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Splitting the entanglement

When particles in a quantum mechanical system are entangled, a measurement performed on one part of the system can affect the results of the same type of measurement performed on another part—even if these subsystems are physically separated. Kunkel et al., Fadel et al., and Lange et al. achieved this so-called distributed entanglement in a particularly challenging setting: an ensemble of many cold atoms (see the Perspective by Cavalcanti). In all three studies, the entanglement was first created within an atomic cloud, which was then allowed to expand. Local measurements on the different, spatially separated parts of the cloud confirmed that the entanglement survived the expansion.
Science, this issue p. 413, p. 409, p. 416; see also p. 376

Abstract

Modern quantum technologies in the fields of quantum computing, quantum simulation, and quantum metrology require the creation and control of large ensembles of entangled particles. In ultracold ensembles of neutral atoms, nonclassical states have been generated with mutual entanglement among thousands of particles. The entanglement generation relies on the fundamental particle-exchange symmetry in ensembles of identical particles, which lacks the standard notion of entanglement between clearly definable subsystems. Here, we present the generation of entanglement between two spatially separated clouds by splitting an ensemble of ultracold identical particles prepared in a twin Fock state. Because the clouds can be addressed individually, our experiments open a path to exploit the available entangled states of indistinguishable particles for quantum information applications.
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Supplementary Material

