Generation of Two-Photon States with an Arbitrary Degree of Entanglement Via Nonlinear Crystal Superlattices

U’Ren, Alfred B.; Erdmann, Reinhard; Cruz-Gutierrez, Manuel de la; Walmsley, Ian A.

doi:10.1103/physrevlett.97.223602

Cited by 76 publications

(65 citation statements)

References 26 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Homodyne-detected sum frequency generation (SFG) (Shen, 1989) and difference frequency generation (DFG) (Dick and Hochstrasser, 1983;Mukamel, 1995) involve two classical and one quantum mode. Parametric down conversion (PDC) Klyshko, 1988;Louisell et al, 1961;Mandel and Wolf, 1995) involves one classical and two quantum modes and is one of the primary sources of entangled photon pairs Gerry and Knight, 2005;U'Ren et al, 2006). All of these are coherent measurements, and scale as N (N − 1) for N active molecules the signals (Marx et al, 2008).…”

Section: Entangled Light Generation Via Nonlinear Light-matter Inmentioning

confidence: 99%

Nonlinear optical signals and spectroscopy with quantum light

2016

View full text Add to dashboard Cite

Conventional nonlinear spectroscopy uses classical light to detect matter properties through the variation of its response with frequencies or time delays. Quantum light opens up new avenues for spectroscopy by utilizing parameters of the quantum state of light as novel control knobs and through the variation of photon statistics by coupling to matter. We present an intuitive diagrammatic approach for calculating ultrafast spectroscopy signals induced by quantum light, focusing on applications involving entangled photons with nonclassical bandwidth properties -known as "time-energy entanglement". Nonlinear optical signals induced by quantized light fields are expressed using time ordered multipoint correlation functions of superoperators in the joint field plus matter phase space. These are distinct from Glauber's photon counting formalism which use normally ordered products of ordinary operators in the field space. One notable advantage for spectroscopy applications is that entangled photon pairs are not subjected to the classical Fourier limitations on the joint temporal and spectral resolution. After a brief survey of properties of entangled photon pairs relevant to their spectroscopic applications, different optical signals, and photon counting setups are discussed and illustrated for simple multi-level model systems.

show abstract

Section: Entangled Light Generation Via Nonlinear Light-matter Inmentioning

confidence: 99%

Nonlinear optical signals and spectroscopy with quantum light

2016

View full text Add to dashboard Cite

show abstract

“…Some of these methods rely on an appropriate selection of the nonlinear crystal length and its dispersive properties [4,9]. Others are based on SPDC pumped by pulses with angular dispersion [10] or the design of nonlinear crystal superlattices [11]. Noncollinear SPDC has also been propose as a way to tailor the waveform of the downconverted photons [12,13,14,15,16,17].…”

mentioning

confidence: 99%

Shaping the Waveform of Entangled Photons

et al. 2007

View full text Add to dashboard Cite

We demonstrate experimentally the tunable control of the joint spectrum, i.e. waveform and degree of frequency correlations, of paired photons generated in spontaneous parametric downconversion. This control is mediated by the spatial shape of the pump beam in a type-I noncollinear configuration. We discuss the applicability of this technique to other sources of frequency entangled photons, such as electromagnetically induced Raman transitions. PACS numbers:The quantum description of paired photons includes the spatial shape, the polarization state and the joint spectrum. The later contains all the information about bandwidth, type of frequency correlations and waveform of the two-photon state. Quantum light has been proved to be useful in many quantum information applications and the most appropriate form of the joint spectrum depends on the specific realization under consideration. For example, uncorrelated pairs of photons can be used as a source of heralded single photons with a high degree of quantum purity [1,2]; the tolerance against the effects of mode mismatch in linear optical circuits can be enhanced by using photons with appropriately tailored waveform shape [3]; the use of frequency-correlated or anticorrelated photons allows erasing the distinguishing information coming from the spectra when considering polarization entanglement [4,5]; some protocols for quantum enhanced clock synchronization and positioning measurements rely on the use of frequency anticorrelated [6] or correlated photons [7]. Moreover, the entanglement in the frequency domain offers by itself a new physical resource where to explore quantum physics in a high-dimensional Hilbert space [8]. This requires the development of new techniques for the control of the joint spectrum that will allow the generation of multidimensional waveform alphabets.The most widely used method for the generation of pairs of entangled photons is spontaneous parametric down conversion (SPDC). Notwithstanding, paired photons with the desired joint spectrum may not be harvested directly at the output of the downconverting crystal. The question that arises is how to control independently different aspects of the joint spectrum of entangled paired photons generated in SPDC; importantly, the sought-after techniques should work for any frequency band of interest and any nonlinear crystal.Various methods have been proposed and developed to control the type of frequency correlations and the bandwidth of downconverted photons. Some of these methods rely on an appropriate selection of the nonlinear crystal length and its dispersive properties [4,9]. Others are based on SPDC pumped by pulses with angular dispersion [10] or the design of nonlinear crystal superlattices [11]. Noncollinear SPDC has also been propose as a way to tailor the waveform of the downconverted photons [12,13,14,15,16,17]. Contrary to the case of collinear SPDC, where the transverse spatial shape of the pump beam translate into specific features of the spatial waveform of the two-photon state; in...

show abstract

“…A number of methods has been proposed and developed to perform spectral manipulation of the joint spectrum [5][6][7] or spatial modulation of the nonlinear interaction [8][9][10]. Others are to modify the (quasi-)phase matching [11], engineer the dispersive properties of the nonlinear medium [12], or imprint the spectral and spatial characteristics of the pump beam into the joint spectrum [13].…”

Section: Introductionmentioning

confidence: 99%

Engineering biphoton wave packets with an electromagnetically induced grating

Wen

Zhai

et al. 2010

Phys. Rev. A

View full text Add to dashboard Cite

We propose to shape biphoton wave packets with an electromagnetically induced grating in a four-level double-cold atomic system. We show that the induced hybrid grating plays an essential role in directing the new fields into different angular positions, especially for the zeroth-order diffraction. A number of interesting features appears in the shaped two-photon wave forms. For example, broadening or narrowing the spectrum would be possible in the proposed scheme even without the use of a cavity.

show abstract

Generation of Two-Photon States with an Arbitrary Degree of Entanglement Via Nonlinear Crystal Superlattices

Cited by 76 publications

References 26 publications

Nonlinear optical signals and spectroscopy with quantum light

Nonlinear optical signals and spectroscopy with quantum light

Shaping the Waveform of Entangled Photons

Engineering biphoton wave packets with an electromagnetically induced grating

Contact Info

Product

Resources

About