Two-Particle Four-Mode Interferometer for Atoms

Dussarrat, Pierre; Perrier, Maxime; Lopes, Raphaël; Aspect, Alain; Cheneau, Marc; Boiron, Denis; Westbrook, Christoph I

doi:10.1103/physrevlett.119.173202

Cited by 20 publications

(32 citation statements)

References 23 publications

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“…The experiment of Ref. [27] observed interference between different sets of modes. To extend that experiment to a test of a Bell inequality, one condition to be met is that the populations of the modes be low enough to prevent contamination from additional particles.…”

Section: Resultsmentioning

confidence: 96%

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Thermal counting statistics in an atomic two-mode squeezed vacuum state

et al. 2019

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We measure the population distribution in one of the atomic twin beams generated by four-wave mixing in an optical lattice. Although the produced two-mode squeezed vacuum state is pure, each individual mode is described as a statistical mixture. We confirm the prediction that the particle number follows an exponential distribution when only one spatio-temporal mode is selected. We also show that this distribution accounts well for the contrast of an atomic Hong-Ou-Mandel experiment. These experiments constitute an important validation of our twin beam source in view of a future test of a Bell inequalities.1 By "thermal state", it is meant that the population distribution of the mode under consideration follows an exponential law characterized by a single parameter, which plays the role of an effective temperature.

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Section: Resultsmentioning

confidence: 96%

“…The data was acquired at the same time as that used in the experiment of Ref. [27]. One atom from a pair is sent to each input port of the beam splitter.…”

Section: Hom Experimentsmentioning

confidence: 99%

Thermal counting statistics in an atomic two-mode squeezed vacuum state

et al. 2019

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“…A potential application for the twin-beams produced by collisional de-excitation is in tests of entanglement [23] and fundamental tests of quantum mechanics, specifically a demonstration of a violation of a Bell inequality with massive particles using motional degrees of freedom [18,19]. Such a scheme has previously been studied in detail by the authors in Ref.…”

Section: Applications To Tests Of Bell's Inequalitymentioning

confidence: 99%

“…The creation, manipulation and application of correlated twin-atoms is a topic of interest across a range of cold atoms experiments. This is driven by their potential utility in quantum technologies such as precision atom interferometry [1][2][3][4][5] and quantum simulation [6][7][8], as well as fundamental tests of quantum mechanics such as atomic EPR entanglement [9][10][11], the atomic Hong-Ou-Mandel effect [12][13][14] and demonstrations of a Bell inequality using motional degrees of freedom and massive particles [15][16][17][18][19]. Essential to each of these applications has been the ability to well characterise, both theoretically and experimentally, the nature of these atom-pairs as well as their intrinsic correlations [12,[20][21][22][23][24][25][26][27][28][29][30][31][32][33] Recent experiments involving atom-pairs have relied on protocols which can be reduced to the archetypal process of four-wave mixing: A pair of atoms in a coherent Bose-Einstein condensate (BEC) interact and are scattered into a distinct pair of modes (in terms of either spatial, motional or internal degrees of freedom) outside the condensate.…”

Section: Introductionmentioning

confidence: 99%

“…Our ultimate interest in the properties of twin beams produced via phase-fluctuating sources is motivated by their possible utility for fundamental tests of quantum mechanics such as violation of a Bell inequality [18,19,23]. Demonstration of a Bell inequality violation intrinsically relies on phasesensitive measurements of pair correlations with respect to well-defined relative phase-settings of the underlying interferometric setup [18,36]. For ultracold atoms, this was shown to be theoretically possible using a phase-coherent BEC source [19].…”

Section: Introductionmentioning

confidence: 99%

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Atomic twin beams and violation of a motional-state Bell inequality from a phase-fluctuating quasicondensate source

Lewis-Swan

Kheruntsyan

2020

Phys. Rev. A

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We investigate the dynamics of atomic twin beams produced from a phase-fluctuating source, specifically a 1D Bose gas in the quasi-condensate regime, motivated by the experiment reported in Nature Physics 7, 608 (2011). A short-time analytic model is constructed, which is a modified version of the undepleted pump approximation widely used in quantum and atom optics, except that here we take into account the initial phase fluctuations of the pump source as opposed to assuming long-range phase coherence. We use this model to make quantitative and qualitative predictions of how phase-fluctuations of the source impact the two-particle correlations of scattered atom-pairs. The model is benchmarked against detailed numerical simulations using stochastic phase-space methods, and is shown to validate the intuitive notion that the broadening of momentum-space correlation functions between atoms scattered from a quasi-condensate is driven by the broadened momentum width of the source compared to a true phase coherent condensate. Finally, we combine these theoretical tools and results to investigate the effect phase fluctuations of the twin-beam source can have on a proposed demonstration of a violation of a Bell inequality, which intrinsically relies on phase-sensitive pair correlations. arXiv:2002.01998v1 [cond-mat.quant-gas]

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The Hong–Ou–Mandel Effect With Atoms

Kaufman¹,

Tichy²,

Mintert³

et al. 2018

Advances in Atomic, Molecular, and Optical Physics

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Controlling light at the level of individual photons has led to advances in fields ranging from quantum information and precision sensing to fundamental tests of quantum mechanics. A central development that followed the advent of single photon sources was the observation of the Hong-Ou-Mandel (HOM) effect, a novel two-photon path interference phenomenon experienced by indistinguishable photons. The effect is now a central technique in the field of quantum optics, harnessed for a variety of applications such as diagnosing single photon sources and creating probabilistic entanglement in linear quantum computing. Recently, several distinct experiments using atomic sources have realized the requisite control to observe and exploit Hong-Ou-Mandel interference of atoms. This article provides a summary of this phenomenon and discusses some of its implications for atomic systems. Transitioning from the domain of photons to atoms opens new perspectives on fundamental concepts, such as the classification of entanglement of identical particles. It aids in the design of novel probes of quantities such as entanglement entropy by combining well established tools of AMO physics -unity single-atom detection, tunable interactions, and scalability -with the Hong-Ou-Mandel interference. Furthermore, it is now possible for established protocols in the photon community, such as measurement-induced entanglement, to be employed in atomic experiments that possess deterministic single-particle production and detection. Hence, the realization of the HOM effect with atoms represents a productive union of central ideas in quantum control of atoms and photons.

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Two-Particle Four-Mode Interferometer for Atoms

Cited by 20 publications

References 23 publications

Thermal counting statistics in an atomic two-mode squeezed vacuum state

Thermal counting statistics in an atomic two-mode squeezed vacuum state

Atomic twin beams and violation of a motional-state Bell inequality from a phase-fluctuating quasicondensate source

The Hong–Ou–Mandel Effect With Atoms

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