Cited by 269

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Microscopy of the interacting Harper–Hofstadter model in the two-body limit

Tai, M. Eric, Lukin, Alexander, Rispoli, Matthew, Schittko, Robert, Menke, Tim, Dan Borgnia, Preiss, Philipp M., Grusdt, Fabian, Kaufman, Adam M., Greiner, Markus·2017·Nature

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Crossref · 10.1038/nature22811

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  • Cold-atom realizations of the Harper-Hofstadter model, using resonant moving optical potentials, were reported by Aidelsburger et al. (2013, 2015), Miyake et al. (2013), and Tai et al. (2017).

    “Cold-atom realizations of the Harper-Hofstadter model, using resonant moving optical potentials, were reported by Aidelsburger et al. (2013Aidelsburger et al. ( , 2015)), Miyake et al. (2013), and Tai et al. (2017).”

    From Topological photonics (2019) · cites this paper as Tai et al. (2017)

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Citations

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Research works printed but not linked: 26

  1. Chen, X., Gu, Z.-C. & Wen, X.-G. Local unitary transformation, long-range quantum entanglement, wave function renormalization, and topological order. Phys. Rev. B 82, 155138 (2010) · DOI · Paper page
  2. Tsui, D. C., Stormer, H. L. & Gossard, A. C. Two-dimensional magnetotransport in the extreme quantum limit. Phys. Rev. Lett. 48, 1559–1562 (1982) · DOI · Paper page
  3. Schweikhard, V., Coddington, I., Engels, P., Mogendorff, V. P. & Cornell, E. A. Rapidly rotating Bose-Einstein condensates in and near the lowest Landau level. Phys. Rev. Lett. 92, 040404 (2004) · DOI
  4. Lignier, H. et al. Dynamical control of matter-wave tunneling in periodic potentials. Phys. Rev. Lett. 99, 220403 (2007) · DOI · Paper page
  5. Kolovsky, A. R. Creating artificial magnetic fields for cold atoms by photon-assisted tunneling. Europhys. Lett. 93, 20003 (2011) · DOI · Paper page
  6. An, F. A., Meier, E. J. & Gadway, B. Direct observation of chiral currents and magnetic reflection in atomic flux lattices. Sci. Adv. 3, e1602685 (2017) · DOI
  7. Kolkowitz, S. et al. Spin–orbit-coupled fermions in an optical lattice clock. Nature 542, 66–70 (2017) · DOI
  8. Hafezi, M., Sørensen, A. S., Demler, E. & Lukin, M. D. Fractional quantum Hall effect in optical lattices. Phys. Rev. A 76, 023613 (2007) · DOI
  9. Gemelke, N., Sarajlic, E. & Chu, S. Rotating few-body atomic systems in the fractional quantum Hall regime. Preprint at https://arxiv.org/abs/1007.2677 (2010) · arXiv
  10. Jotzu, G. et al. Experimental realization of the topological Haldane model with ultracold fermions. Nature 515, 237–240 (2014) · DOI · Paper page
  11. Stuhl, B. K., Lu, H.-I., Aycock, L. M., Genkina, D. & Spielman, I. B. Visualizing edge states with an atomic Bose gas in the quantum Hall regime. Science 349, 1514–1518 (2015) · DOI
  12. Mancini, M. et al. Observation of chiral edge states with neutral fermions in synthetic Hall ribbons. Science 349, 1510–1513 (2015) · DOI
  13. Aidelsburger, M. et al. Realization of the Hofstadter Hamiltonian with ultracold atoms in optical lattices. Phys. Rev. Lett. 111, 185301 (2013) · DOI
  14. Miyake, H., Siviloglou, G. A., Kennedy, C. J., Burton, W. C. & Ketterle, W. Realizing the Harper Hamiltonian with laser-assisted tunneling in optical lattices. Phys. Rev. Lett. 111, 185302 (2013) · DOI · Paper page
  15. Harper, P. G. Single band motion of conduction electrons in a uniform magnetic field. Proc. Phys. Soc. A 68, 874–878 (1955) · DOI · Paper page
  16. Hafezi, M., Mittal, S., Fan, J., Migdall, A. & Taylor, J. M. Imaging topological edge states in silicon photonics. Nat. Photon. 7, 1001–1005 (2013) · DOI · Paper page
  17. Leder, M. et al. Real-space imaging of a topologically protected edge state with ultracold atoms in an amplitude-chirped optical lattice. Nat. Commun. 7, 13112 (2016) · DOI
  18. Celi, A. et al. Synthetic gauge fields in synthetic dimensions. Phys. Rev. Lett. 112, 043001 (2014) · DOI
  19. Hügel, D. & Paredes, B. Chiral ladders and the edges of quantum Hall insulators. Phys. Rev. A 89, 023619 (2014) · DOI
  20. Bakr, W. S., Gillen, J. I., Peng, A., Fölling, S. & Greiner, M. A quantum gas microscope for detecting single atoms in a Hubbard-regime optical lattice. Nature 462, 74–77 (2009) · DOI
  21. Sherson, J. F. et al. Single-atom-resolved fluorescence imaging of an atomic Mott insulator. Nature 467, 68–72 (2010) · DOI
  22. Dhar, A. et al. Bose-Hubbard model in a strong effective magnetic field: emergence of a chiral Mott insulator ground state. Phys. Rev. A 85, 041602 (2012) · DOI
  23. Roushan, P. et al. Chiral ground-state currents of interacting photons in a synthetic magnetic field. Nat. Phys. 13, 146–151 (2017) · DOI
  24. Zupancic, P. et al. Ultra-precise holographic beam shaping for microscopic quantum control. Opt. Express 24, 13881–13893 (2016) · DOI
  25. Preiss, P. M. et al. Strongly correlated quantum walks in optical lattices. Science 347, 1229–1233 (2015) · DOI
  26. He, Y.-C., Grusdt, F., Kaufman, A., Greiner, M. & Vishwanath, A. Realizing and Adiabatically Preparing Bosonic Integer and Fractional Quantum Hall states in Optical Lattices. Preprint at https://arxiv.org/abs/1703.00430 (2017) · DOI

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Metadata

Authors
Tai, M. E., Lukin, A., Rispoli, M., Schittko, R., Menke, T., Borgnia, D., Preiss, P. M., Grusdt, F., Kaufman, A. M., & Greiner, M.
Venue
Nature
Published
2017-06-21
Volume
546
Issue
7659
Pages
519-523
ISSN
  • 0028-0836
  • 1476-4687
Cited by
269
References
3
Language
en

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