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European Quantum Electronics Conference (EQEC)

Photon-number squeezed pulse generation with symmetric mach-zehnder interferometer

Aruto Hosaka, Kenichi Hirosawa, Ryota Sawada, Fumihiko Kannari

Published Jul 21, 2014• 0 citations
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Abstract

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.

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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.
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.
The output state of a nonlinear Mach-Zehnder interferometer is shown to be an effective number-phase minimum-uncertainty state with reduced photon-number uncertainty. This interferometer includes an optical Kerr medium in one arm with a coherent-state input. Unusual ``crescent''-shaped squeezing which preserves photon number is revealed in the unitary evolution associated with a self-phase-modulation in the Kerr medium. Photon-number uncertainty 〈\ensuremath{\Delta}n${^}^{2}$〉 can be reduced by interference with a coherent-state reference wave. It can be minimized to 〈n^〉1/3{〉}^{1/3}〉1/3, far below the limit 〈n^〉2/3{〉}^{2/3}〉2/3 achieved by an ordinary squeezed state. The increased phase uncertainty due to self-phase-modulation and the reduced photon-number uncertainty still preserve the minimum-uncertainty product 〈\ensuremath{\Delta}n${^}^{2}$〉〈\ensuremath{\Delta}\ensuremath{\Phi}${^}^{2}$〉\ensuremath{\sim}(1/4). .AE
Summary form only given. Several schemes to generate squeezed light by use of the Kerr nonlinearity in optical fibers have been devised. The most recent experiments used asymmetric Sagnac loops to produce amplitude squeezing. In our experiment the Sagnac geometry is "unfolded" into a Mach-Zehnder, wherein the two arms of the interferometer correspond to the polarization modes of a single-mode PM fiber. This setup allows us to switch from an asymmetric to a symmetric interferometer, and gives us full control of the phase and amplitude of the two interfering pulses. With these degrees of freedom, we are able to maximize noise reduction and perform a full measurement of the noise properties of the soliton squeezed pulses.
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.
A new system for entangled photon-pair generation using an all-fiber optic scheme consists of a fiber optic Mach-Zehnder interferometer (MZI) incorporating a fiber optic ring resonator. The Kerr nonlinearity effect in the fiber ring resonator is exploited for the generation of two independent squeezed beams. The advantage of such a system is that it requires a simple arrangement without any optical pumping parts or bulky optical components. Polarized light pulse trains are launched randomly into a MZI, and one part of the light is delayed in the longer path. The output pulses from both arms of the MZI enter a fiber optic ring resonator. A polarization controller controls the polarization states of the light pulses while they circulate in the ring resonator. The superposition of the nonlinear light pulses in a fiber optic ring resonator randomly occur. These forms are seen on an avalanche photodetector. The results are in good agreement with previous work.