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Controlled collisions for multi-particle entanglement of optically trapped atoms
Open accessAbstract
Entanglement lies at the heart of quantum mechanics, and in recent years has been identified as an essential resource for quantum information processing and computation. The experimentally challenging production of highly entangled multi-particle states is therefore important for investigating both fundamental physics and practical applications. Here we report the creation of highly entangled states of neutral atoms trapped in the periodic potential of an optical lattice. Controlled collisions between individual neighbouring atoms are used to realize an array of quantum gates, with massively parallel operation. We observe a coherent entangling-disentangling evolution in the many-body system, depending on the phase shift acquired during the collision between neighbouring atoms. Such dynamics are indicative of highly entangled many-body states; moreover, these are formed in a single operational step, independent of the size of the system.
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“Tuning the polarization of the trapping lasers can induce entangling interactions 22,23 between neighboring atoms across the array and create a cluster state across the whole lattice 20,24,25 .”
From Measurement-based quantum computation (2009) · cites this paper as [25]
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“require such a quantification to be versatile enough to deal with the states encountered in actual experiments, which are in general mixed and typically involve several particles.”
From Measures and dynamics of entangled states (2005) · cites this paper as [8]
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“In general, perfect screening is impossible, but experimental techniques are sufficiently advanced [5,8,74] to preserve entanglement over appreciable periods of time.”
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Cites
Introduction to Percolation Theory
Stauffer, D., Amnon Aharony, A., & Redner, S. (1993) · Physics Today · doi:10.1063/1.2808877 · Cited by 6,822
Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
Greiner, M., Mandel, O., Esslinger, T., Hänsch, T. W., & Bloch, I. (2002) · Nature · doi:10.1038/415039a · Cited by 5,935
Self-citationRaussendorf, R., & Briegel, H. J. (2001) · Physical Review Letters · doi:10.1103/physrevlett.86.5188 · Cited by 4,477
Cold Bosonic Atoms in Optical Lattices
Jaksch, D., Bruder, C., Cirac, J. I., Gardiner, C. W., & Zoller, P. (1998) · Physical Review Letters · doi:10.1103/physrevlett.81.3108 · Cited by 3,685
Persistent Entanglement in Arrays of Interacting Particles
Briegel, H. J., & Raussendorf, R. (2001) · Physical Review Letters · doi:10.1103/physrevlett.86.910 · Cited by 1,950
Gottesman, D., & Chuang, I. L. (1999) · Nature · doi:10.1038/46503 · Cited by 1,860
Feynman, R. P. (1986) · Foundations of Physics · doi:10.1007/bf01886518 · Cited by 1,770
Bell’s Theorem, Quantum Theory and Conceptions of the Universe
(1989) · doi:10.1007/978-94-017-0849-4 · Cited by 1,632
Optical Dipole Traps for Neutral Atoms
Grimm, R., Weidemüller, M., & Ovchinnikov, Y. B. (2000) · Advances in atomic, molecular, and optical physics · doi:10.1016/s1049-250x(08)60186-x · Cited by 1,550
Introduction To Percolation Theory
Stauffer, D., & Aharony, A. (2018) · Taylor & Francis eBooks · doi:10.1201/9781315274386 · Cited by 1,462
Flagged first, then by citations
Research works printed but not linked: 1
- Jaksch, D. Bose–Einstein condensation and applications. Naturwissenschaftliche Fakultät. PhD thesis, 97–197, Leopold-Franzens-Univ., Innsbruck (1999)
Cited by
Sorted by citations
Items 701–789 of 789
Building regular strings of trapped neutral atoms with 2-D optical tweezers
Rauschenbeutel, A., & Meschede, D. (2005) · Conference on Lasers and Electro-Optics · doi:10.1109/iqec.2005.1560847
Strong correlations in ultracold atomic gases
Nunnenkamp, A. (2008) · Oxford University Research Archive (ORA) (University of Oxford) · doi:10.5287/ora-pzgp0r7dz
The Advantages of Extra Entanglement
Widera, A. (2014) · Science · doi:10.1126/science.1251472
Self-citationConsistent isolation of individual atoms using cold collisions
Andersen, M. F., Grünzweig, T., Hilliard, A. J., McGovern, M., & Fung, Y. H. (2011) · doi:10.1364/iqec.2011.i94
Atomic Spin Flip Loss and Spatial Decoherence
Fermani, R., Scheel, S., & Knight, P. L. (2006) · Acta Physica Hungarica A) Heavy Ion Physics · doi:10.1556/aph.26.2006.1-2.8
Remote Preparation of a Two-ion Entangled State with a Four-ion Cluster State
Cai, L., Cai, L., & Li, W. (2015) · International Journal of Theoretical Physics · doi:10.1007/s10773-015-2512-7
ITERATIVE ENTANGLEMENT DISTILLATION FOR FINITE RESOURCES
Probst‐Schendzielorz, S., Bschorr, T. C., & Freyberger, M. (2005) · Fluctuation and Noise Letters · doi:10.1142/s0219477505002926
Probing optical lattice states with double well atom interferometry
Johnson, P. R. (2008) · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · doi:10.1117/12.777757
Why and how should we control decoherence?
