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Bloch-like energy oscillations
Stockholm University, Faculty of Science, Department of Physics.
Stockholm University, Faculty of Science, Department of Physics.
Number of Authors: 22018 (English)In: Physical Review A: covering atomic, molecular, and optical physics and quantum information, ISSN 2469-9926, E-ISSN 2469-9934, Vol. 98, no 5, article id 053820Article in journal (Refereed) Published
Abstract [en]

We identify a type of periodic evolution that appears in driven quantum systems. Provided that the instantaneous (adiabatic) energies are equidistant we show how such systems can be mapped to (time-dependent) tilted single-band lattice models. Having established this mapping, the dynamics can be understood in terms of Bloch oscillations in the instantaneous energy basis. In our lattice model the site-localized states are the adiabatic ones, and the Bloch oscillations manifest as a periodic repopulation among these states, or equivalently a periodic change in the system's instantaneous energy. Our predictions are confirmed by considering two different models: a driven harmonic oscillator and a Landau-Zener grid model. To strengthen the link between our energy Bloch oscillations and the original spatial Bloch oscillations we add a random disorder that breaks the translational invariance of the spectrum. This verifies that the oscillating evolution breaks down and instead turns into a diffusive spreading. Finally, we consider a trapped ion setup and demonstrate how the mechanism can be utilized to prepare motional cat state of the ion.

Place, publisher, year, edition, pages
2018. Vol. 98, no 5, article id 053820
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:su:diva-162796DOI: 10.1103/PhysRevA.98.053820ISI: 000450138600010OAI: oai:DiVA.org:su-162796DiVA, id: diva2:1274031
Available from: 2018-12-27 Created: 2018-12-27 Last updated: 2018-12-27Bibliographically approved

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