2013
DOI: 10.1103/physreva.88.053807
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Single-photon frequency conversion in nonlinear crystals

Abstract: Frequency conversion of single photons in a nonlinear crystal is theoretically discussed. Losses and noise are included within a Heisenberg-Langevin formalism for the propagating photon field. We calculate the first- and second-order correlation functions of the frequency-converted light when the input is a train of single-photon pulses. This model allows one to identify the requirements on the nonlinear device so that it can be integrated in a quantum network.Comment: 7 pages, 4 figure

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Cited by 7 publications
(5 citation statements)
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References 48 publications
(115 reference statements)
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“…The model is one dimensional, the transmission line is at x < 0, and the cavity mirror is at position x = 0. The single incident photon is described by a superposition of single excitations of the modes of the external field [21]…”
Section: B Initial State and Target Statementioning
confidence: 99%
“…The model is one dimensional, the transmission line is at x < 0, and the cavity mirror is at position x = 0. The single incident photon is described by a superposition of single excitations of the modes of the external field [21]…”
Section: B Initial State and Target Statementioning
confidence: 99%
“…The quantization of the index ν predicted by the classical analysis can be at best captured in the secondquantization framework of SFG [44,[47][48][49][50][51]. Here, the signal and SFG photons undergo in tandem a quantum walk on a synthetic lattice with nontrivial topology in frequency space, the index ν corresponding to a topological invariant of the lattice.…”
Section: B Quantum Analysismentioning
confidence: 99%
“…To establish a quantum network, quantum nodes like single trapped atoms or ions, emitting in the visible or near infrared spectral region, have to be interconnected via photons. To this end, bridging the gap between low loss telecom wavelengths for long-range communication and the atomic wavelengths quantum frequency conversion (QFC) is necessary [14][15][16]. In the present experiment we produce frequency-degenerate photon pairs, generated by spontaneous parametric down conversion (SPDC), resonant with an atomic transition of 40 Ca + at 854 nm.…”
Section: Introductionmentioning
confidence: 98%