Narrowband biphoton generation in the group delay regime

Abstract

We study narrow-band biphoton generation from spontaneous four-wave mixing with electromagnetically induced transparency in a laser cooled atomic ensemble. We compare two formalisms in the interaction and Heisenberg pictures, and find that they agree in the low gain regime but disagree in the high gain regime. We extend both formalisms accounting the non-uniformity in atomic density and the driving laser fields. We find that for a fixed optical depth and a weak and far-detuned pump laser beam, the two-photon waveform is independent of the atomic density distribution. However, the spatial profiles of the two driving laser beams have significant effects on the biphoton temporal waveform. We predict that waveform shaping in time domain can be achieved by controlling the spatial profiles of the driving laser fields.

References in corpus (5)

• Electro-Optic Modulation of Single Photons
• Narrow Band Source of Transform-Limited Photon Pairs via Four-Wave Mixing in a Cold Atomic Ensemble
• Shaping the waveform of entangled photons
• Time-bin modulated polarization-entangled biphotons from cavity-enhanced down-conversion
• Optimal Storage and Retrieval of Single-Photon Waveforms

Cited by in corpus (13)

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• Room-temperature biphoton source with a spectral brightness near the ultimate limit
• Temporally-ultralong biphotons with a linewidth of 50 kHz
• Spatiotemporal single-photon Airy bullets
• Tomography of the temporal-spectral state of subnatural-linewidth single photons from atomic ensembles
• Temporal profile of biphotons generated from a hot atomic vapor and spectrum of electromagnetically induced transparency
• Trapping a Free-propagating Single-photon into an Atomic Ensemble as a Quantum Stationary Light Pulse
• Quantum Langevin theory for two coupled phase-conjugated electromagnetic waves
• Superradiant parametric conversion of spin waves
• Protecting Heralded Single Photons Generated from Double-$\Lambda$ Biphoton Sources with Doppler-Broadened Atomic Media
• Narrowband Biphotons: Generation, Manipulation, and Applications