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References and Notes

1
T. Monz, P. Schindler, J. T. Barreiro, M. Chwalla, D. Nigg, W. A. Coish, M. Harlander, W. Hänsel, M. Hennrich, R. Blatt, 14-Qubit entanglement: Creation and coherence. Phys. Rev. Lett. 106, 130506 (2011).
2
R. Islam, Nature 528, 77–83 (2015).
3
X.-L. Wang, L.-K. Chen, W. Li, H.-L. Huang, C. Liu, C. Chen, Y.-H. Luo, Z.-E. Su, D. Wu, Z.-D. Li, H. Lu, Y. Hu, X. Jiang, C.-Z. Peng, L. Li, N.-L. Liu, Y.-A. Chen, C.-Y. Lu, J.-W. Pan, Experimental ten-photon entanglement. Phys. Rev. Lett. 117, 210502 (2016).
4
R. McConnell, H. Zhang, J. Hu, S. Ćuk, V. Vuletić, Entanglement with negative Wigner function of almost 3,000 atoms heralded by one photon. Nature 519, 439–442 (2015).
5
F. Haas, J. Volz, R. Gehr, J. Reichel, J. Estève, Entangled states of more than 40 atoms in an optical fiber cavity. Science 344, 180–183 (2014).
6
O. Hosten, N. J. Engelsen, R. Krishnakumar, M. A. Kasevich, Measurement noise 100 times lower than the quantum-projection limit using entangled atoms. Nature 529, 505–508 (2016).
7
B. Julsgaard, A. Kozhekin, E. S. Polzik, Experimental long-lived entanglement of two macroscopic objects. Nature 413, 400–403 (2001).
8
J. Estève, C. Gross, A. Weller, S. Giovanazzi, M. K. Oberthaler, Squeezing and entanglement in a Bose-Einstein condensate. Nature 455, 1216–1219 (2008).
9
C. Gross, T. Zibold, E. Nicklas, J. Estève, M. K. Oberthaler, Nonlinear atom interferometer surpasses classical precision limit. Nature 464, 1165–1169 (2010).
10
M. F. Riedel, P. Böhi, Y. Li, T. W. Hänsch, A. Sinatra, P. Treutlein, Atom-chip-based generation of entanglement for quantum metrology. Nature 464, 1170–1173 (2010).
11
B. Lücke, M. Scherer, J. Kruse, L. Pezzé, F. Deuretzbacher, P. Hyllus, O. Topic, J. Peise, W. Ertmer, J. Arlt, L. Santos, A. Smerzi, C. Klempt, Twin matter waves for interferometry beyond the classical limit. Science 334, 773–776 (2011).
12
C. D. Hamley, C. S. Gerving, T. M. Hoang, E. M. Bookjans, M. S. Chapman, Spin-nematic squeezed vacuum in a quantum gas. Nat. Phys. 8, 305–308 (2012).
13
T. Berrada, S. van Frank, R. Bücker, T. Schumm, J.-F. Schaff, J. Schmiedmayer, Integrated Mach-Zehnder interferometer for Bose-Einstein condensates. Nat. Commun. 4, 2077 (2013).
14
N. Killoran, M. Cramer, M. B. Plenio, Extracting entanglement from identical particles. Phys. Rev. Lett. 112, 150501 (2014).
15
B. Yurke, D. Stoler, Bell’s-inequality experiments using independent-particle sources. Phys. Rev. A 46, 2229–2234 (1992).
16
B. Lücke, J. Peise, G. Vitagliano, J. Arlt, L. Santos, G. Tóth, C. Klempt, Detecting multiparticle entanglement of Dicke states. Phys. Rev. Lett. 112, 155304 (2014).
17
X.-Y. Luo, Y.-Q. Zou, L.-N. Wu, Q. Liu, M.-F. Han, M. K. Tey, L. You, Deterministic entanglement generation from driving through quantum phase transitions. Science 355, 620–623 (2017).
18
J. Peise, I. Kruse, K. Lange, B. Lücke, L. Pezzè, J. Arlt, W. Ertmer, K. Hammerer, L. Santos, A. Smerzi, C. Klempt, Satisfying the Einstein-Podolsky-Rosen criterion with massive particles. Nat. Commun. 6, 8984 (2015).
19
J. Tura, R. Augusiak, A. B. Sainz, T. Vértesi, M. Lewenstein, A. Acín, Quantum nonlocality. Detecting nonlocality in many-body quantum states. Science 344, 1256–1258 (2014).
20
J. Tura, R. Augusiak, A. B. Sainz, B. Lücke, C. Klempt, M. Lewenstein, A. Acín, Nonlocality in many-body quantum systems detected with two-body correlators. Ann. Phys. 362, 370–423 (2015).
21
R. Schmied, J.-D. Bancal, B. Allard, M. Fadel, V. Scarani, P. Treutlein, N. Sangouard, Bell correlations in a Bose-Einstein condensate. Science 352, 441–444 (2016).
22
R. Bücker, J. Grond, S. Manz, T. Berrada, T. Betz, C. Koller, U. Hohenester, T. Schumm, A. Perrin, J. Schmiedmayer, Twin-atom beams. Nat. Phys. 7, 608–611 (2011).
23
R. Lopes, A. Imanaliev, A. Aspect, M. Cheneau, D. Boiron, C. I. Westbrook, Atomic Hong-Ou-Mandel experiment. Nature 520, 66–68 (2015).
24
P. Dussarrat, M. Perrier, A. Imanaliev, R. Lopes, A. Aspect, M. Cheneau, D. Boiron, C. I. Westbrook, Two-particle four-mode interferometer for atoms. Phys. Rev. Lett. 119, 173202 (2017).
25
C. Klempt, O. Topic, G. Gebreyesus, M. Scherer, T. Henninger, P. Hyllus, W. Ertmer, L. Santos, J. J. Arlt, Multiresonant spinor dynamics in a Bose-Einstein condensate. Phys. Rev. Lett. 103, 195302 (2009).
26
M. Scherer, B. Lücke, G. Gebreyesus, O. Topic, F. Deuretzbacher, W. Ertmer, L. Santos, J. J. Arlt, C. Klempt, Spontaneous breaking of spatial and spin symmetry in spinor condensates. Phys. Rev. Lett. 105, 135302 (2010).
27
J. DiGuglielmo, B. Hage, A. Franzen, J. Fiurášek, R. Schnabel, Experimental characterization of gaussian quantum-communication channels. Phys. Rev. A 76, 012323 (2007).
28
T. Eberle, V. Händchen, J. Duhme, T. Franz, R. F. Werner, R. Schnabel, Strong einstein-podolsky-rosen entanglement from a single squeezed light source. Phys. Rev. A 83, 052329 (2011).
29
A. Einstein, B. Podolsky, N. Rosen, Can quantum-mechanical description of physical reality be considered complete? Phys. Rev. 47, 777–780 (1935).
30
L.-M. Duan, G. Giedke, J. I. Cirac, P. Zoller, Inseparability criterion for continuous variable systems. Phys. Rev. Lett. 84, 2722–2725 (2000).
31
R. Simon, Peres-horodecki separability criterion for continuous variable systems. Phys. Rev. Lett. 84, 2726–2729 (2000).
32
Materials and methods are available as supplementary materials.
33
M. D. Reid, Demonstration of the Einstein-Podolsky-Rosen paradox using nondegenerate parametric amplification. Phys. Rev. A 40, 913–923 (1989).
34
L.-M. Duan, A. Sørensen, J. I. Cirac, P. Zoller, Squeezing and entanglement of atomic beams. Phys. Rev. Lett. 85, 3991–3994 (2000).
35
W. Wieczorek, R. Krischek, N. Kiesel, P. Michelberger, G. Tóth, H. Weinfurter, Experimental entanglement of a six-photon symmetric Dicke state. Phys. Rev. Lett. 103, 020504 (2009).
36
N. Kiesel, W. Wieczorek, S. Krins, T. Bastin, H. Weinfurter, E. Solano, Operational multipartite entanglement classes for symmetric photonic qubit states. Phys. Rev. A 81, 032316 (2010).
37
F. Laloë, W. J. Mullin, Interferometry with independent Bose-Einstein condensates: Parity as an EPR/Bell quantum variable. Eur. Phys. J. B 70, 377–396 (2009).
38
P. Kunkel, M. Prüfer, H. Strobel, D. Linnemann, A. Frölian, T. Gasenzer, M. Gärttner, M. K. Oberthaler, Spatially distributed multipartite entanglement enables EPR steering of atomic clouds. Science 360, 413–416 (2018).
39
M. Fadel, T. Zibold, B. Décamps, P. Treutlein, Spatial entanglement patterns and Einstein-Podolsky-Rosen steering in Bose-Einstein condensate. Science 360, 409–413 (2018).
40
Y. Castin, R. Dum, Bose-Einstein condensates in time dependent traps. Phys. Rev. Lett. 77, 5315–5319 (1996).
41
P. Hyllus, L. Pezzé, A. Smerzi, G. Tóth, Entanglement and extreme spin squeezing for a fluctuating number of indistinguishable particles. Phys. Rev. A 86, 012337 (2012).

