Entangled Two-Photon Wave Packet in a Dispersive Medium

Valencia, Alejandra; Chekhova, Maria V.; Trifonov, Alexei; Shih, Yanhua

doi:10.1103/physrevlett.88.183601

Cited by 133 publications

(102 citation statements)

References 15 publications

Supporting

Mentioning

101

Contrasting

Order By: Relevance

“…Here we would like to stress that because the squared module of TTPA is the second-order Glauber's correlation function, its width gives the correlation time of the biphoton, i.e. the biphoton entanglement time [6,7]. It is this time that is important for two-photon effects such as two-photon absorption, two-photon ionization, or up-conversion, and which can be measured for two-photon light using these techniques [12].…”

mentioning

confidence: 99%

“…The two-photon spectral amplitude (TPSA) F (Ω) determines all spectral and temporal properties of two-photon light. In particular, its squared module gives the frequency spectra of signal and idler radi- its squared module giving the second-order Glauber's correlation function [6,7]: G (2) (τ ) = |F (τ )| 2 . The TPSA is determined by the distribution of the quadratic nonlinearity χ(z) along the crystal [3,10,11]:…”

mentioning

confidence: 99%

“…its squared module giving the second-order Glauber's correlation function [6,7]: G (2) (τ ) = |F (τ )| 2 . The TPSA is determined by the distribution of the quadratic nonlinearity χ(z) along the crystal [3,10,11]:…”

mentioning

confidence: 99%

See 2 more Smart Citations

Chirped Biphotons and their Compression in Optical Fibers

et al. 2009

View full text Add to dashboard Cite

We show that broadband biphoton wavepackets produced via Spontaneous Parametric DownConversion (SPDC) in crystals with linearly aperiodic poling can be easily compressed in time using the effect of group-velocity dispersion in optical fibres. This result could foster important developments in quantum metrology and lithography.PACS numbers: 42.50. Dv, 03.67.Hk, 42.62.Eh One of the central problems in quantum optics is generation of nonclassical light with given spectral and spatiotemporal properties. In particular, for the needs of quantum metrology and quantum lithography it is important to obtain two-photon wavepackets with small correlation times. Such wavepackets should naturally manifest a broad frequency spectrum. Several ideas have been put forward in this direction, all based on two-photon states produced via Spontaneous Parametric Down-Conversion (SPDC). Among them, one can mention prisms or diffraction gratings introducing a frequency chirp [1], SPDC in aperiodically poled crystals [2,3,4], and SPDC in crystals with temperature gradients [5]. However, a broad spectrum of two-photon light does not necessarily imply small correlation times, although the inverse is true [6,7,8]. This is similar to the fact that a broadband pulse does not have to be short in time, although the spectrum of a short pulse is always broad. The spectrum broadening introduced in Refs [1, 4, 5] is in fact inhomogeneous; as a result, the two-photon spectral amplitude in all these cases has a phase depending nonlinearly on the frequency. This phase (a frequency chirp [9]) makes two-photon wavepackets not Fourier transformlimited. Therefore, they are not short in time despite their broad frequency spectrum. As it was mentioned in Ref. [3], time compression of such two-photon wavepackets requires compensation for their frequency chirp. At the same time, the way to eliminate the chirp was not specified.In this paper we show that, under certain conditions, biphoton wavepackets can be made nearly Fourier transform-limited and hence compressed by injecting one of the photons of a pair in a standard optical fibre and exploiting the effect of group-velocity dispersion (GVD). No specially engineered fibres (for instance, with negative GVD) are necessary. This suggests an easy way of achieving extremely short correlation times for twophoton light.Consider generation of two-photon light via spontaneous parametric down-conversion (SPDC) from a cw pump in an aperiodically poled crystal. From the viewpoint of applications and for simplifying the calculation, it is convenient to assume that signal and idler photons are distinguishable, due to either frequency nondegenerate or type-II phase matching. Below, we consider phase matching to be type-II, collinear, and frequency degenerate, with idler (extraordinary) and signal (ordinary) radiations centered at frequency ω 0 . The two-photon state can be written aswhere |ω i(s) denotes the idler (signal) photon state with frequency ω. The two-photon spectral amplitude (TPSA) F (Ω) determines all spect...

show abstract

mentioning

confidence: 99%

mentioning

confidence: 99%

See 1 more Smart Citation

Chirped Biphotons and their Compression in Optical Fibers

et al. 2009

View full text Add to dashboard Cite

show abstract

“…The rate of coincidences between signal and idler photons reaching detectors at times t ′ and t ′′ , respectively, can be expressed as [13] …”

Section: Temporal Propertiesmentioning

confidence: 99%

“…Among them, one can mention prisms or diffraction gratings introducing a frequency chirp [7], SPDC in aperiodically poled crystals (APPC) [8][9][10] or in crystals with temperature gradients [11]. However, a broad spectrum of two-photon light does not necessarily lead to small correlation times, although the inverse is true [12][13][14]. Similarly, in classical optics, a broadband pulse is not always short in time, although the spectrum of a short pulse is always broad.…”

Section: Introductionmentioning

confidence: 99%

Biphoton compression in a standard optical fiber: Exact numerical calculation

et al. 2010

View full text Add to dashboard Cite

Generation of two-photon wavepackets, produced by spontaneous parametric down conversion in crystals with linearly chirped quasi-phase matching grating, is analyzed. Although being spectrally broad, two-photon wavepackets produced this way are not Fourier transform limited. In the paper we discuss the temporal compression of the wavepackets, exploiting the insertion of a standard optical fiber in the path of one of the two photons. The effect is analyzed by means of full numerical calculation and the exact dispersion dependencies in both the crystal and the fiber are considered. The study opens the way to the practical realization of this idea.

show abstract

Generation of quantum‐entangled twin photons by waveguide nonlinear‐optic devices

Suhara

2009

Laser & Photonics Reviews

View full text Add to dashboard Cite

This paper reviews the quasi-phase-matched (QPM) waveguide nonlinear-optic device technologies for generation of quantum-entangled twin photons indispensable for quantuminformation techniques. After a brief introduction to the concept of entanglement, quantum theory analysis of twin-photon generation (TPG) is outlined to clarify the properties of twin photons. Then, methods for entangled-photon generation are discussed. Practical design and theoretical performances of LiNbO3 waveguide QPM TPG devices, as well as the fabrication techniques, are described. Finally, experimental demonstrations of polarization-entangled twin-photon generation by waveguide Type-I and Type-II QPM TPG devices are presented.C h a n n e l W a v e g u i d e L i N b O 3 C r y s t a l D o m a i n -I n v e r t e d G r a t i n g f o r T y p e -I I Q P M P u m p W a v e O u t p u t C r o s s -P o l a r i z e d T w i n P h o t o n s w

show abstract

Entangled Two-Photon Wave Packet in a Dispersive Medium

Cited by 133 publications

References 15 publications

Chirped Biphotons and their Compression in Optical Fibers

Chirped Biphotons and their Compression in Optical Fibers

Biphoton compression in a standard optical fiber: Exact numerical calculation

Generation of quantum‐entangled twin photons by waveguide nonlinear‐optic devices

Contact Info

Product

Resources

About