Kurizki, G., Gordon, G., & Noam Erez, A. (2008) · Journal of Modern Optics · doi:10.1080/09500340802318325
Site-selectivity and spin exchange in a double-well optical lattice
Lee, P. J., Anderlini, M., Brown, B. L., Sebby-Strabley, J., Phillips, W. D., & Porto, J. V. (2007) · Quantum Electronics and Laser Science Conference · doi:10.1109/qels.2007.4431677
Rapid measurement of atomic clock-state qubits for violating Bell inequalities
Stock, R., Babcock, N. S., Raizen, M. G., & Sanders, B. C. (2007) · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · doi:10.1117/12.734791
Ein Quanten‐Abakus aus Licht und Atomen. Manipulation von neutralen Atomen
Rauschenbeutel, A. (2008) · Physik in unserer Zeit · doi:10.1002/piuz.200801162
Holographic Bound and the Quantum Communications
Farmany, A., Noorizadeh, H., Mortazavi, S. S., & Farhadian, A. (2011) · Journal of Applied Sciences · doi:10.3923/jas.2011.2883.2885
GOSSAMER SUPERFLUID AND ANTIFERROMAGNETIC STATE OF COLD ATOMS IN OPTICAL LATTICES
Hong-Yi, Y., Sun, F., & Ji, A.-C. (2010) · Modern Physics Letters B · doi:10.1142/s0217984910024833
Matter wave interference of single trapped atoms
Choi, J.-M., Förster, L., Karski, M., Steffen, A., Wang, T., Alt, W., Widera, A., & Meschede, D. (2009) · Conference on Lasers and Electro-Optics Europe & European Quantum Electronics Conference (CLEO/Europe-EQEC) · doi:10.1109/cleoe-eqec.2009.5192364
Self-citationRamachandran, H., Kastberg, A., Narayanan, A., & Srinivasan, R. (2006) · Physical Review A · doi:10.1103/physreva.74.042314
Diagram rules for a chain of entangled ultracold atoms in optical lattices
Liu, S. J. (2006) · Physica B Condensed Matter · doi:10.1016/j.physb.2006.06.161
The Effect of Impurities in a Three-Qubit Ising Spin Model
Liu, J., Liu, G., & Du, X.-H. (2011) · International Journal of Theoretical Physics · doi:10.1007/s10773-011-1027-0
Three-Party Quantum Secure Sharing Using a Four-Particle Cluster State and Driven Cavity QED
Shan, C.-J., Liu, J., Chen, T., Cheng, W. W., Liu, T., Huang, Y.-X., & Li, H. (2010) · International Journal of Theoretical Physics · doi:10.1007/s10773-010-0358-6
Viewpoint: Localize and Conquer!
Paternostro, M. (2013)
Velocity-controlled entanglement of two atoms
Xun-Ming, C., & Meng-Hui, F. (2011) · International Conference on Consumer Electronics, Communications and Networks (CECNet) · doi:10.1109/cecnet.2011.5768433
How to characterize the dynamics of cold atoms in non dissipative optical lattices?
