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Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
Open accessAbstract
For a system at a temperature of absolute zero, all thermal fluctuations are frozen out, while quantum fluctuations prevail. These microscopic quantum fluctuations can induce a macroscopic phase transition in the ground state of a many-body system when the relative strength of two competing energy terms is varied across a critical value. Here we observe such a quantum phase transition in a Bose-Einstein condensate with repulsive interactions, held in a three-dimensional optical lattice potential. As the potential depth of the lattice is increased, a transition is observed from a superfluid to a Mott insulator phase. In the superfluid phase, each atom is spread out over the entire lattice, with long-range phase coherence. But in the insulating phase, exact numbers of atoms are localized at individual lattice sites, with no phase coherence across the lattice; this phase is characterized by a gap in the excitation spectrum. We can induce reversible changes between the two ground states of the system.
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“Analogue quantum simulation with ultra-cold neutral atoms has been performed in research labs since many years and is being used for various applications ranging from statistical physics [78] and material science, such as the investigation of high-temperature superconductors [79][80][81][82][83][84], or simulation of spin systems [85][86][87][88][89] to high-energy physics and astrophysics [90][91”
From Neutral atom quantum computing hardware: performance and end-user perspective (2023) · cites this paper as [78]
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Cites
Theory of Bose-Einstein condensation in trapped gases
Dalfovo, F., Giorgini, S., Питаевский, Л. П., & Stringari, S. (1999) · Reviews of Modern Physics · doi:10.1103/revmodphys.71.463 · Cited by 5,773
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
Subir Sachdev, A. (2000) · Cambridge University Press eBooks · doi:10.1017/cbo9780511622540 · Cited by 3,675
Boson localization and the superfluid-insulator transition
Fisher, M. P. A., Weichman, P. B., Grinstein, G., & Fisher, D. S. (1989) · Physical Review B · doi:10.1103/physrevb.40.546 · Cited by 3,512
Observation of Feshbach resonances in a Bose–Einstein condensate
Inouye, S., Andrews, M. R., Stenger, J., Miesner, H. ‐., Stamper-Kurn, D., & Ketterle, W. (1998) · Nature · doi:10.1038/32354 · Cited by 2,094
Subir Sachdev, A. (2006) · Elsevier eBooks · doi:10.1016/b0-12-512666-2/00132-2 · Cited by 1,694
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
Squeezed States in a Bose-Einstein Condensate
Orzel, C., Tuchman, A. K., Fenselau, M. L., Yasuda, M., & Kasevich, M. A. (2001) · Science · doi:10.1126/science.1058149 · Cited by 848
Dynamics of collapsing and exploding Bose–Einstein condensates
Donley, E. A., Claussen, N. R., Cornish, S. L., Roberts, J., Cornell, E., & Wieman, C. (2001) · Nature · doi:10.1038/35085500 · Cited by 819
Onset of superconductivity in the two-dimensional limit
Haviland, D. B., Liu, Y., & Goldman, A. M. (1989) · Physical Review Letters · doi:10.1103/physrevlett.62.2180 · Cited by 798
Entanglement of Atoms via Cold Controlled Collisions
Jaksch, D., Briegel, H.-J., Cirac, J. I., Gardiner, C. W., & Zoller, P. (1999) · Physical Review Letters · doi:10.1103/physrevlett.82.1975 · Cited by 795 · cited 1×
“The Mott insulator phase also opens a new experimental avenue for recently proposed quantum gates with neutral atoms [26].”
Exploring Phase Coherence in a 2D Lattice of Bose-Einstein Condensates
Greiner, M., Bloch, I., Mandel, O., Hänsch, T. W., & Esslinger, T. (2001) · Physical Review Letters · doi:10.1103/physrevlett.87.160405 · Cited by 686
Self-citationQuantum phases in an optical lattice
van Oosten, D., van der Straten, P., & Stoof, H. T. C. (2001) · Physical Review A · doi:10.1103/physreva.63.053601 · Cited by 528
Superfluid and Insulating Phases in an Interacting-Boson Model: Mean-Field Theory and the RPA
Sheshadri, K., Krishnamurthy, H. R., Pandit, R. A., & Ramakrishnan, T. V. (1993) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/22/4/004 · Cited by 434
Adiabatic Cooling of Cesium to 700 nK in an Optical Lattice
Kastberg, A., Phillips, W. D., Rolston, S. L., Spreeuw, R. J. C., & Jessen, P. (1995) · Physical Review Letters · doi:10.1103/physrevlett.74.1542 · Cited by 260
Charging effects and quantum coherence in regular Josephson junction arrays
