Squeezing Via Spontaneous Rotational Symmetry Breaking in a Four-Wave Mixing Cavity

Garcia-Ferrer, F.V.; Navarrete-Benlloch, Carlos; Valcárcel, Germán J. de; Roldán, Eugenio

doi:10.1109/jqe.2009.2028616

Cited by 9 publications

(26 citation statements)

References 19 publications

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“…It is again easy to check that, in terms of the system parameters, these combinations read as given in equation (33), and hence they coincide with the expressions found in the I > D case. This means that, even though the eigensystems are very different in the I > D and I < D cases, and furthermore the matrix  cannot be diagonalized in the I = D limit, this mathematical pathologyis not present in the physical observables.…”

Section: Resultssupporting

confidence: 68%

Active locking and entanglement in type II optical parametric oscillators

2018

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Type II optical parametric oscillators are amongst the highest-quality sources of quantum-correlated light. In particular, when pumped above threshold, such devices generate a pair of bright orthogonally-polarized beams with strong continuous-variable entanglement. However, these sources are of limited practical use, because the entangled beams emerge with different frequencies and a diffusing phase difference. It has been proven that the use of an internal wave-plate coupling the modes with orthogonal polarization is capable of locking the frequencies of the emerging beams to half the pump frequency, as well as reducing the phase-difference diffusion, at the expense of reducing the entanglement levels. In this work we characterize theoretically an alternative locking mechanism: the injection of a laser at half the pump frequency. Apart from being less invasive, this method should allow for an easier real-time experimental control. We show that such an injection is capable of generating the desired phase locking between the emerging beams, while still allowing for large levels of entanglement. Moreover, we find an additional region of the parameter space (at relatively large injections) where a mode with well defined polarization is in a highly amplitude-squeezed state.

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Section: Resultssupporting

confidence: 68%

Active locking and entanglement in type II optical parametric oscillators

2018

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“…As this mechanism (spontaneous symmetry breaking) occurs at any pump level above threshold, it is expected (and predicted [21,22]) that this quantum property is independent of that level, unlike usual single-mode DOPO squeezing that is (ideally) perfect only at DOPO threshold [24][25][26][27]. We note that similar behaviors happen in other nonlinear optical cavities in which a continuous symmetry is spontaneously broken above threshold [28][29][30][31][32]. Experimental evidence of such remarkable quantum properties have been recently reported [18][19][20].…”

Section: Introductionsupporting

confidence: 61%

Squeezing properties of a two-transverse-mode degenerate optical parametric oscillator with an injected signal

2011

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We study the classical and quantum properties of a degenerate optical parametric oscillator (DOPO) tuned to the first family of transverse modes at the down-converted frequency, under the injection of a resonant TEM 10 mode. Unlike the usual single-mode DOPO with injected signal, large levels of squeezing are predicted even for relatively large injections. We interpret these results in connection with the spontaneous symmetry breaking predicted for this system in the absence of injection and with the existence of a bifurcation giving rise to the switching on of the (noninjected) TEM 01 mode.

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“…We believe that the analyses presented in this article (together with the facts that the properties of the dark mode are not too sensitive to imperfections in the rotational symmetry of the DOPO [12] and that the phenomenon is present in other kinds of nonlinear resonators [33,34]) show that that the phenomenon of noncritical squeezing induced by spontaneous rotational symmetry breaking is a robust phenomenon.…”

Section: Discussionmentioning

confidence: 71%

“…Hence, the normalized correlation spectrum of the intensity difference (which can be measured with a simple spectrum analyzer) coincides with expression (34). Factor 2 in (35) comes from the relation between the intracavity and the output modes when the input modes (the pump laser and the outer modes) are coherent; this factor is 2γ s when time (frequency) is not normalized to γ −1 s (γ s ).…”

Section: Definition and Criteria For Squeezingmentioning

confidence: 66%

Noncritical quadrature squeezing in two-transverse-mode optical parametric oscillators

et al. 2010

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In this article we explore the quantum properties of a degenerate optical parametric oscillator when it is tuned to the first family of transverse modes at the down-converted frequency. Recently we found [C. Navarrete-Benlloch et al., Phys. Rev. Lett. 100, 203601 (2008)] that above threshold a TEM 10 mode following a random rotation in the transverse plane emerges in this system (we denote it as the bright mode), breaking thus its rotational invariance. Then, owing to the mode orientation being undetermined, we showed that the phase quadrature of the transverse mode orthogonal to this one (denoted as the dark mode) is perfectly squeezed at any pump level and without an increase in the fluctuations on its amplitude quadrature (which seems to contradict the uncertainty principle). In this article we go further in the study of this system and analyze some important features not considered previously. First we show that the apparent violation of the uncertainty principle is just that-"apparent"-as the conjugate pair of the squeezed quadrature is not another quadrature but the orientation of the bright mode (which is completely undetermined in the long term). We also study a homodyne scheme in which the local oscillator is not perfectly matched to the dark mode, as this could be impossible in real experiments due to the random rotation of the mode, showing that even in this case large levels of noise reduction can be obtained (also including the experimentally unavoidable phase fluctuations). Finally, we show that neither the adiabatic elimination of the pump variables nor the linearization of the quantum equations are responsible for the remarkable properties of the dark mode (which we prove analytically and through numerical simulations, respectively), which were simplifying assumptions used in Navarrete-Benlloch et al. [Phys. Rev. Lett. 100, 203601 (2008)]. These studies show that the production of noncritically squeezed light through spontaneous rotational symmetry breaking is a robust phenomenon.

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Squeezing Via Spontaneous Rotational Symmetry Breaking in a Four-Wave Mixing Cavity

Cited by 9 publications

References 19 publications

Active locking and entanglement in type II optical parametric oscillators

Active locking and entanglement in type II optical parametric oscillators

Squeezing properties of a two-transverse-mode degenerate optical parametric oscillator with an injected signal

Noncritical quadrature squeezing in two-transverse-mode optical parametric oscillators

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