Hennequin, D., & Verkerk, P. (2009) · Conference on Lasers and Electro-Optics Europe & European Quantum Electronics Conference (CLEO/Europe-EQEC) · doi:10.1109/cleoe-eqec.2009.5192468
Bose-Einstein Condensates in Optical Lattices: Experiments
Morsch, O. (2007) · Springer eBooks · doi:10.1007/978-3-540-73591-5_14
How to distill entanglement from a finite amount of qubits?
Probst‐Schendzielorz, S., Bschorr, T. C., & Freyberger, M. (2006) · Fortschritte der Physik · doi:10.1002/prop.200610317
Shim, H. (2011) · SUNY Digital Repository Support (State University of New York System)
Magnetic Trapping Apparatus and Frequency Stabilization of a Ring Cavity Laser for
Experiments, B.-E. C., & Kinski, I. B. (2005)
Quantum Gases in State-Dependent Optical Potentials
Reimann, R. (2009) · SUNY Digital Repository Support (State University of New York System)
Mathematisch-naturwissenschaftlichen Fakultät, I., & Bonn, R. F.-W.-U. (2006)
Using Graph States for Quantum Computation and Communication
Goyal, K. (2009) · CaltechTHESIS (California Institute of Technology) · doi:10.7907/wr8c-1h18
Investigation of Coherence and its Decay Mechanisms in an Optical Lattice
Maneshi, S. (2011) · TSpace (University of Toronto)
Sources de lumière pour l'information quantique
Messin, G. (2008) · HAL
Intrication de deux atomes en utilisant le blocage de
Gaétan, A. (2010)
Paternostro, M. (2013) · Physics · doi:10.1103/physics.6.99
Leung, M. A., Mahmud, K. W., & Reinhardt, W. P. (2010) · arXiv (Cornell University)
Paternostro, M., Miles, J. A., Simmons, Z. J., & Yavuz, D. D. (2013)
Hauke, P. (2015) · Physics · doi:10.1103/physics.8.66
Phase diagram of the easy-plane ferromagnetic-antiferromagnetic S=1 Heisenberg chain
Pan, L., Cao, Y., Xi, B., & Liu, Y. (2017) · Physica B Condensed Matter · doi:10.1016/j.physb.2017.07.045
Controlling ultracold gases on the quantum level
Denschlag, J. H. (2005)
Quantum Optics with Ultra-Cold Atoms
Li, L. (2016) · Deep Blue (University of Michigan)
Creation of an unequally weighted four-mode square cluster state in a ring cavity
Yan, Y., Huang, G., Zhou, Z., & Li, G. (2019) · Journal of the Optical Society of America B · doi:10.1364/josab.36.001700
Quantum Information Processing with Trapped Neutral Atoms
Jessen, P., Deutsch, I., & Stock, R. (2007) · Springer eBooks · doi:10.1007/0-387-27732-3_7
Exact diagonalization studies of quantum simulators
Raventós, D. (2019) · UPCommons institutional repository (Universitat Politècnica de Catalunya) · doi:10.5821/dissertation-2117-132776
Design and Construction of Magnetic Coils for Quantum Magnetism Experiments
Puentes, G. (2020) · Quantum Reports · doi:10.3390/quantum2030026
Nakagawa, K. (2011) · The Review of Laser Engineering · doi:10.2184/lsj.39.904
Ultracold gases in presence of time-dependent synthetic gauge field
Nabi, S. N., Dutta, S., & Basu, S. (2020) · The European Physical Journal B · doi:10.1140/epjb/e2019-100495-6
Dynamic phase fluctuations in potential-driven Bose–Einstein condensate
Ma, D., Koval, V., & Jia, C. (2020) · New Journal of Physics · doi:10.1088/1367-2630/ab67eb
Quantum state manipulation and quantum chaos in an optical lattice
Kanem, J. F. (2007) · TSpace (University of Toronto)
Fases cuánticas de mezclas de átomos bosónicos y fermiónicos en una dimensión
Sarmiento, A., & Giovanni, R. (2020)
One-dimensional far-detuned optical lattice realized with a multimode 1064 nm laser
