Measuring the frequency-time two-photon wavefunction of narrowband entangled photons from cold atoms via stimulated emission

Park, Kwang Kyoon; Kim, Jin Hun; Zhao, Tian Ming; Cho, Young Wook; Kim, Yoon Ho

doi:10.1364/optica.4.001293

Cited by 24 publications

(8 citation statements)

References 33 publications

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“…Following Ref. [40,41], the state of the system |ψ(t) at any time t is governed by the following equation of motion:…”

Section: Appendix A: Hamiltonian Tratement Of Stimulated Fwm In Doublmentioning

confidence: 99%

“…The Pump and the Seed lasers are coupled to the Input port, and the intensity of the stimulated field (the Idler) is monitored in either the Drop or the Through bus waveguide. The nonlinear hamiltonian H nl responsible for SFWM is [32]:…”

Section: Introductionmentioning

confidence: 99%

“…As an example, only the lower bound of the Schmidt number can be estimated if the JSP is not known [19]. Beside quantum homodyne tomography of two photon states [29,30], which suffers the same time and resolution issues of spectrally resolved coincidence measurements, phase resolved applications of SET have been so far limited to in-line sources as waveguides [28,31] or cold atomic ensembles [32]. In all these works, the Pump, the Seed and the reference beams are all carved from the same laser source to guarantee mutual coherence, and fiber based interferometers are used to extract the JSP.Here, a novel technique which allows to measure the complex JSA of a double bus, integrated silicon ring resonator, is proposed and experimentally validated.…”

mentioning

confidence: 99%

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Phase-resolved joint spectra tomography of a ring resonator photon pair source using a silicon photonic chip

Borghi¹

2020

Opt. Express

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The exponential growth of photonic quantum technologies is driving the demand of tools for measuring the quality of their information carriers. One of the most prominent is Stimulated Emission Tomography (SET), which uses classical coherent fields to measure the Joint Spectral Amplitude (JSA) of photon pairs with high speed and resolution. While the modulus of the JSA can be directly addressed from a single intensity measurement, the retrieval of the Joint Spectral Phase (JSP) is far more challenging and received minor attentions. However, a wide class of spontaneous sources of technological relevance, as chip integrated micro-resonators, have a JSP with a rich structure, that carries correlations hidden in the intensity domain. Here, using a compact and reconfigurable silicon photonic chip, it is measured for the first time the complex JSA of a micro-ring resonator photon pair source. The photonic circuit coherently excites the ring and a reference waveguide, and the interferogram formed by their stimulated fields is used to map the ring JSP through a novel phase reconstruction technique. This tool complements the traditionally bulky and sophisticated methods implemented so far, simultaneously minimizing the set of required resources.A PREPRINT -JANUARY 10, 2020 the modulus of the JSA, referred as the Joint Spectral Intensity (JSI), since it is directly measurable from the power of the stimulated field. Examples includes silicon nanowires [18], AlGaAs ridge waveguides [19], optical fibers [20,21], All-Pass resonators [22] and coupled rings [23]. A variation of SET, which implements Sum Frequency Generation (SFG), has been used to map the JSA of an array of evanescently coupled Lithium Niobate waveguides [24]. A method for the extraction of the complex JSA in multi-port devices, which implements DFG, has been proposed based on the eigenmode expansion of single channel excitations [25]. SET has been also extended to others degrees of freedom, like space [24] and polarization [26,27]. The Joint Spectral Phase (JSP) is of the same relevance of the JSI, but historically received minor attentions. The JSI itself is, however, an incomplete picture of the quantum state, since it hides the spectral correlations encoded in the phase domain [28]. As an example, only the lower bound of the Schmidt number can be estimated if the JSP is not known [19]. Beside quantum homodyne tomography of two photon states [29,30], which suffers the same time and resolution issues of spectrally resolved coincidence measurements, phase resolved applications of SET have been so far limited to in-line sources as waveguides [28,31] or cold atomic ensembles [32]. In all these works, the Pump, the Seed and the reference beams are all carved from the same laser source to guarantee mutual coherence, and fiber based interferometers are used to extract the JSP.Here, a novel technique which allows to measure the complex JSA of a double bus, integrated silicon ring resonator, is proposed and experimentally validated. The method exploits the on-chip inte...

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“…Following Ref. [40,41], the state of the system |ψ(t) at any time t is governed by the following equation of motion:…”

Section: Appendix A: Hamiltonian Tratement Of Stimulated Fwm In Doublmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

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Phase-resolved joint spectra tomography of a ring resonator photon pair source using a silicon photonic chip

Borghi¹

2020

Opt. Express

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“…1 b). Owing to the close connection between the SpFWM and StFWM processes 25 , 26 , the number of photon pairs emitted in the SpFWM process is proportional to the number of the photons induced in the StFWM process. We can measure the power spectrum P(ω) of the generated StFWM field.…”

Section: Resultsmentioning

confidence: 99%

Spectral–temporal biphoton waveform of photon pairs from cascade-type warm atoms

Park

Jeong

Moon

2020

Sci Rep

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We investigate the spectral–temporal biphoton waveforms of the photon pairs emitted from cascade-type two-photon-coherent warm 87Rb atoms via the spontaneous four-wave mixing process in the 5S1/2–5P3/2–5D5/2 transition, under the condition of the different detuning frequencies (symmetric detuning conditions of ± 1 GHz) of the pump and coupling lasers relative to the 5P3/2 state. In both detuning cases corresponding to ± 1 GHz, the biphoton temporal waveforms and biphoton spectral waveforms of the photon pairs are measured by means of time-resolved coincidence photon counting and stimulated measurements, respectively. Although photon-pairs were generated using opposite detunings, we confirm that the spectral–temporal biphoton waveforms of the photon pairs are very similar. Furthermore, we observe Hong–Ou–Mandel interference with 82% visibility with the two independent heralded single photons.

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“…This sets hard requirements in practice. Such a problem can be partly circumvented by recurring to a stimulated downconversion process [32][33][34][35][36], but the limited gain in the CW condition makes it suitable mostly for four-wave mixing in resonant media, with limited appeal for SPDC. If the sought objective is only to confirm the presence of correlations and put a number on their strength, a less demanding approach would be highly desirable even at the cost of limited detail.…”

Section: Introductionmentioning

confidence: 99%

Assessing frequency correlation through a distinguishability measurement

et al. 2018

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The simplicity of a question, such as wondering whether or not correlations characterize a certain system, collides with the experimental difficulty of accessing such information. Here we present a low-demanding experimental approach that refers to the use of a metrology scheme to obtain a conservative estimate of the strength of frequency correlations. Our test bed is the widespread case of a photon pair produced per downconversion. The theoretical architecture used to put the correlation degree on a quantitative ground is also described.

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Measuring the frequency-time two-photon wavefunction of narrowband entangled photons from cold atoms via stimulated emission

Cited by 24 publications

References 33 publications

Phase-resolved joint spectra tomography of a ring resonator photon pair source using a silicon photonic chip

Phase-resolved joint spectra tomography of a ring resonator photon pair source using a silicon photonic chip

Spectral–temporal biphoton waveform of photon pairs from cascade-type warm atoms

Assessing frequency correlation through a distinguishability measurement

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