The DOI matches its Crossref record; 9 of the 9 references it cites were found in a registry or an index.
Fractional quantum Hall effect in optical lattices
Open accessAbstract
We analyze a recently proposed method to create fractional quantum Hall (FQH) states of atoms confined in optical lattices [A. S\o{}rensen et al., Phys. Rev. Lett. 94, 086803 (2005)]. Extending the previous work, we investigate conditions under which the FQH effect can be achieved for bosons on a lattice with an effective magnetic field and finite on-site interaction. Furthermore, we characterize the ground state in such systems by calculating Chern numbers which can provide direct signatures of topological order and explore regimes where the characterization in terms of wave-function overlap fails. We also discuss various issues which are relevant for the practical realization of such FQH states with ultracold atoms in an optical lattice, including the presence of a long-range dipole interaction which can improve the energy gap and stabilize the ground state. We also investigate a detection technique based on Bragg spectroscopy to probe these systems in an experimental realization.
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Cites
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Anomalous Quantum Hall Effect: An Incompressible Quantum Fluid with Fractionally Charged Excitations
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Spatial quantum noise interferometry in expanding ultracold atom clouds
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Cited by
Carusotto, I., & Ciuti, C. (2013) · Reviews of Modern Physics · doi:10.1103/revmodphys.85.299 · Cited by 1,996
Light-induced gauge fields for ultracold atoms
Goldman, N., Juzeliūnas, G., Öhberg, P., & Spielman, I. B. (2014) · Reports on Progress in Physics · doi:10.1088/0034-4885/77/12/126401 · Cited by 1,212
Realizing the Harper Hamiltonian with Laser-Assisted Tunneling in Optical Lattices
Miyake, H., Siviloglou, G. A., Kennedy, C. J., Burton, W. C., & Ketterle, W. (2013) · Physical Review Letters · doi:10.1103/physrevlett.111.185302 · Cited by 1,041
Topological bands for ultracold atoms
Cooper, N. R., Dalibard, J., & Spielman, I. B. (2019) · Reviews of Modern Physics · doi:10.1103/revmodphys.91.015005 · Cited by 940
Experimental Realization of Strong Effective Magnetic Fields in an Optical Lattice
Aidelsburger, M., Atala, M., Nascimbène, S., Trotzky, S., Chen, Y.-A., & Bloch, I. (2011) · Physical Review Letters · doi:10.1103/physrevlett.107.255301 · Cited by 775
Metadata
- Authors
- Hafezi, M., Sørensen, A. S., Demler, E., & Lukin, M. D.
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2007-08-28
- Volume
- 76
- Issue
- 2
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W1981113504
- Cited by
- 278
- References
- 9
- FWCI
- 5.09
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Hafezi, M., Sørensen, A. S., Demler, E., & Lukin, M. D. (2007). Fractional quantum Hall effect in optical lattices. Physical Review A. https://doi.org/10.1103/physreva.76.023613
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