Yuan, Y., Xiao-Gang, L., Bai, J.-H., Li, J.-J., Wu, L.-A., Fu, P., Wang, R., & Zhan-Chun, Z. (2016) · Acta Physica Sinica · doi:10.7498/aps.65.043701
High-fidelity state preparation and measurement (SPAM) in a 3D neutral atom quantum computer
Giraldo, F., Wu, T.-Y., Du, P., Kumar, A., & Weiss, D. S. (2020) · OSA Quantum 2.0 Conference · doi:10.1364/quantum.2020.qw5b.2
Consistent isolation of individual atoms using cold collisions
Andersen, M. F., Griinzweig, T., Hilliard, A. J., McGovern, M., & Fung, Y. H. (2011) · doi:10.1109/iqec-cleo.2011.6193628
Discrete-Time Quantum Walk - Dynamics and ApplicationsPreprint
Madaiah, C. (2010) · arXiv (Cornell University) · doi:10.48550/arxiv.1001.5326 · Cited by 22
Two‐dimensional Bose‐Einstein Condensates in a CO 2 ‐laser Optical Lattice
Cennini, G., Geckeler, C., Ritt, G., Salger, T., & Weitz, M. (2007) · Wiley eBooks · doi:10.1002/9783527611065.ch6
How to Distill Entanglement from a Finite Amount of Qubits?
Probst‐Schendzielorz, S., Bschorr, T. C., & Freyberger, M. (2007) · doi:10.1002/9783527611065.ch13
Ultracold Atomic Gases: Novel States of Matter
Mathey, L., Tsai, S.-W., & Neto, A. H. C. (2013) · Springer eBooks · doi:10.1007/978-3-642-27737-5_573-3
Measure of Tripartite Quantum Correlation in Multiqubit Symmetric Pure State
Deb, R. N. (2022) · Brazilian Journal of Physics · doi:10.1007/s13538-022-01080-0
Ensemble Quantum Computation and Algorithmic Cooling in Optical Lattices
Popp, M., Vollbrecht, K. G. H., & Cirac, J. I. (2007) · doi:10.1002/9783527611065.ch4
Quantum Computing with Cold Ions and Atoms: Theory
Jaksch, D., García‐Ripoll, J. J., Cirac, J. I., & Zoller, P. (2006) · Wiley eBooks · doi:10.1002/9783527618637.ch22
(2011) · Elsevier eBooks · doi:10.1016/b978-0-12-383874-2.00009-6
Endres, M. (2014) · Springer theses · doi:10.1007/978-3-319-05753-8_10
(2018) · SciPost Physics · doi:10.21468/scipost.report.528
Creating and Probing Long‐range Order in Atomic Clouds
von Cube, C., Slama, S., Kohler, M., Zimmermann, C., & Courteille, P. W. (2007) · doi:10.1002/9783527611065.ch7
(2012) · Elsevier eBooks · doi:10.1016/b978-0-444-53786-7.00052-6
Mahmoudi, M., & Soltani, M. R. (2022) · Journal of Superconductivity and Novel Magnetism · doi:10.1007/s10948-022-06273-x
Representations of Graph States with Neural Networks
Yang, Y. (2023) · Acta Mathematica Sinica English Series · doi:10.1007/s10114-023-1353-1
Boosted Binary Quantum Classifier via Graphical Kernel
Cai, Y., & Huang, D. (2023) · Entropy · doi:10.3390/e25060870
Quantum phases of two-component bosons in a non-Hermitian optical lattice system
Zhang, X., & Yang, S.-J. (2023) · International Journal of Modern Physics B · doi:10.1142/s0217979224503430
Fermi-Bose crossover in superconductors: Disorder in control
Karmakar, M., & Narayanan, R. (2025) · Physical Review Research · doi:10.1103/hmyb-2b8q
Matter-wave collimation to picokelvin energies with scattering length and potential shape controlPreprint
Herbst, A., Estrampes, T., Albers, H., Corgier, R., Stolzenberg, K., Bode, S., Charron, É., Rasel, E. M., Gaaloul, N., & Schlippert, D. (2023) · arXiv (Cornell University) · doi:10.48550/arxiv.2310.04383
Agarwal, K. D., Ghosh, D., Halder, P., & De, A. S. (2026) · Physical review. B./Physical review. B · doi:10.1103/3d7w-2n3m · Cited by 1
Random matrix approach to time-dependent forcing in many-body quantum systems
