Photon storage in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>Λ</mml:mi></mml:math>-type optically dense atomic media. I. Cavity model

Gorshkov, Alexey V.; André, A.; Lukin, Mikhail D.; Sørensen, Anders S.

doi:10.1103/physreva.76.033804

Cited by 261 publications

(540 citation statements)

References 59 publications

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“…[15,16,37] for the plane wave case. However, let us underscore that they include the transverse spatial dependence of the signal field and they allow to treat completely the case of a multimode transverse field.…”

Section: Physical Modelmentioning

confidence: 99%

“…This will allow optimizing the storage and retrieval processes. In order to solve these equations, we will use the Laplace transformation in the time domain [16,38]. In this case two of the three differential equations are transformed into linear algebraic equations, and the solution of the third differential equation can be written in an explicit form.…”

Section: Analysis Of the Writing Processmentioning

confidence: 99%

“…While the principle of such memory registers has been mainly developed for a single temporal and spatial mode [15][16][17][18][19][20], it appears that the need for multiplexing will be high and that multimode memories need to be developed. Several schemes for a spectral multi-mode memory have been proposed based on off resonant Raman interaction [21][22][23], controlled reversible inhomogeneous broadening (CRIB) [24][25][26][27] and atomic frequency comb (AFC) [28], with significant recent experimental advances in vapors [29][30][31][32] and crystals [33].…”

Section: Introductionmentioning

confidence: 99%

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High-speed spatially multimode atomic memory

et al. 2011

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We study the coherent storage and retrieval of a very short multimode light pulse in an atomic ensemble. We consider a quantum memory process based on the conversion of a signal pulse into a long-lived spin coherence via light matter interaction in an on-resonant Λ -type system. In order to study the writing and reading processes we analytically solve the partial differential equations describing the evolution of the field and of the atomic coherence in time as well as in space. We show how to optimize the process for writing as well as for reading. If the medium length is fixed, for each length, there is an optimal value of the pulse duration. We discuss the information capacity of this memory scheme and we estimate the number of transverse modes that can be stored as a quantum hologram.

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Section: Physical Modelmentioning

confidence: 99%

Section: Analysis Of the Writing Processmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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High-speed spatially multimode atomic memory

et al. 2011

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“…For example, microwave field has been utilized to envision novel effects like electromagnetically induced transparency with amplification(EITA) [23] in superconducting qubits, subwavelength atom localization [24], circuit QED [25], simultaneous slow and fast light [26], gains without inversion in quantum systems with broken parities [27], quantum storage [28][29][30], sub-Raman generation [31].…”

Section: Introductionmentioning

confidence: 99%

Controlling laser spectra in a phaseonium photonic crystal using maser

2013

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“…A conservative estimate of the associated efficiency for the whole protocol (including the swapping) can be obtained by applying the photon's storage and retrieval efficiency twice [37]. This corresponds to the use of two separate MOTs for storing photons before and after swapping.…”

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confidence: 99%

Photon-photon gate via the interaction between two collective Rydberg excitations

Khazali

Heshami²,

Simon³

2015

Phys. Rev. A

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We propose a scheme for a deterministic controlled-phase gate between two photons based on the strong interaction between two stationary collective Rydberg excitations in an atomic ensemble. The distance-dependent character of the interaction causes both a momentum displacement of the collective excitations and unwanted entanglement between them. We show that these effects can be overcome by swapping the collective excitations in space and by optimizing the geometry, resulting in a photon-photon gate with high fidelity and efficiency.Deterministic quantum gates between individual photons are very desirable for photonic quantum information processing [1][2][3][4][5]. As photons interact only very weakly in free space, the implementation of such gates requires appropriate media. One attractive approach involves converting the photons into atomic excitations in highly excited Rydberg states, which exhibit strong interactions. Rydberg state based quantum gates between individual atoms and between atomic ensembles have been proposed [6][7][8][9][10] and implemented [11][12][13]. There are two categories of gates, those relying on the interaction between two excited atoms [6,7], and those based on Rydberg blockade [7][8][9][10][11][12][13], where only one atom is excited at any given time. There is a significant body of work studying the effects of mapping photons onto collective atomic Rydberg excitations [14][15][16][17][18][19][20]. Most proposals for photon-photon gates involve propagating Rydberg excitations (polaritons), either using blockade [21,22] or two excitations [23][24][25][26].Separating the interaction process and propagation makes it easier to achieve high fidelities for these photonic gates [27]. Such separation can be achieved by photon storage, i.e. by converting the photons into stationary rather than moving atomic excitations. The only storagebased photonic gate that has been proposed so far is based on the blockade effect [27]. Achieving blockade conditions can be challenging since both photons have to be localized within the blockade volume. Following [6,7,[23][24][25][26], we here propose a storage-based scheme that instead relies on the interaction between two stationary Rydberg excitations.The main challenge for two-excitation based Rydberg gates in atomic ensembles arises from the fact that the interaction is strongly distance-dependent and thus not uniform over the profiles of the two stored photons. We show that this a priori reduces the gate's fidelity by displacing the collective excitations in momentum space and by entangling their quantum states. However, we then show that it is possible to completely compensate the first effect by swapping the collective excitations in the middle of the interaction time, and to greatly alleviate the second effect by optimizing the shape and separation of the excitations, resulting in a photon-photon gate that achieves both high fidelity and high efficiency. Now we describe our scheme in detail. As shown in Fig. 1a, information is encoded in dual-rail...

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Photon storage inΛ-type optically dense atomic media. I. Cavity model

Cited by 261 publications

References 59 publications

High-speed spatially multimode atomic memory

High-speed spatially multimode atomic memory

Controlling laser spectra in a phaseonium photonic crystal using maser

Photon-photon gate via the interaction between two collective Rydberg excitations

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