Optimization of photon correlations by frequency filtering

González-Tudela, Alejandro; Valle, Elena del; Laussy, Fabrice P.

doi:10.1103/physreva.91.043807

Cited by 31 publications

(48 citation statements)

References 57 publications

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“…Result (15) reduces to the known results for τ = 0, for the vacuum state withn = 0 [6] and for the thermal state withn = 0 [11], since A(0) = α and provided θ = 2ϕ, which to minimize intensity fluctuations it is always optimal to squeeze the amplitude quadrature. The quantity u(τ )n(τ ) − v(τ )s(τ ) is given by (A1) in Appendix A and 2) (0.0674) = g (2) (0) = 2 − g (2) (0.593) and g (2) (τ ) is monotonically increasing after achieving its minimum.…”

Section: Temporal Second-order Correlation Functionmentioning

confidence: 97%

“…Our result (15) for the correlation function is exact and is based on dynamically generating the Gaussian state first and subsequently determining the time evolution of the system without assuming the field to be statistically stationary.…”

Section: Summary and Discussionmentioning

confidence: 99%

“…[6], use is made of commutation relations that depend on the filter shape used in the measurement process and so no direct comparison can be made with our result (15). It is interesting that the use of frequency filtering has been used to obtain frequencyresolved photon correlations that are used to optimize photon correlations [15].…”

Section: Summary and Discussionmentioning

confidence: 99%

“…We calculate the second-order coherence function (15) for Gaussian states, viz., displaced-squeezed thermal states, where the dynamics is governed solely by the general, degenerate parametric amplification Hamiltonian (3). Our result (15) for the correlation function is exact and is based on dynamically generating the Gaussian state first and subsequently determining the time evolution of the system without assuming the field to be statistically stationary.…”

Section: Summary and Discussionmentioning

confidence: 99%

“…In this section, we consider two particular cases for the correlation function derived from (15). First, the case of the time evolution of the system for a strictly displaced thermal state, viz., r = 0, and, secondly, for the time evolution of a strictly squeezed thermal state, viz., α = 0.…”

Section: Particular Correlation Functionsmentioning

confidence: 99%

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Temporal second-order coherence function for displaced-squeezed thermal states

Alexanian

2015

Journal of Modern Optics

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We calculate the quantum mechanical, temporal second-order coherence function for a singlemode, degenerate parametric amplifier for a system in the Gaussian state, viz., a displaced-squeezed thermal state. The calculation involves first the dynamical generation at time t of the Gaussian state from an initial thermal state and subsequent measurements of two photons a time τ ≥ 0 apart. The generation of the Gaussian state by the parametric amplifier ensures that the temporal second-order coherence function depends only on τ , via τ /t, for given Gaussian state parameters, Gaussian state preparation time t, and average numbern of thermal photons. It is interesting that the time evolution for displaced thermal states shows a power decay in τ /t rather than an exponential one as is the case for general, displaced-squeezed thermal states.

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Section: Temporal Second-order Correlation Functionmentioning

confidence: 97%

Section: Summary and Discussionmentioning

confidence: 99%

Section: Summary and Discussionmentioning

confidence: 99%

Section: Summary and Discussionmentioning

confidence: 99%

Section: Particular Correlation Functionsmentioning

confidence: 99%

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Temporal second-order coherence function for displaced-squeezed thermal states

Alexanian

2015

Journal of Modern Optics

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Second‐Order Autocorrelation Function of Spectrally Filtered Light From an Incoherently Pumped Two‐Level System

2022

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Light with zero second-order autocorrelation function, g (2) (0), emitted by single-photon source (SPS), for example, two-level system (TLS), is usually considered as being in a Fock state with one photon in a certain electromagnetic mode of free space. However, real SPSs have finite linewidths and excite all modes lying within the linewidth. It is shown that the zero value of g (2) (0) of light emitted by an incoherently pumped TLS is a consequence of the quantum interference of electromagnetic modes lying within the linewidth. Applying the quantum regression theorem for out-of-time-ordered correlation functions, an analytical expression for g (2) (0) is obtained for the light emitted by a TLS and passed through a spectral filter. It is shown that narrowing the spectral width of the band-pass filter inevitably leads to an increase in g (2) (0). g (2) (𝝉) is found and it is demonstrated that certain spectral filters lead to its nonmonotonic time dependence. These results open up the possibility of controlling the statistics of the emitted light using a spectral filter, which can find applications in quantum communication and cryptography.

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Photon Correlations from the Mollow Triplet

Carreño

Valle

Laussy

2017

Laser & Photonics Reviews

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Photon correlations between the photoluminescence peaks of the Mollow triplet have been known for a long time, and recently hailed as a resource for heralded single-photon sources. Here, we provide the full picture of photon-correlations at all orders (we deal explicitly with up to four photons) and with no restriction to the peculiar frequency windows that enclose the peaks. We show that a rich multi-photon physics lies between the peaks, due to transitions involving virtual photons, and thereby much more strongly correlated than those transiting through the real states. Specifically, we show that such emissions occur in bundles of photons rather than as successive, albeit correlated, photons. We provide the recipe to frequency-filter the emission of the Mollow triplet to turn it into a versatile and tunable photon source, allowing in principle all scenarios of photon emission, with advantages already at the one-photon level, i.e., providing more strongly correlated heralded single-photon sources than those already known

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Optimization of photon correlations by frequency filtering

Cited by 31 publications

References 57 publications

Temporal second-order coherence function for displaced-squeezed thermal states

Temporal second-order coherence function for displaced-squeezed thermal states

Second‐Order Autocorrelation Function of Spectrally Filtered Light From an Incoherently Pumped Two‐Level System

Photon Correlations from the Mollow Triplet

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