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Semiclassical motion of a multiband Bloch particle in a time-dependent field: Optical visualization
Abstract
An optical visualization of the semiclassical dynamics of a multiband Bloch particle subjected to an external time-dependent force is experimentally reported using an array of tunneling-coupled lithium-niobate optical waveguides with a curved axis. It is shown that a Gaussian beam injected into the array breaks into wave packets belonging to different bands of the array which propagate as semiclassical Bloch particles in a time-dependent force simulated by the waveguide axis curvature. According to the semiclassical analysis and to numerical simulations of the scalar beam propagation equation, the paths followed by the wave packets is proven to depend on the initial momentum, which is controlled by varying the incidence angle of the Gaussian beam. In particular, we study in detail, both theoretically and experimentally, the wave packet refocusing dynamics which occurs in the presence of a semicycle sinusoidal force and reveal its deep difference with respect to Bloch oscillations in a dc field.
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A similar approach was used to simulate the evolution of a multiband Bloch particle in a time-dependent field, by shining an engineered waveguide array with classical coherent light.
“A similar approach was used to simulate the evolution of a multiband Bloch particle in a time-dependent field, by shining an engineered waveguide array with classical coherent light (37) [see also (38) for a review on discrete-waveguide lattice effects].”
From Quantum walks and wavepacket dynamics on a lattice with twisted photons (2015) · cites this paper as [37]
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Sorted by citations
Aspuru-Guzik, A., & Walther, P. (2012) · Nature Physics · doi:10.1038/nphys2253 · Cited by 952
Quantum-optical analogies using photonic structures
Longhi, S. (2009) · Laser & Photonics Reviews · doi:10.1002/lpor.200810055 · Cited by 718
Self-citationQuantum walks and wavepacket dynamics on a lattice with twisted photons
Cardano, F., Massa, F., Qassim, H., Karimi, E., Slussarenko, S., Paparo, D., de Lisio, C., Sciarrino, F., Santamato, E., Boyd, R. W., et al. (2015) · Science Advances · doi:10.1126/sciadv.1500087 · Cited by 207
Exact dynamic localization in curved AlGaAs optical waveguide arrays
Iyer, R., Stewart Aitchison, J., Wan, J., Dignam, M. M., & Martijn de Sterke, C. (2007) · Optics Express · doi:10.1364/oe.15.003212 · Cited by 115
Optical Bloch Oscillations and Zener Tunneling with Nonclassical Light
Longhi, S. (2008) · Physical Review Letters · doi:10.1103/physrevlett.101.193902 · Cited by 81
Self-citationClassical and quantum interference in multiband optical Bloch oscillations
Longhi, S. (2009) · Physical Review B · doi:10.1103/physrevb.79.245108 · Cited by 9
Self-citation
Metadata
- Authors
- Longhi, S., Lobino, M., Marangoni, M., Ramponi, R., Laporta, P., Cianci, E., & Foglietti, V.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 2006-10-18
- Volume
- 74
- Issue
- 15
- ISSN
- 1098-0121
- 1550-235X
- Cited by
- 24
- References
- 8
- Language
- en
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