Geerligs, L. J., Peters, M., de Groot, L. E. M., Verbruggen, A. H., & Mooij, J. E. (1989) · Physical Review Letters · doi:10.1103/physrevlett.63.326 · Cited by 243
Global phase coherence in two-dimensional granular superconductors
Orr, B. G., Jaeger, H. M., Goldman, A. M., & Kuper, C. G. (1986) · Physical Review Letters · doi:10.1103/physrevlett.56.378 · Cited by 214
Phase diagram of the Bose-Hubbard Model
Freericks, J. K., & Monien, H. (1994) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/26/7/012 · Cited by 208
Quantum fluctuations in chains of Josephson junctions
Bradley, R. M., & Doniach, S. (1984) · Physical review. B, Condensed matter · doi:10.1103/physrevb.30.1138 · Cited by 206
Heisenberg-limited spectroscopy with degenerate Bose-Einstein gases
Bouyer, P., & Kasevich, M. A. (1997) · Physical Review A · doi:10.1103/physreva.56.r1083 · Cited by 199
Dynamics and thermodynamics of the Bose-Hubbard model
Elstner, N., & Monien, H. (1999) · Physical review. B, Condensed matter · doi:10.1103/physrevb.59.12184 · Cited by 197
Field-induced superconductor-to-insulator transitions in Josephson-junction arrays
van der Zant, H. S. J., Fritschy, F. C., Elion, W. J., Geerligs, L. J., & Mooij, J. E. (1992) · Physical Review Letters · doi:10.1103/physrevlett.69.2971 · Cited by 189
Magnetic transport of trapped cold atoms over a large distance
Greiner, M., Bloch, I., Hänsch, T. W., & Esslinger, T. (2001) · Physical Review A · doi:10.1103/physreva.63.031401 · Cited by 172
Self-citationLength-Scale Dependence of the Superconductor-to-Insulator Quantum Phase Transition in One Dimension
Chow, E. K. C., Delsing, P., & Haviland, D. B. (1998) · Physical Review Letters · doi:10.1103/physrevlett.81.204 · Cited by 160
Phase diagram of the bose Hubbard modelPreprint
Freericks, J. K., & Monien, H. (1993) · Cited by 108
One-Dimensional Mott Insulator Formed by Quantum Vortices in Josephson Junction Arrays
van Oudenaarden, A., & Mooij, J. E. (1996) · Physical Review Letters · doi:10.1103/physrevlett.76.4947 · Cited by 94
Global and Local Phase Coherence in Dissipative Josephson-Junction Arrays
Zwerger, W. (1989) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/9/5/003 · Cited by 33
Bose–Einstein condensation and superfluidity in trapped atomic gases
Stringari, S. (2001) · Comptes Rendus de l Académie des Sciences - Series IV - Physics-Astrophysics · doi:10.1016/s1296-2147(01)01178-7 · Cited by 8
Goljanizkij, I. A., & Brjuskova, K. A. (1936) · Cited by 5
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Many-body physics with ultracold gases
Bloch, I., Dalibard, J., & Zwerger, W. (2008) · Reviews of Modern Physics · doi:10.1103/revmodphys.80.885 · Cited by 8,114
Self-citationLadd, T. D., Jelezko, F., Laflamme, R., Nakamura, Y., Monroe, C., & O’Brien, J. L. (2010) · Nature · doi:10.1038/nature08812 · Cited by 3,592
The density-matrix renormalization group
Schollwöck, U. (2005) · Reviews of Modern Physics · doi:10.1103/revmodphys.77.259 · Cited by 3,323
Thermalization and its mechanism for generic isolated quantum systems
Rigol, M., Dunjko, V., & Olshanii, M. (2008) · Nature · doi:10.1038/nature06838 · Cited by 3,135
Science and technology roadmap for graphene, related two-dimensional crystals, and hybrid systems
Ferrari, A. C., Bonaccorso, F., Fal’ko, V. I., Novoselov, K. S., Roche, S., Bøggild, P., Borini, S., Koppens, F. H. L., Palermo, V., Pugno, N. M., et al. (2014) · Nanoscale · doi:10.1039/c4nr01600a · Cited by 3,065
Metadata
- Authors
- Greiner, M., Mandel, O., Esslinger, T., Hänsch, T. W., & Bloch, I.
- Affiliations
- Max Planck Institute of Quantum Optics (DE)
- ETH Zurich (CH)
- Corresponding author
- Bloch, Immanuel
- Venue
- Nature
- Published
- 2002-01
- Volume
- 415
- Issue
- 6867
- Pages
- 39-44
- ISSN
- 0028-0836 (ISSN-L)
- 1476-4687
- OpenAlex
- W2007391198
- Cited by
- 5,935
- References
- 29
- Citations by year
- 2026: 99 · 2025: 153 · 2024: 147 · 2023: 171 · 2022: 189 · 2021: 180 · 2020: 189 · 2019: 243 · 2018: 206 · 2017: 225 · 2016: 257 · 2015: 242 · 2014: 292 · 2013: 286 · 2012: 311
- FWCI
- 188.52
- 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)
- arXiv (Cornell University)
- APS Division of Atomic, Molecular and Optical Physics Meeting Abstracts
- 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 › Strong Light-Matter Interactions
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum, superfluid, helium dynamics
- Keywords
- quantum phase transitions, superfluid-Mott insulator transition, Bose-Einstein condensate, ultracold atoms, optical lattices, repulsive interactions, quantum fluctuations, phase coherence, excitation gap
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