Quasirelativistic behavior of cold atoms in light fields
Open accessAbstract
We study the influence of three laser beams on the center-of-mass motion of cold atoms with internal energy levels in a tripod configuration. We show that, as for electrons in graphene, the atomic motion can be equivalent to the dynamics of ultrarelativistic two-component Dirac fermions. We propose and analyze an experimental setup for observing such a quasirelativistic motion of ultracold atoms. We demonstrate that the atoms can experience negative refraction and focusing by Veselago-type lenses. We also show how the chiral nature of the atomic motion manifests itself as an oscillation of the atomic internal state population, which depends strongly on the direction of the center-of-mass motion. For certain directions an atom remains in its initial state, whereas for other directions the populations undergo oscillations between a pair of internal states.
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In the low-momentum and strong-gauge-field regime, atoms with two internal states under an off-diagonal matrix gauge potential are well described by a Dirac-type equation.
“In the limit of low momenta and strong gauge fields the dynamics is well described by a Dirac-type equation.”
From Atomic Zitterbewegung (2008) · cites this paper as [2]
Unlike earlier work, the Dirac Hamiltonian for the atomic system contains a term that acts as an effective rest mass.
“Different to previous work [2] the Dirac Hamiltonian H DA now contains a term which corresponds to an effective rest mass.”
From Atomic Zitterbewegung (2008) · cites this paper as [2]
The Schrödinger-to-Dirac limit is justified by considering wave packets of increasing width.
“The transition from the Schrödinger to the Dirac limit, in eq. ( 13), is most clearly justified by considering a wave packet with increasing width as shown in fig. 2 [2].”
From Atomic Zitterbewegung (2008) · cites this paper as [2]
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Cites
Two-dimensional gas of massless Dirac fermions in graphene
Novoselov, K. S., Geim, A. K., Morozov, S. V., Jiang, D., Katsnelson, M. I., Grigorieva, I. V., Dubonos, S. V., & Firsov, A. A. (2005) · Nature · doi:10.1038/nature04233 · Cited by 21,611 · see citing works
Chiral tunnelling and the Klein paradox in graphene
Katsnelson, M. I., Novoselov, K. S., & Geim, A. K. (2006) · Nature Physics · doi:10.1038/nphys384 · Cited by 3,896 · see citing works
Cold Atoms in Non-Abelian Gauge Potentials: From the Hofstadter "Moth" to Lattice Gauge Theory
Osterloh, K., Baig, M., Santos, L., Zoller, P., & Lewenstein, M. (2005) · Physical Review Letters · doi:10.1103/physrevlett.95.010403 · Cited by 428 · see citing works
Self-citationA Modern Introduction to Quantum Field Theory
Maggiore, M. (2004) · doi:10.1093/oso/9780198520733.001.0001 · Cited by 289 · see citing works
Flagged first, then by citations
Research works printed but not linked: 2
- [10]V. V. Beresteckii, E. M. Lifshitz and L. P. Pitaevskii, Quantum Electrodynamics (Oxford, Butterworth Heinemann, 1982).
- [15]M. V. Berry, Proc. R. Soc. A 392 , 45 (1984).
Cited by
Sorted by citations
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 · see citing works
Self-citationObserving <i>Zitterbewegung</i> with Ultracold Atoms
Vaishnav, J., & Clark, C. (2008) · Physical Review Letters · doi:10.1103/physrevlett.100.153002 · Cited by 210 · see citing works
Non-Abelian Optical Lattices: Anomalous Quantum Hall Effect and Dirac Fermions
Goldman, N., Kubasiak, A., Bermudez, A., Gaspard, P., Lewenstein, M., & Martin-Delgado, M. A. (2009) · Physical Review Letters · doi:10.1103/physrevlett.103.035301 · Cited by 194 · see citing works
Classical simulation of relativistic quantum mechanics in periodic optical structures
Longhi, S. (2011) · Applied Physics B · doi:10.1007/s00340-011-4628-7 · Cited by 72 · see citing works
Driven Dirac-like equation via mirror oscillation: Controlled cold-atom Zitterbewegung
Zhang, Q., Gong, J., & Oh, C. H. (2010) · Physical Review A · doi:10.1103/physreva.81.023608 · Cited by 27 · see citing works
- Authors
- Juzeliūnas, G., Ruseckas, J., Lindberg, M., Santos, L., & Öhberg, P.
- Affiliations
- Vilnius University (LT)
- Åbo Akademi University (FI)
- Leibniz University Hannover (DE)
- Heriot-Watt University (GB)
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2008-01-29
- Volume
- 77
- Issue
- 1
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W1980138601
- Cited by
- 110
- References
- 4
- Citations by year
- 2024: 1 · 2023: 2 · 2022: 2 · 2021: 5 · 2020: 2 · 2019: 3 · 2018: 2 · 2017: 7 · 2016: 15 · 2015: 8 · 2014: 7 · 2013: 13 · 2012: 7
- FWCI
- 6.95
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review A (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Funders
- Deutsche Forschungsgemeinschaft
- Engineering and Physical Sciences Research Council
- 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 optics and atomic interactions
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Electrodynamics and Casimir Effect
- Keywords
- cold atoms, tripod configuration, Dirac fermions, ultracold atoms, negative refraction, center-of-mass motion, three-beam interference
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