are identified. In general, photon addition is identified as advantageous over photon subtraction for the multi-mode thermal and sub-Poissonian beams: It induces (enhances) the nonclassicality in the former (latter) state. Contrary to this, photon subtraction outperforms photon addition in the multi-mode twin beams. Moreover, exploiting temporal photon-pair correlations in compound twin beams when post-selecting, nearly ideal experimental photon(s) addition is demonstrated. The results apply for the beams with mean photon number per mode much less than one.