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Conference on Lasers and Electro-Optics

Propagation of two photon states through dispersive media and spectral entanglement migration

Yasser Jerónimo-Moreno, Alfred B. U’Ren

Published May 1, 2007• 0 citations
Publisher

Abstract

We study entanglement migration between modulus and phase for parametric down- conversion photon pairs which propagate through dispersive media. In addition, we discuss a related dispersion suppression effect which occurs for factorable, highly asymmetric states.
DOI
10.1109/cleo.2007.4453478

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Summary form only given. Two classical pulses of light propagating through two distant, dispersive media will experience dispersion that depends only on the local properties of the two media. It was previously shown, however, that two entangled photons propagating through two dispersive media, can experience a cancellation of dispersion in the sense that the two photons will arrive at two equally-distant detectors at the same time despite the dispersion. Other forms of dispersion cancellation have also been described. We generalize dispersion cancellation to entangled states containing a large number N of photons in each pulse.

Quantum Electronics and Laser Science Conference•Jun 25, 2003•0 citations
We show that, although the amount of mutual entanglement of photons propagating in free space is fixed, the type of correlations between the photons that determine the entanglement can dramatically change during propagation. We show that this amounts to a migration of entanglement in Hilbert space, rather than real space. For the case of spontaneous parametric down-conversion, the migration of entanglement in transverse coordinates takes place from modulus to phase of the biphoton state and back again. We propose an experiment to observe this migration in Hilbert space and to determine the full entanglement.
We present a study of the effects of dispersion on the properties of photon pairs generated by type-II collinear spontaneous parametric down-conversion. Specifically, we take into consideration the effects of a chirped pump, as well as of dispersive propagation of the photon pairs. We present expressions for the joint amplitude both in the spectral and temporal domains, as well as for the chronocyclic Wigner function of heralded single photons, which fully characterizes the single-photon spectral (temporal) properties. On the one hand, we show that unwanted effects of pump chirp in terms of the heralded single-photon duration can be suppressed for states designed to be factorable and spectrally elongated. On the other hand, we show that pump chirp constitutes an effective tool for the control of the degree of photon-pair entanglement. We show that when frequency-entangled photon pairs propagate through a dispersive medium, entanglement can ``migrate'' between the modulus and phase of the joint temporal amplitude.
Summary form only given. Two classical pulses of light propagating through two distant, dispersive media will experience dispersion that depends only on the local properties of the two media. It was previously shown, however, that two entangled photons propagating through two dispersive media, can experience a cancellation of dispersion in the sense that the two photons will arrive at two equally-distant detectors at the same time despite the dispersion. Other forms of dispersion cancellation have also been described. We generalize dispersion cancellation to entangled states containing a large number N of photons in each pulse.