Spatial correlations in hexagons generated via a Kerr nonlinearity

Gatti, A.; Mancini, Stefano

doi:10.1103/physreva.65.013816

Cited by 9 publications

(14 citation statements)

References 36 publications

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“…(6), which can be easily synthesised by, e.g., Fourier filtering. It is interesting to notice that in [21], a perfectly squeezed spatial mode was identified in the hexagonal pattern arising in a Kerr cavity and, as in our case, the result is independent of the parameter values. Although derived by different means from the ones used here, this result is very likely connected to the one we have just derived.…”

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confidence: 78%

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Quantum squeezing of optical dissipative structures

2006

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We show that any optical dissipative structure supported by degenerate optical parametric oscillators contains a special transverse mode that is free from quantum fluctuations when measured in a balanced homodyne detection experiment. The phenomenon is not critical as it is independent of the system parameters and, in particular, of the existence of bifurcations. This result is a consequence of the spatial symmetry breaking introduced by the dissipative structure. Effects that could degrade the squeezing level are considered. Introduction. Vacuum quantum fluctuations constitute the ultimate noise source affecting any coherent radiator, like a laser. These fluctuations define the so-called standard quantum limit as they set the maximum precision attainable with classical optical techniques, even rendering the latter useless in some applications such as precision metrology [1] and quantum information protocols [2,3]. It is possible however to break this limit with the help of quantum states of light: Squeezed states [2,3], displaying fluctuations below the standard quantum limit in one of the field quadratures, play a prominent role in this regard, and are by now routinely generated, e.g., by single-mode optical parametric oscillators/amplifiers [1,2,3,4].

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confidence: 78%

“…(11) we consider its projections onto the eigenvectors w 1x(1y) and w 2x(2y) introduced above: [20]. We further notice that the equation for c 2x is analogous to that derived in [21] for the hexagonal mode stationary phase in a Kerr cavity, which is later interpreted as the hexagonal pattern transverse momentum in [22].…”

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confidence: 99%

Quantum squeezing of optical dissipative structures

2006

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“…10). Using a 6 modes approximation [8,9] one finds that N i + N i+1 − N i+3 − N i+4 (being N i the number of photons of the mode i ) is a conserved quantity for the interaction Hamiltonian related to momentum conservation. This means that one should expect strong correlations among these sets of four Fourier modes.…”

Section: B Intensity Fluctuations and Correlationsmentioning

confidence: 99%

“…Due to the additional complexity, fluctuations and correlations in hexagonal optical patterns have been much less studied [8,9]. Furthermore, these two papers use an approximation in few modes to describe the pattern.…”

Section: Introductionmentioning

confidence: 99%

Fluctuations and correlations in hexagonal optical patterns

Gomila

Colet

2002

Phys. Rev. E

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We analyze the influence of noise in transverse hexagonal patterns in nonlinear Kerr cavities. The near field fluctuations are determined by the neutrally stable Goldstone modes associated to translational invariance and by the weakly damped soft modes. However these modes do not contribute to the far field intensity fluctuations which are dominated by damped perturbations with the same wave vectors than the pattern. We find strong correlations between the intensity fluctuations of any arbitrary pair of wave vectors of the pattern. Correlation between pairs forming 120• is larger than between pairs forming 180• , contrary to what a naive interpretation of emission in terms of twin photons would suggest. PACS number(s): 05.40.-a, 47.54.+r, 42.65.sf

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“…Some results have been obtained in the context of multimode interaction in linear approximations in other systems [16,17,18]. However, a full multimode nonlinear description is needed well above threshold where the emission of the critical modes necessarily stimulates spatial harmonics in both the pump and the signal, and undamped modes associated to spatial broken symmetries play an important role.…”

Section: Introductionmentioning

confidence: 99%

Non-classical behavior in multimode and disordered transverse structures in OPO

et al. 2003

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Abstract. We employ the Q representation to study the non-classical correlations that are present from below to above-threshold in the degenerate optical parametric oscillator. Our study shows that such correlations are present just above threshold, in the regime in which stripe patterns are formed, but that they also persist further above threshold in the presence of spatially disordered structures.PACS. 42.50.Lc Quantum fluctuations, quantum noise, and quantum jumps -42.50.Dv Nonclassical field states; squeezed, antibunched, and sub-Poissonian states; operational definitions of the phase of the field; phase measurements -42.65.Sf Dynamics of nonlinear optical systems; optical instabilities, optical chaos and complexity, and optical spatio-temporal dynamics

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Spatial correlations in hexagons generated via a Kerr nonlinearity

Cited by 9 publications

References 36 publications

Quantum squeezing of optical dissipative structures

Quantum squeezing of optical dissipative structures

Fluctuations and correlations in hexagonal optical patterns

Non-classical behavior in multimode and disordered transverse structures in OPO

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