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Optics Express

Generation of photon-number squeezed states with a fiber-optic symmetric interferometer

Aruto Hosaka, Kenichi Hirosawa, Ryota Sawada, Fumihiko Kannari

Published Jul 14, 2015• 8 citations
Publisher

Abstract

We numerically and experimentally demonstrate photon-number squeezed state generation with a symmetric fiber interferometer in an 800-nm wavelength and compared with an asymmetric fiber interferometer, although photon-number squeezed pulses have been generated only with asymmetric interferometers. Even though we obtain -1.0dB squeezing with an asymmetric fiber interferometer, since perfect spectral phase and intensity matching between displacement and signal pulses are achieved with a symmetric fiber interferometer, we obtain better squeezing of -3.1dB. We also numerically calculate and clarify this scheme's usefulness at a 1.55-μm wavelength.

DOI
10.1364/oe.23.018850

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We numerically and experimentally demonstrate photon-number squeezed state generation with a symmetric fiber interferometer in an 800-nm wavelength and compared with an asymmetric fiber interferometer, although photon-number squeezed pulses have been generated only with asymmetric interferometers. Even though we obtain -1.0dB squeezing with an asymmetric fiber interferometer, since perfect spectral phase and intensity matching between displacement and signal pulses are achieved with a symmetric fiber interferometer, we obtain better squeezing of -3.1dB. We also numerically calculate and clarify this scheme's usefulness at a 1.55-μm wavelength.
Photon number of coherent light obeys Poisson distribution, and its variance is proportional to the intensity of the light. Photon-number squeezed state is the light whose variance is reduced below the standard quantum limit. In general, photon-number squeezed state has been generated with femtosecond pulses and asymmetric fiber interferometer [1]. However, due to difference of nonlinearity in the two arms, mismatch of spectrum shape and phase is occurred for two pulses. As a result, the squeezing level becomes lower. It is especially true for pulses in the normal dispersion regime.
The photon-number squeezed light generation using a nonlinear polarization interferometer (NOPI) is analyzed numerically. The NOPI is constructed by the cascade connection of 90 degree twisted couple of polarization-maintaining fibers. Since it is possible to generate photon-number squeezed light by only passing an optical pulse through an optical fiber without spatial alignment, the squeezed light can be generated easily and stably in this scheme. The evolution of the quantum noise for the optical pulse spectra is calculated using the quantized nonlinear Schrödinger equation and linearization approximation. The magnitude of maximum squeezing in the numerical analysis is estimated to be about —13 dB. Since the arbitrary dividing ratio and two outputs can be obtained by merely turning the half-wave plates on the input and output side, photonnumber squeezed light can be generated for the broad input and output power ranges. It is clarified that the generation mechanism is contrastive for the turning direction of half-wave plate on the output.
We analyze numerically the generation of photon-number squeezed light using an asymmetric fiber loop mirror. For photon-number squeezed light generation, the maximum squeezing can be obtained using this method. The evolution of the quantum noise for the optical pulse spectra is calculated using the quantized nonlinear Schrödinger equation and linearization approximation. It is shown that the squeezed light is generated by removing the increased quantum noise part of the spectrum and enhancing the decreased quantum noise part of the spectrum, by the interference of two pulses at the beam splitter. Although the mechanism of squeezing is similar to that of a spectral filter, the maximum squeezing is as large as -13 dB due to the interference.
We propose a new scheme of photon-number squeezed light generation using a nonlinear polarization interferometer which is constructed by the cascade connection of two polarization-maintaining fibers. Since it is possible to generate photon-number squeezed light by only passing an optical pulse through an optical fiber without spatial alignment, it is expected that the squeezed light can easily and stably be generated in this scheme. The magnitude of maximum squeezing in the numerical analysis is estimated to be about -13 dB. Since the arbitrary dividing ratio and two outputs can be obtained by merely turning the half-wave plates on the input and output side, photon-number squeezed light can be generated for the broad input and output power ranges.
We report on the generation of polarization squeezing of intense, short light pulses using an asymmetric fiber-optic Sagnac interferometer. The Kerr nonlinearity of the fiber is exploited to produce independent amplitude squeezed pulses. The polarization squeezing properties of spatially overlapped amplitude squeezed and coherent states are discussed. The experimental results for a single-amplitude squeezed beam are compared to the case of two phase-matched, spatially overlapped amplitude squeezed pulses. For the latter, noise variances of $\ensuremath{-}3.4\mathrm{dB}$ below shot noise in the S0{S}_{0}S0​ and the S1{S}_{1}S1​ and of $\ensuremath{-}2.8\mathrm{dB}$ in the S2{S}_{2}S2​ Stokes parameters were observed, which is comparable to the input squeezing magnitude. Polarization squeezing, that is, squeezing relative to a corresponding polarization minimum uncertainty state, was generated in S1.{S}_{1}.S1​.
Direct photon-number squeezing is demonstrated, for the first time to our knowledge, in a nonlinear fiber-optic interferometer. Launching 126-fs solitons into a highly asymmetric Sagnac loop, the maximum photocurrent noise reduction was $3.9\ifmmode\pm\else\textpm\fi{}0.2\mathrm{dB}$ below shot noise, corresponding to $6.0\ifmmode\pm\else\textpm\fi{}0.9\mathrm{dB}$, when corrected for linear losses. The loop is a model system for squeezing generated by the interference of two pulses after nonlinear propagation through a fiber.