Phase Diffusion and Quantum Noise in the Optical Parametric Oscillator: A Semiclassical Approach

Courtois, J.-Y.; Smith, A. D.; Fabre, Claude; Reynaud, Serge

doi:10.1080/09500349114550201

Cited by 31 publications

(18 citation statements)

References 25 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The novelty is related to the presence of additional idlers and multimode squeezing [21] and large phase fluctuations resulting from a continuous degeneracy of the oscillator state. The latter is analogous to an extensively studied effect in optical parametric oscillators [25][26][27][28][29][30][31][32][33]. Similar parametric oscillations were recently observed and investigated in a mechanical resonator [34].…”

Section: Introductionmentioning

confidence: 70%

Nondegenerate parametric oscillations in a tunable superconducting resonator

et al. 2018

View full text Add to dashboard Cite

We investigate nondegenerate parametric oscillations in a superconducting microwave multimode resonator that is terminated by a superconducting quantum interference device (SQUID). The parametric effect is achieved by modulating magnetic flux through the SQUID at a frequency close to the sum of two resonator-mode frequencies. For modulation amplitudes exceeding an instability threshold, self-sustained oscillations are observed in both modes. The amplitudes of these oscillations show good quantitative agreement with a theoretical model. The oscillation phases are found to be correlated and exhibit strong fluctuations which broaden the oscillation spectral linewidths. These linewidths are significantly reduced by applying a weak on-resonant tone, which also suppresses the phase fluctuations. When the weak tone is detuned, we observe synchronization of the oscillation frequency with the frequency of the input. For the detuned input, we also observe an emergence of three idlers in the output. This observation is in agreement with theory indicating four-mode amplification and squeezing of a coherent input.

show abstract

Section: Introductionmentioning

confidence: 70%

Nondegenerate parametric oscillations in a tunable superconducting resonator

et al. 2018

View full text Add to dashboard Cite

show abstract

“…Continuous-wave (CW) degenerate or non-degenerate optical parametric amplifiers (DOPA or NOPA) operating below threshold have been one of the best schemes 2 producing entangled states of light. The existence of entanglement between amplitude and phase quadratures of intense signal and idler modes (named as twin beams) produced from optical parametric oscillator (OPO) operating above threshold was theoretically predicted by Reid and Drummond in 1988 firstly and then was successively analyzed with detailed theoretical calculations [2][3][4][5][6] . Especially, C. Fabre et al presented very useful expressions for calculating quantum correlations of amplitude and phase components between output twin beams from a non-degenerate OPO (NOPO) above threshold by means of a semi-classical analysis of the noise characteristics 4 .…”

Section: Ocis Codes: 1904410 2706570mentioning

confidence: 99%

Experimental demonstration of quantum entanglement between frequency-nondegenerate optical twin beams

Tan

Jia

et al. 2006

Opt. Lett.

View full text Add to dashboard Cite

Abstract:The quantum entanglement of amplitude and phase quadratures between two intense optical beams with the total intensity of 22mW and the frequency difference of 1nm, which are produced from an optical parametric oscillator operating above threshold, is experimentally demonstrated with two sets of unbalanced Mach-Zehnder interferometers.The measured quantum correlations of intensity and phase are in reasonable agreement with the results calculated based on a semi-classical analysis of the noise characteristics given by C. Fabre et al. OCIS codes: 190.4410, 270.6570 In recent years quantum information with continuous variables (CV) where f is the noise frequency, S 0 is the shot noise limit (SNL), B and ξ =T/(T+δ) are the cavity bandwidth and the output coupling efficiency of NOPO respectively (T -the transmission coefficient of the output coupling mirror; δ -extra intracavity losses), η is the detection efficiency,is the pump parameter (P -the pump power, P 0 -the threshold pump power of NOPO). The intensity difference quantum correlations of twin beams were experimentally measured with self-homodyne detectors by different groups and were effectively applied [7][8][9][10][11][12] . However, the phase correlation of the twin beams was not observed for a long time Almost at a parallel period we were also devoting our efforts to measure the quantum entanglement of twin beams from NOPO above threshold. The measurement scheme used by us is basically same with that presented by O. Glockl et al. inRef.[15], where they performed sub-shot-noise measurement of the phase quadratures of intense pulsed light 16 . Considering that the phase correlation will be significantly affected by the phase fluctuation of the pump laser 6 and the restricted condition deducing Eqs. (1) and (2) in Ref. [4] requires the finesse of the NOPO cavity for the pump laser much lower than that for the twin beams, in our design the ratio of the cavity finesses for the pump and the twin beams is 16/164 which is much smaller than that in Refs.[13] and [14]. Due to the lower finesse the resonant peak of the pump laser in the cavity is relatively flat and thus the threshold power is higher (~120mW).At first, using a pair of Mach-Zehnder (M-Z) interferometers with unbalanced arm-lengths we detected the amplitude and phase noise of signal and idler output fields from a NOPO above threshold at a certain analysis frequency (20MHz), respectively. Then, the quantum correlations were denoted by the noise levels of the intensity difference and the phase sum of the photocurrents measured by two unbalanced interferometers. wave plate P1 (P2). Rotating the polarization orientation of P1 (P2) we can conveniently switch between phase and amplitude measurements 15 . In our system, the distance difference of two arms ∆L is 7.5m which matches the analysis frequency of 20MHz to make θ=π. The difference of the 5 dc photocurrents of D1 and D2 (D3 and D4) serves as the error signal and is fed back onto the PZT mounted on one of mirrors of the interferometer to...

show abstract

“…Correspondence to: coudreau@spectro.jussieu.fr this relative phase between signal and idler undergoes a diffusion process [17], similarly to the phase of a laser field. In order to be able to measure experimentally these phase anticorrelations, one can use a phase locked OPO : one possible technique proposed in [18] is to use a birefringent plate inserted inside the OPO cavity and making an angle with the axis of the non-linear crystal which leads to self-phase locking.…”

Section: Introductionmentioning

confidence: 99%

Non-linear and quantum optics of a type II OPO containing a birefringent element

et al. 2004

Self Cite

View full text Add to dashboard Cite

Abstract. We describe theoretically the quantum properties of a type-II Optical Parametric Oscillator containing a birefringent plate which induces a linear coupling between the orthogonally polarized signal and idler beams and results in phase locking between these two beams. As in a standard OPO, the signal and idler waves show large quantum correlations which can be measured experimentally due to the phase locking between the two beams. We study the influence of the waveplate on the various criteria characterizing quantum correlations. We show in particular that the quantum correlations can be maximized by using optimized quadratures.PACS. 42.65.Yj Optical parametric oscillators and amplifiers -42.25.Lc Birefringence -42.50.Lc Quantum fluctuations, quantum noise, and quantum jumps

show abstract

Phase Diffusion and Quantum Noise in the Optical Parametric Oscillator: A Semiclassical Approach

Cited by 31 publications

References 25 publications

Nondegenerate parametric oscillations in a tunable superconducting resonator

Nondegenerate parametric oscillations in a tunable superconducting resonator

Experimental demonstration of quantum entanglement between frequency-nondegenerate optical twin beams

Non-linear and quantum optics of a type II OPO containing a birefringent element

Contact Info

Product

Resources

About