Dabelow, L., & Reimann, P. (2024) · Physical review. B./Physical review. B · doi:10.1103/physrevb.110.144308
Hardware Designs and Modeling for Cold Matter Trapping and Transportation
Kouzaev, G. A. (2024) · Lecture notes in electrical engineering · doi:10.1007/978-3-031-73892-0_10
Ultracold Atoms as Coherent Systems
Onofrio, R., & Salasnich, L. (2024) · Lecture notes in physics · doi:10.1007/978-3-031-76004-4_5
He, S., Liu, Y., Xi, B., Luo, H., Luo, Q., & Zhao, J. (2025) · Physical review. B./Physical review. B · doi:10.1103/physrevb.111.235110
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Reuter, J. A. P., Singh, J., Calarco, T., Motzoi, F., & Zeier, R. (2026) · Physical Review A · doi:10.1103/j6x3-hh74
Quantum Simulation with Cold Atoms in the Optical Lattices.
Chan, Y. (2013) · Deep Blue (University of Michigan)
Circuit Approach for Simulation of EM-quantum Components
Kouzaev, G. A. (2012) · Lecture notes in electrical engineering · doi:10.1007/978-3-642-30310-4_9
Two-component nonlinear Schrodinger systems with trap potential function
Lin, T., & Wu, T. (2008)
Tuchendler, C. (2014) · theses.fr (ABES) · doi:10.70675/00fac495zabedz4aa2z9601zbc2e648a216e
Correlation spreading in quantum lattice models with variable-range interactions
Despres, J. (2019) · theses.fr (ABES) · doi:10.70675/ac65f975z8a16z44e8za734zb03d7d5364ad
Out-of-equilibrium dynamics and quench spectroscopy of ultracold many-body quantum systems
Villa, L. (2021) · theses.fr (ABES) · doi:10.70675/a34e166azf662z47b3z9372z2c0f861b719a
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Weill, R., Nemirovsky, J., & Sagi, Y. (2026) · Physical Review A · doi:10.1103/8jxf-7br1
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Qian, X., Qu, C., & Eberly, J. H. (2026) · Optics Express · doi:10.1364/oe.590184
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Metadata
- Authors
- Mandel, O., Greiner, M., Widera, A., Rom, T., Hänsch, T. W., & Bloch, I.
- Affiliations
- Ludwig-Maximilians-Universität München (DE)
- Max Planck Institute of Quantum Optics (DE)
- Corresponding author
- Bloch, Immanuel
- Venue
- Nature
- Published
- 2003-10
- Volume
- 425
- Issue
- 6961
- Pages
- 937-940
- ISSN
- 0028-0836 (ISSN-L)
- 1476-4687
- OpenAlex
- W2018098207
- Cited by
- 789
- References
- 28
- Citations by year
- 2026: 12 · 2025: 11 · 2024: 14 · 2023: 21 · 2022: 21 · 2021: 14 · 2020: 25 · 2019: 24 · 2018: 23 · 2017: 28 · 2016: 31 · 2015: 25 · 2014: 32 · 2013: 22 · 2012: 30
- FWCI
- 32.85
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Licence
- www.springer.com/tdm (tdm)
- Locations
- Nature (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- RePEc: Research Papers in Economics (submittedVersion)
- Max Planck Institute for Plasma Physics (submittedVersion)
- MPG.PuRe (Max Planck Society) (submittedVersion, other-oa)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Cold Atom Physics and Bose-Einstein Condensates
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Information and Cryptography
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum many-body systems
- Keywords
- multi-particle entanglement, optical lattices, optically trapped atoms, quantum gates, quantum many-body states, neutral atoms, phase shift, quantum information processing
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