Polariton and Jaynes-Cummings Blockade

This Demonstration shows the two-photon statistics as defined by Glauber's intensity correlator for the light emitted by an optical emitter coupled (with strength ) to a single-mode cavity. If the emitter is modeled as a weakly anharmonic oscillator, this models microcavity polaritons. If the strength of the nonlinearity goes to infinity, this recovers the Jaynes–Cummings model where the emitter is a two-level system. In both cases, a blockade effect arises when the photon statistics of a driving laser exciting the system is strongly affected by it. This is shown for coherent driving of both the cavity and the emitter (with ratio χ, 0 for cavity pumping only and 1 for emitter pumping only, with a phase difference ) in the space of cavity-emitter detuning (horizontal axis) and laser-emitter detuning (vertical axis), in units of the coupling strength. Blue corresponds to A, antibunching, that is, or suppression of photon coincidences; red to B, bunching, that is, or photon bursts; and white to uncorrelated photons. Theory shows how these features arise from conventional C and unconventional U mechanisms for both types of statistics, leading to four types of features: UA, CA, UB and CB. The Jaynes–Cummings blockade is recovered for already (the emitter emission goes to zero everywhere as ).

SNAPSHOTS

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DETAILS

Snapshot 1: polariton blockade with large interactions of the emitter recovers the Jaynes–Cumming limit
Snapshot 2: the underlying resonances, UA (unconventional antibunching) in dashed blue, CA (conventional antibunching) in solid blue, UB (unconventional bunching) in dashed red and CB (conventional bunching) in solid red
Snapshot 3: the polariton blockade in today samples corresponds to a case of very weak interactions, with closely packed features
References
[1] A. V. Kavokin, J. J. Baumberg, G. Malpuech and F. P. Laussy, Microcavities, 2nd ed., Oxford: Oxford University Press, 2017.
[2] A. Verger, C. Ciuti and I. Carusotto, "Polariton Quantum Blockade in a Photonic Dot," Physical Review B, 73(19), 2006 193306. doi:10.1103/PhysRevB.73.193306.
[3] T. C. H. Liew and V. Savona, "Single Photons from Coupled Quantum Modes," Physical Review Letters, 104(18), 2010 183601. doi:10.1103/PhysRevLett.104.183601.
[4] H. Flayac and V. Savona, "Unconventional Photon Blockade," Physical Review A, 96(5), 2017 053810. doi:10.1103/PhysRevA.96.053810.
[5] K. M. Birnbaum, A. Boca, R. Miller, A. D. Boozer, T. E. Northup and H. J. Kimble, "Photon Blockade in an Optical Cavity with One Trapped Atom," presentation given at 2006 Conference on Lasers and Electro-Optics and 2006 Quantum Electronics and Laser Science Conference, Long Beach, CA. doi:10.1109/CLEO.2006.4628590.
[6] H.  J. Snijders, J.  A. Frey, J. Norman, H. Flayac, V. Savona, A. C. Gossard, J. E. Bowers, M. P. van Exter, D. Bouwmeester and W. Löffler, "Observation of the Unconventional Photon Blockade," Physical Review Letters, 121(4), 2018 043601. doi:10.1103/PhysRevLett.121.043601.
[7] C. Vaneph, A. Morvan, G. Aiello, M. Féchant, M. Aprili, J. Gabelli and J. Estève, "Observation of the Unconventional Photon Blockade in the Microwave Domain," Physical Review Letters, 121(4), 2018 043602. doi:10.1103/PhysRevLett.121.043602.
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