Photon blockade in an optical cavity with one trapped atom

Birnbaum, Kevin; Boca, A.; Miller, Ryan; Boozer, A. D.; Northup, Tracy E.; Kimble, H. J.

doi:10.1038/nature03804

Cited by 1,297 publications

(1,386 citation statements)

References 22 publications

Supporting

Mentioning

1,327

Contrasting

Unclassified

Order By: Relevance

“…This significantly limits the reduction in group velocity attainable via photonic crystals. The interest in slow-light phenomena has increased significantly in recent years due to the potential applications in areas such as optical processing, [1][2][3][4] quantum information processing, 5,6 enhanced spontaneous emission, 7 and sensing. 8,9 Strongly dispersive periodic structures with dielectric functions that vary on the length scale of the wavelength of light can now be fabricated with impressive precision and resolution.…”

Section: Limits Of Slow Light In Photonic Crystalsmentioning

confidence: 99%

Limits of slow light in photonic crystals

2008

View full text Add to dashboard Cite

While ideal photonic crystals would support modes with a vanishing group velocity, state-of-the art structures have still only provided a slow-down by roughly two orders of magnitude. We find that the induced density of states caused by lifetime broadening of the electromagnetic modes results in the group velocity acquiring a finite value above zero at the band gap edges, while attaining superluminal values within the band gap. Simple scalings of the minimum and maximum group velocities with the imaginary part of the dielectric function or, equivalently, the linewidth of the broadened states, are presented. The results obtained are entirely general and may be applied to any effect which results in a broadening of the electromagnetic states, such as loss, disorder, finite-size effects, etc. This significantly limits the reduction in group velocity attainable via photonic crystals.

show abstract

Section: Limits Of Slow Light In Photonic Crystalsmentioning

confidence: 99%

Limits of slow light in photonic crystals

2008

View full text Add to dashboard Cite

show abstract

“…We contrast the value of g (3) (0, 0) with the conventionally used g (2) (0) and demonstrate that in addition to being necessary for detecting two-photon states emitted by a low-intensity source, g (3) provides a more clear indication of the non-classical character of a light source. We also present preliminary data that demonstrates bunching in the fourth-order autocorrelation function g (4) (τ1, τ2, τ3) as the first step toward detecting three-photon states.A strongly-coupled quantum dot-cavity system can produce non-classical light by filtering the input stream of photons coming from a classical coherent light source through mechanisms described as 'photon blockade' [1,2] and 'photon-induced tunneling' [2,3]. Recent proposals [4,5] have extended the concept of photon blockade from single photons to two-photon Fock state generation by coupling the probe laser to the second manifold of the Jaynes-Cummings ladder via a two-photon transition [6].…”

mentioning

confidence: 99%

Nonclassical higher-order photon correlations with a quantum dot strongly coupled to a photonic-crystal nanocavity

et al. 2014

View full text Add to dashboard Cite

We use the third-and fourth-order autocorrelation functions g (3) (τ1, τ2) and g (4) (τ1, τ2, τ3) to detect the non-classical character of the light transmitted through a photonic-crystal nanocavity containing a strongly-coupled quantum dot probed with a train of coherent light pulses. We contrast the value of g (3) (0, 0) with the conventionally used g (2) (0) and demonstrate that in addition to being necessary for detecting two-photon states emitted by a low-intensity source, g (3) provides a more clear indication of the non-classical character of a light source. We also present preliminary data that demonstrates bunching in the fourth-order autocorrelation function g (4) (τ1, τ2, τ3) as the first step toward detecting three-photon states.A strongly-coupled quantum dot-cavity system can produce non-classical light by filtering the input stream of photons coming from a classical coherent light source through mechanisms described as 'photon blockade' [1,2] and 'photon-induced tunneling' [2,3]. Recent proposals [4,5] have extended the concept of photon blockade from single photons to two-photon Fock state generation by coupling the probe laser to the second manifold of the Jaynes-Cummings ladder via a two-photon transition [6]. This approach can potentially be further generalized to create third-and higher-order photon states inside the cavity through multi-photon transitions to the corresponding manifold. Following our proposal [4], we report the probing of these multi-photon transitions into the higher manifolds of the Jaynes-Cummings ladder of a strongly coupled quantum dot-photonic crystal nanocavity system [2] by measuring the third-order autocorrelation function (g (3) (τ 1 , τ 2 )) of a probe laser transmitted through such a system. Prior to this work, higherorder photon correlations had been measured for thermal [7][8][9][10] and laser [11] sources, relying on the strong excitation and high count rates available in these systems. Very recently g (3) measurements of the fluorescence from a single quantum dot weakly coupled to a microcavity were reported as well [12]. However, in the low-intensity, strongly-coupled regime of cavity quantum electrodynamics, such correlations have only been measured in an atomic system [13]. Therefore, this work constitutes a significant step towards implementing a solidstate non-classical light source of photon number states.One of the benchmarks used to characterize a source of single photons is the measurement of the the second-order autocorrelation function g (2) (τ ) = a † a † (τ )a(τ )a a † a 2[14] at τ = 0, which quantifies the suppression of multi-photon * armandhr@stanford.edu † mbajcsy@uwaterloo.ca states. In actual experiments, the value of g (2) (0) for a light source is usually estimated from a Hanbury-Brown and Twiss (HBT) setup that measures coincidence counts between two single photon counting modules (SPCMs).A classical coherent light source will produce photons with Poisson statistics (g (2) (0) = 1), while a source whose output contains at most one photon a...

show abstract

“…In particular, we find that in such a system there is an effective contact interaction between two polaritons. Similarly to the photon blockade phenomenon [24], this effective interaction is also due to the nonlinearity of the Jaynes-Cummigs (JC) Hamiltonian. With our approach, one can treat the problem with standard techniques of quantum scattering.…”

Section: Introductionmentioning

confidence: 99%

Scattering and Bound States of two Polaritons in an Array of Coupled Cavities

Zhu¹,

Endo²,

Naidon³

et al. 2013

Few-Body Syst

View full text Add to dashboard Cite

We develop an analytical approach for calculating the scattering and bound states of two polaritons in a one-dimensional (1D) infinite array of coupled cavities, with each cavity coupled to a two-level system (TLS). In particular, we find that in such a system a contact interaction between two polaritons is induced by the nonlinearity of the Jaynes-Cummigs Hamiltonian. Using our approach we solve the two-polariton problem with zero center-of-mass momentum, and find 1D resonances. Our results are relevant to the transport of two polaritons, and are helpful for the investigation of many-body physics in a dilute gas of polaritons in a 1D cavity array.

show abstract

Photon blockade in an optical cavity with one trapped atom

Cited by 1,297 publications

References 22 publications

Limits of slow light in photonic crystals

Limits of slow light in photonic crystals

Nonclassical higher-order photon correlations with a quantum dot strongly coupled to a photonic-crystal nanocavity

Scattering and Bound States of two Polaritons in an Array of Coupled Cavities

Contact Info

Product

Resources

About