Homodyning the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="mml51" display="inline" overflow="scroll" altimg="si51.gif"><mml:msup><mml:mrow><mml:mi>g</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mn>2</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:msup><mml:mrow><mml:mo>(</mml:mo><mml:mn>0</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math> of Gaussian states

Olivares, Stefano; Cialdi, S.; Paris, Matteo G. A.

doi:10.1016/j.optcom.2018.05.090

Cited by 13 publications

(5 citation statements)

References 40 publications

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“…The strong correlation between the created photon pairs can be verified by measuring the normalized secondorder moment [41,129,130]. Displacing the squeezed vacuum in phase-space produces quadrature squeezed states of light and results in interesting features in the state's characteristics like for example on sub-Poissonian behaviour and clear non-classical features that have been probed by measuring the second-order normalized moment [84,88,89,131]. However, twin-photon states can also be created from the emission from solid state.…”

Section: Photon-pair States and Other Multi-photon Statesmentioning

confidence: 96%

“…Also, in the context of the generation and characterization of squeezed states, it has been used to probe the higher-order moments of displaced squeezed states [84] and to reconstruct the wave function of the state [88]. When restricting oneself to Gaussian states of light, it is possible to access the autocorrelation function by measuring the covariance matrix of the state as Gaussian states are fully described by it [89]. The homodyne detection can also be extended to systems beyond the optical domain and has been demonstrated in the context of characterizing microwave photons in superconducting quantum circuits [90].…”

Section: Accessing the Normalized Higher-order Moments Via Homodyne D...mentioning

confidence: 99%

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Measuring higher-order photon correlations of faint quantum light: a short review

Laiho,

Dirmeier,

Schmidt

et al. 2021

Preprint

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Normalized correlation functions provide expedient means for determining the photon-number properties of light. These higher-order moments, also called the normalized factorial moments of photon number, can be utilized both in the fast state classification and in-depth state characterization. Further, non-classicality criteria have been derived based on their properties. Luckily, the measurement of the normalized higher-order moments is often loss-independent making their observation with lossy optical setups and imperfect detectors experimentally appealing. The normalized higher-order moments can for example be extracted from the photon-number distribution measured with a true photon-number-resolving detector or accessed directly via manifold coincidence counting in the spirit of the Hanbury Brown and Twiss experiment. Alternatively, they can be inferred via homodyne detection. Here, we provide an overview of different kind of state classification and characterization tasks that take use of normalized higher-order moments and consider different aspects in measuring them with free-traveling light.

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Section: Photon-pair States and Other Multi-photon Statesmentioning

confidence: 96%

Section: Accessing the Normalized Higher-order Moments Via Homodyne D...mentioning

confidence: 99%

Measuring higher-order photon correlations of faint quantum light: a short review

Laiho,

Dirmeier,

Schmidt

et al. 2021

Preprint

View full text Add to dashboard Cite

show abstract

“…, q N , p N ) [37,39]. On the other hand, it is worth mentioning that using the covariance matrix and the vector of means it is possible to calculate observables of the system such as the zero-delay secondorder correlation function g (2) (0) [49].…”

Section: Linear Dynamics Of Bosonic Systemsmentioning

confidence: 99%

Generalized Lindblad master equations in quantum reservoir engineering

Bernal-García¹,

Huang²,

Miroshnichenko³

et al. 2021

Preprint

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Reservoir engineering has proven to be a practical approach to control open quantum systems, preserving quantum coherence by appropriately manipulating the reservoir and system-reservoir interactions. In this context, for systems comprised of different parts, it is common to describe the dynamics of a subsystem of interest by making an adiabatic elimination of the remaining components of the system. This procedure often leads to an effective master equation for the subsystem that is not in the well-known Gorini-Kossakowski-Lindblad-Sudarshan form (here called standard Lindblad form). Instead, it has a more general structure (here called generalized Lindblad form), which explicitly reveals the dissipative coupling between the various components of the subsystem. In this work, we present a set of dynamical equations for the first and second moments of the canonical variables for linear systems, bosonic and fermionic, described by master equations in a generalized Lindblad form. Our method is efficient and allows one to obtain analytical solutions for the steady state. Further, we include as a review some covariance matrix methods for which our results are particularly relevant, paying special attention to those related to the measurement of entanglement. Finally, we prove that the Duan criterion for entanglement is also applicable to fermionic systems.

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“…The addressed states have been generated through our setup following the well-established procedure described in Refs. [6,7,20,21]. Figure 11 shows the experimental homodyne traces of three examples of different states (left) and their tomographic reconstructions, represented in the phase space (right).…”

Section: Application: Reliable Generation Of Displaced Squeezed Statesmentioning

confidence: 99%

Novel technique for the active stabilization of the relative phase between seed and pump in an optical parametric oscillator

Cialdi,

Suerra,

Paris

et al. 2021

Preprint

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We design and demonstrate a novel technique for the active stabilization of the relative phase between seed and pump in an optical parametric oscillator (OPO). We show that two error signals for the stabilization of the OPO frequency, based on Pound-Drever-Hall (PDH), and of the seed-pump relative phase can be obtained just from the reflected beam of the OPO cavity, without the necessity of two different modulation and demodulation stages. We also analyze the effect of the pump in the cavity stabilization for different seed-pump relative phase configurations, resulting in an offset in the PDH error signal, which has to be compensated. Finally, an application of our technique in the reliable generation of squeezed coherent states is presented.

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Homodyning the g(2)(0) of Gaussian states

Cited by 13 publications

References 40 publications

Measuring higher-order photon correlations of faint quantum light: a short review

Measuring higher-order photon correlations of faint quantum light: a short review

Generalized Lindblad master equations in quantum reservoir engineering

Novel technique for the active stabilization of the relative phase between seed and pump in an optical parametric oscillator

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