Synthesizing arbitrary dispersion relations in a modulated tilted optical lattice Article Swipe
Jean Claude Garreau
,
Véronique Zehnlé
·
YOU?
·
· 2021
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2107.11268
YOU?
·
· 2021
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2107.11268
Dispersion relations are fundamental characteristics of the dynamics of quantum and wave systems. In this work we introduce a simple technique to generate arbitrary dispersion relations in a modulated tilted lattice. The technique is illustrated by important examples: the Dirac, Bogoliubov and Landau dispersion relations (the latter exhibiting the roton and the maxon). We show that adding a slow chirp to the lattice modulation allows one to reconstruct the dispersion relation from dynamical quantities. Finally, we generalize the technique to higher dimensions, and generate graphene-like Dirac points and flat bands in two dimensions.
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Metadata
- Type
- preprint
- Language
- en
- Landing Page
- http://arxiv.org/abs/2107.11268
- https://arxiv.org/pdf/2107.11268
- OA Status
- green
- References
- 35
- Related Works
- 20
- OpenAlex ID
- https://openalex.org/W3183551682
All OpenAlex metadata
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https://openalex.org/W3183551682Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.48550/arxiv.2107.11268Digital Object Identifier
- Title
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Synthesizing arbitrary dispersion relations in a modulated tilted optical latticeWork title
- Type
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preprintOpenAlex work type
- Language
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enPrimary language
- Publication year
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2021Year of publication
- Publication date
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2021-07-23Full publication date if available
- Authors
-
Jean Claude Garreau, Véronique ZehnléList of authors in order
- Landing page
-
https://arxiv.org/abs/2107.11268Publisher landing page
- PDF URL
-
https://arxiv.org/pdf/2107.11268Direct link to full text PDF
- Open access
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YesWhether a free full text is available
- OA status
-
greenOpen access status per OpenAlex
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https://arxiv.org/pdf/2107.11268Direct OA link when available
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Dispersion relation, Physics, Lattice (music), Quantum mechanics, Roton, Dispersion (optics), Optical lattice, Quantum, Chirp, Statistical physics, Laser, Acoustics, Superfluidity, Helium, Superfluid helium-4Top concepts (fields/topics) attached by OpenAlex
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0Total citation count in OpenAlex
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35Number of works referenced by this work
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20Other works algorithmically related by OpenAlex
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