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Journal of Experimental and Theoretical Physics Letters

Quantum-Optical Mode Gate for Nonclassical Squeezed Light

Vladislav Sukharnikov, Olga V. Tikhonova

Published May 1, 2019• 0 citations
Publisher

Abstract

A theoretical approach has been developed in the Schmidt mode formalism and photon operators in these modes to describe the spectral properties of the light generated in the nonlinear process of sum-frequency generation. A special regime at which the frequency correlations of photons in the output beams are suppressed has been described in detail. The control of the mode composition and spectral properties of the nonclassical squeezed light used to illuminate the signal channel with the possibility of generating a squeezed vacuum at the sum-frequency mode has been demonstrated at this regime.

DOI
10.1134/s0021364019090169

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A theoretical approach has been developed in the Schmidt mode formalism and photon operators in these modes to describe the spectral properties of the light generated in the nonlinear process of sum-frequency generation. A special regime at which the frequency correlations of photons in the output beams are suppressed has been described in detail. The control of the mode composition and spectral properties of the nonclassical squeezed light used to illuminate the signal channel with the possibility of generating a squeezed vacuum at the sum-frequency mode has been demonstrated at this regime.
Nonlinear optics underpins quantum photonics by enabling the generation and control of quantum states of light. We present new applications of optical resonators as mode selectors in nonlinear processes. First, we show that cavity-enhanced spontaneous parametric down-conversion can generate spectrally uncorrelated photon pairs with improved decorrelation and wavelength flexibility. Second, we demonstrate that a cavity-assisted sum-frequency generation process realizes a quantum pulse gate with high-resolution temporal-mode selectivity and precise spectral control. Our theoretical framework provides a general methodology for analyzing cavity-enhanced nonlinear processes and highlights the versatility of optical resonators as powerful tools for engineering quantum light.
Control over the spectral properties of the bright squeezed vacuum (BSV), a highly multimode nonclassical macroscopic state of light that can be generated through high-gain parametric down conversion, is crucial for many applications. In particular, in several recent experiments BSV is generated in a strongly pumped SU(1,1) interferometer to achieve phase supersensitivity, perform broadband homodyne detection, or tailor the frequency spectrum of squeezed light. In this work, we present an analytical approach to the theoretical description of BSV in the frequency domain based on the Bloch-Messiah reduction and the Schmidt-mode formalism. As a special case we consider a strongly pumped SU(1,1) interferometer. We show that different moments of the radiation at its output depend on the phase, dispersion, and the parametric gain in a nontrivial way, thereby providing additional insights on the capabilities of nonlinear interferometers. In particular, a dramatic change in the spectrum occurs as the parametric gain increases.
The generation of nonclassical states of light with specified frequency-dependent squeezing by way of introducing a correlation between the phase and amplitude of the input field is considered. Three schemes for measuring amplitude fluctuations of the input beam, based on a nondemolition measurement of the intensity in a nonlinear cubic crystal, the effect of light rectification in a quadratic optical crystal, and the use of a non-degenerate optical parametric oscillator, are proposed. The maximum possible value of noise suppression is estimated for each scheme. The prospects for practical realization of the proposed method for generation of frequency-dependent squeezed states are discussed.
We consider theoretically how to extract mode-dependent single photons from a time and frequency multimode nonclassical beam. To achieve this task, we calculate the properties of sum frequency generation with a pulse shaped pump, taking into account both temporal and spatial degrees of freedom. We show that using a noncollinear configuration it is possible to achieve a mode-dependent weakly reflective beam splitter, with Schmidt number compatible with photon extraction for continuous variable regime tasks. We make explicit the possible application to the degaussification of highly multimode squeezed frequency combs.