Spatially distributed multipartite entanglement enables EPR steering of atomic clouds

Kunkel, Philipp; Prüfer, Maximilian; Strobel, Helmut; Linnemann, Daniel; Frölian, Anika; Gasenzer, Thomas; Gärttner, Martin; Oberthaler, Markus K.

doi:10.1126/science.aao2254

Cited by 226 publications

(177 citation statements)

References 45 publications

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“…Recently, Oudot, Sangouard, and coworkers examined entanglement witnesses for such entangled BECs in the presence of local white noise [45]. Our physical model differs from this work and those experimental results in [30][31][32] as we consider the spatial separations to be large enough such that particle number superpositions on the left and right wells collapse to a fixed number. This is reasonable from the perspective that quantum tunneling should be highly suppressed for large splitting separations.…”

Section: Introductionmentioning

confidence: 86%

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Split spin-squeezed Bose–Einstein condensates

et al. 2019

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We investigate and model a method for producing entanglement between two spatially separated Bose-Einstein condensates (BECs). In our approach, a spin-polarized BEC is squeezed using a (S z ) 2 interaction, then are split into two separate clouds. After the split, we consider that the particle number in each cloud collapses to a fixed number. We show that this procedure is equivalent to applying an interaction corresponding to squeezing each cloud individually plus an entangling operation. We analyze the system's inter-well entanglement properties and show that it can be detected using correlation-based entanglement criteria. The nature of the states is illustrated by Wigner functions and have the form of a correlated squeezed state. The conditional Wigner function shows high degrees of non-classicality for dimensionless squeezing times beyond N 1 , where N is the number of particles per BEC.

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Section: Introductionmentioning

confidence: 86%

“…Recently, several experiments showing entanglement between spatially separated parts of a single BEC were reported [30][31][32]. In these works, the images of a single BEC are partitioned into regions, which define the subsystems.…”

Section: Introductionmentioning

confidence: 99%

Split spin-squeezed Bose–Einstein condensates

et al. 2019

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“…By having such observables in a system, it becomes possible to quantify entanglement [28,[49][50][51][52]. For example, in a recent experiments [31][32][33], bipartitate entanglement has been reported for ultracold atomic BECs by measuring collective spins.…”

Section: Bipartite Entanglementmentioning

confidence: 99%

“…Besides fundamental interest, the model with the use of Holstein-Primakoff representation also offers the possibility to detect bipartite entanglement from macroscopic observables. In large systems, it was shown that entanglement can be inferred from collective spin measurements [27,28], and experimental observations using this method have been reported between two spatially separated atomic ensembles [29][30][31][32][33] and between the spins of atoms in optical lattices [34,35]. Here we analyze such phenomena through the miscibility-immiscibility transition, by adopting the spin form of two-mode entanglement witness given in [36].…”

Section: Introductionmentioning

confidence: 99%

Binary mixture of Bose-Einstein condensates in a double-well potential: Berry phase and two-mode entanglement

Günay

2020

Phys. Rev. A

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A binary mixtures of Bose-Einstein condensate (BEC) structures exhibit an incredible richness in terms of holding different kinds of phases. Depending on the ratio of the inter-and intra-atomic interactions, the transition from mixed to separated phase, which is also known as the miscibilityimmiscibility transition, has been reported in different setups and by different groups. Here, we describe such type of quantum phase transition (QPT) in an effective Hamiltonian approach, by applying Holstein-Primakoff transformation in the limit of large number of particles. We demonstrate that non-trivial geometric phase near the critical coupling is present, which confirms the connection between Berry phase and QPT. We also show that, by using the spin form of Hillery & Zubairy criterion, a two mode entanglement accompanies this transition in the limit of large, but not infinite number of particles. APPENDIXHere we show the derivations of Eqs. (29) and (30). By inserting displaced operators defined in Eq. (12) into the

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“…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%

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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Spatially distributed multipartite entanglement enables EPR steering of atomic clouds

Cited by 226 publications

References 45 publications

Split spin-squeezed Bose–Einstein condensates

Split spin-squeezed Bose–Einstein condensates

Binary mixture of Bose-Einstein condensates in a double-well potential: Berry phase and two-mode entanglement

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

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