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Published In

Science
Volume 360 | Issue 6387
27 April 2018

Submission history

Received: 28 June 2017
Accepted: 22 March 2018
Published in print: 27 April 2018

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Acknowledgments

C.K. thanks M. Cramer for the discussion at the 589. Heraeus seminar that led to the initial idea for the experiments. C.K. thanks A. Smerzi, L. Santos, and W. Ertmer for regular inspiring discussions and a review of the manuscript. Funding: This work was supported by the European Union (European Research Council Starting Grant 258647/GEDENTQOPT, CHIST-ERA QUASAR, COST Action CA15220, European Research Council Consolidator Grant 683107/TempoQ and QuantERA CEBBEC); the Spanish Ministry of Economy, Industry and Competitiveness and the European Regional Development Fund FEDER through grant FIS2015-67161-P (MINECO/FEDER); the Basque government (project IT986-16); the National Research, Development, and Innovation Office (NKFIH) (grant K124351); the Deutsche Forschungsgemeinschaft (DFG) (Forschungsstipendium KL 2726/2-1 and project KL2421/2-1); the FQXi (grant FQXi-RFP-1608); and the Austrian Science Fund (FWF) through the START project Y879-N27. We also acknowledge support from DFG through RTG 1729 and CRC 1227 (DQ-mat), project A02. Author contributions: K.L., J.P., B.L., I.K., and C.K. performed the experiments. G.V., I.A., M.K., B.L., C.K., and G.T. contributed to the development of the entanglement criterion. All authors discussed the results and contributed to the data analysis and the writing of the manuscript. Competing interests: The authors declare no competing financial interests. Data and materials availability: The experimental data presented in the figures are available at https://doi.org/10.5281/zenodo.1186798. Other materials may be requested from the corresponding author.

Authors

Affiliations

Institut für Quantenoptik, Leibniz Universität Hannover, Welfengarten 1, D-30167 Hannover, Germany.
Jan Peise
Institut für Quantenoptik, Leibniz Universität Hannover, Welfengarten 1, D-30167 Hannover, Germany.
Bernd Lücke
Institut für Quantenoptik, Leibniz Universität Hannover, Welfengarten 1, D-30167 Hannover, Germany.
Ilka Kruse
Institut für Quantenoptik, Leibniz Universität Hannover, Welfengarten 1, D-30167 Hannover, Germany.
Institute for Quantum Optics and Quantum Information (IQOQI), Austrian Academy of Sciences, Boltzmanngasse 3, A-1090 Vienna, Austria.
Department of Theoretical Physics, University of the Basque Country UPV/EHU, Post Office Box 644, E-48080 Bilbao, Spain.
Iagoba Apellaniz
Department of Theoretical Physics, University of the Basque Country UPV/EHU, Post Office Box 644, E-48080 Bilbao, Spain.
Department of Theoretical Physics, University of the Basque Country UPV/EHU, Post Office Box 644, E-48080 Bilbao, Spain.
Naturwissenschaftlich–Technische Fakultät, Universität Siegen, Walter-Flex-Straße 3, D-57068 Siegen, Germany.
Department of Theoretical Physics, University of the Basque Country UPV/EHU, Post Office Box 644, E-48080 Bilbao, Spain.
Ikerbasque, Basque Foundation for Science, E-48013 Bilbao, Spain.
Wigner Research Centre for Physics, Hungarian Academy of Sciences, Post Office Box 49, H-1525 Budapest, Hungary.
Institut für Quantenoptik, Leibniz Universität Hannover, Welfengarten 1, D-30167 Hannover, Germany.

Funding Information

Deutsche Forschungsgemeinschaft: Forschungsstipendium KL 2726/2-1
Deutsche Forschungsgemeinschaft: CRC 1227 (DQ-mat), project A02
European Union: ERC Starting Grant 258647/GEDENTQOPT
European Union: CHIST-ERA QUASAR
Austrian Science Fund (FWF): START project Y879-N27
FQXi: FQXi-RFP-1608
Spanish Ministry of Economy, Industry and Competitiveness and the European Regional Development Fund FEDER: FIS2015-67161-P (MINECO/FEDER)
Basque Government: Project No. IT986-16
National Research Fund of Hungary OTKA: Contract No. K83858
European Union: COST Action CA15220

Notes

*Corresponding author. Email: [email protected]

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