Direct Schmidt number measurement of high-gain parametric down conversion

Dyakonov, I. V.; Sharapova, Polina R.; Iskhakov, T. Sh.; Leuchs, Gerd

doi:10.1088/1612-2011/12/6/065202

Cited by 19 publications

(16 citation statements)

References 19 publications

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“…We want to point out that squeezing value and Schmidt decomposition are independent as the Schmidt decomposition is performed on the spectral correlation function f of the operators. However as shown in [35] the relative number of photons per mode is changing with pump power. This means that at high gain most of the photons will be produced in the dominant Schmidt mode.…”

Section: Supplemental Materialmentioning

confidence: 99%

Scalability of parametric down-conversion for generating higher-order Fock states

et al. 2019

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Spontaneous parametric down-conversion (SPDC) is the most widely-used method to generate higher-order Fock states (n ≥ 2). Yet, a consistent performance analysis from fundamental principles is missing. Here we address this problem by introducing a framework for state fidelity and generation probability under the consideration of losses and multimode emission. With this analysis we show the fundamental limitations of this process as well as a trade-off between state fidelity and generation rate intrinsic to the probabilistic nature of the process. This identifies the parameter space for which SPDC is useful when generating higher-order Fock states for quantum applications. We experimentally investigate the strong pump regime of SPDC and demonstrate heralded Fock states up to |n = 4.

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Section: Supplemental Materialmentioning

confidence: 99%

Scalability of parametric down-conversion for generating higher-order Fock states

et al. 2019

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“…In addition, the Schmidt coefficients λ giving the quantum probability amplitudes of finding a given paired mode in the state are obtained (for details, see the Supplemental material 31 ). Using these modes and coefficients both in the transverse wave-vector plane 23 32 33 and in the frequency domain 22 , the momentum operator ‘averaged’ over the crystal length is obtained as:…”

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confidence: 99%

Internal dynamics of intense twin beams and their coherence

Peřina

Haderka

Allevi

et al. 2016

Sci Rep

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The dynamics of intense twin beams in pump-depleted parametric down-conversion is studied. A generalized parametric approximation is suggested to solve the quantum model. Its comparison with a semiclassical model valid for larger twin-beam intensities confirms its applicability. The experimentally observed maxima in the spectral and spatial intensity auto- and cross- correlation functions depending on pump power are explained in terms of different speeds of the (back-) flow of energy between the individual down-converted modes and the corresponding pump modes. This effect is also responsible for the gradual replacement of the initial exponential growth of the down-converted fields by the linear one. Furthermore, it forms a minimum in the curve giving the effective number of twin-beam modes. These effects manifest a tight relation between the twin-beam coherence and its internal structure, as clearly visible in the model. Multiple maxima in the intensity correlation functions originating in the oscillations of energy flow between the pump and down-converted modes are theoretically predicted.

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“…The result confirms that, even in a small collection area, a large number N of degrees of freedom contributes to the twin beam. These results can be compared to those obtained in 14 in a different geometry.…”

Section: Resultsmentioning

confidence: 98%

“…Most investigations of spatial correlations to date have been performed either in the near-field or in the far-field configurations 4 5 7 , as well as in both 9 . In addition, attention has been devoted also to the transient area between the two extremes 3 6 13 14 . While in the near-field position intensity cross-correlations (XC) have been confirmed in 9 , momentum anti-correlations have been observed in the far-field 7 9 , as a result of the phase-matching conditions.…”

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confidence: 99%

Spatial and spectral coherence in propagating high-intensity twin beams

Haderka

Machulka

Peřina

et al. 2015

Sci Rep

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Spatial and spectral coherence of high-intensity twin-beam states propagating from the near-field to the far-field configurations is experimentally investigated by measuring intensity auto- and cross-correlation functions. The experimental setup includes a moving crystal and an iCCD camera placed at the output plane of an imaging spectrometer. Evolution from the tight near-field spatial position cross-correlations to the far-field momentum cross-correlations, accompanied by changeless spectral cross-correlations, is observed. Intensity autocorrelation functions and beam profiles are also monitored as they provide the number of degrees of freedom constituting the down-converted beams. The strength of intensity cross-correlations as an alternative quantity for the determination of the number of degrees of freedom is also measured. The relation between the beam coherence and the number of degrees of freedom is discussed.

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Direct Schmidt number measurement of high-gain parametric down conversion

Cited by 19 publications

References 19 publications

Scalability of parametric down-conversion for generating higher-order Fock states

Scalability of parametric down-conversion for generating higher-order Fock states

Internal dynamics of intense twin beams and their coherence

Spatial and spectral coherence in propagating high-intensity twin beams

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