Quantum atomic lithography via cross-cavity optical Stern–Gerlach setup

Máximo, Carlos Eduardo; Batalhão, Tiago B.; Bachelard, Romain; Neto, G. D. de Moraes; Ponte, M. A. de; Moussa, M. H. Y.

doi:10.1364/josab.31.002480

Cited by 4 publications

(6 citation statements)

References 22 publications

(34 reference statements)

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“…Note that a closer inspection actually reveals a very low population, which proba-bly originates in the tails of the neighboring momentum states. Higher values of the coupling parameter Λ lead to better-resolved momentum states and even lesser population in the disappearing momentum state [10,15]. The destructive quantum interference emerging at the atomic momentum distribution is not unique to NOON states.…”

Section: Entanglement Detectionmentioning

confidence: 99%

“…As discussed in Refs. [10,15], for large coupling parameters Λ 1, the Fourier transforms ( 5) are very close to Delta functions centered around the momentum state ℘ = √ nΛ. It is therefore reasonable to define the discrete measurable probabilities…”

Section: Entanglement Detectionmentioning

confidence: 99%

“…In this paper, we report on a protocol to detect entanglement without relying on the reconstruction of the full state of the system. We present simple criteria to detect entanglement between two modes, in an OSG setup [15], by identifying simple features in 2D atomic deflection patterns.…”

Section: Introductionmentioning

confidence: 99%

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Entanglement detection via atomic deflection

et al. 2017

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We report on criteria to detect entanglement between the light modes of two crossed optical cavities by analyzing the transverse deflection patterns of an atomic beam. The photon exchange between the modes and the atoms occurs around the overlapping nodes of associated standing waves, which generates the two-dimensional (2D) version of the Optical Stern-Gerlach (OSG) effect. In this optical cross-cavity setup, we show that the discrete signatures of the field states, left in the momentum distribution of the deflected atoms, may reveal entanglement for a certain class of two-mode states. For a single photon, we present the possibility of quantifying entanglement by the rotation of the momentum distribution. For a larger number of photons, we demonstrate that quantum interference precludes the population of specific momentum states revealing maximum entanglement between the light modes.

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Section: Entanglement Detectionmentioning

confidence: 99%

Section: Entanglement Detectionmentioning

confidence: 99%

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Entanglement detection via atomic deflection

et al. 2017

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“…States (6) are derived from the symmetric (a + b) / √ 2 and antisymmetric (−a + b) / √ 2 collective operators [6,7], and constitute a complete basis which satisfies the following coupling relation:…”

Section: Two-mode Collective Basismentioning

confidence: 99%

Bright and Dark States of Light: The Quantum Origin of Classical Interference

Máximo¹,

Souza²,

Ianzano³

et al. 2021

Preprint

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According to classical theory, the combined effect of several electromagnetic fields is described under the generic term of interference, where intensity patterns with maxima and minima emerge over space. On the other hand, quantum theory asserts that considering only the expectation value of the total field is insufficient to describe light-matter coupling, and the most widespread explanation highlights the role of quantum fluctuations to obtain correct predictions. We here connect the two worlds by showing that classical interference can be quantum-mechanically interpreted as a bosonic form of super-and subradiance, giving rise to bright and dark states for light modes. We revisit the double-slit experiment and the Mach-Zehnder interferometer, reinterpreting their predictions in terms of collective states of the radiation field. We also demonstrate that quantum fluctuations are not the key ingredient in describing the light-matter quantum dynamics when several vacuum modes are involved. In light of our approach, the unambiguous criterion for the coupling to occur is the presence of nondark states when decomposing the collective state of light. We discuss how the results here discussed could be verified in trapped ion systems or in cross-cavity setups. Finally, we show how the bosonic bright and dark states can be employed to implement quantum gates, which paves the way for the engineering of multimode schemes for universal quantum computing.

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“…The optical Stern-Gerlach effect is a phenomenon in which a particle beam, composed of two-level on or off-resonant systems in superposition, has its trajectory split in two directions due to the presence of a quantized electromagnetic field that interacts differently with each state and causes a deflection on their paths. As we will see, the photon statistics of the field will directly manifest itself in the momentum distribution of the sample and for this the Stern-Gerlach effect have been applied in studies such as the tomography of the field (15) and atomic litography (19). With in this mind, in this work we are interested in evaluating the effects that a superradiant emission, together with superabsorption, will have in the momentum states of an atomic mesoscopic sample and how the splitting of an atomic beam might emerge from these phenomena.…”

Section: Deflection Of the Atoms And Fieldmentioning

confidence: 99%

Deflection of mesoscopic atomic superpositions via superradiance and superabsorption

Rocha

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In this work we will deal with the effects of a coherent electromagnetic field acting on an atomic dipole gas confined to a cavity. It is known from ( 5) that in such conditions, if we a have moderately dense sample of N 2-level atoms, we can observe the presence of superradiance, i.e., the enhanced emission of a coherent pulse of intensity proportional to N 2 and, in a smaller scale, the enhanced absorption as well ( 14). When coupling this sample to a quantum electromagnetic field via Tavis-Cummings interaction we are able to enhance even more the superabsorption as well as the superemission to a lesser degree in such a way as to almost equate the intensities of both processes and give rise to interleaved oscillations between them in both field and sample resulting in the phenomenon of many-body Rabi oscillations described in (1). However, it is to expect that, due to momentum conservation, such a phenomenon would cause a deflection on the atoms of the sample in a small time interval, after which we would have a mesoscopic superposition containing all the information related to the prior state. Our main goal is the study of the deflection suffered by the atoms of such a sample and how it relates to the state before the emission. We solve the time-dependent non-linear Hamiltonian related to the superradiant emission/superabsorption via the Lewis-Riesenfeld invariant method. At the end we will show how the macroscopic states were prepared to obtain our results.

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Quantum atomic lithography via cross-cavity optical Stern–Gerlach setup

Cited by 4 publications

References 22 publications

Entanglement detection via atomic deflection

Entanglement detection via atomic deflection

Bright and Dark States of Light: The Quantum Origin of Classical Interference

Deflection of mesoscopic atomic superpositions via superradiance and superabsorption

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