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  Quantum Floquet engineering with an exactly solvable tight-binding chain in a cavity

Eckhardt, C., Passetti, G., Othman, M., Karrasch, C., Cavaliere, F., Sentef, M. A., et al. (2022). Quantum Floquet engineering with an exactly solvable tight-binding chain in a cavity. Communications Physics, 5: 122. doi:10.1038/s42005-022-00880-9.

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https://arxiv.org/abs/2107.12236 (Preprint)
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 Creators:
Eckhardt, C.1, 2, 3, Author              
Passetti, G.1, Author
Othman, M.4, Author
Karrasch, C.4, Author
Cavaliere, F.5, 6, Author
Sentef, M. A.2, 3, Author              
Kennes, D. M.1, 3, 7, Author              
Affiliations:
1Institut für Theorie der Statistischen Physik, RWTH Aachen University and JARA-Fundamentals of Future Information Technology, ou_persistent22              
2Theoretical Description of Pump-Probe Spectroscopies in Solids, Theory Department, Max Planck Institute for the Structure and Dynamics of Matter, Max Planck Society, ou_3012828              
3Center for Free-Electron Laser Science, ou_persistent22              
4Technische Universität Braunschweig, Institut für Mathematische Physik, ou_persistent22              
5Dipartimento di Fisica, Università di Genova, ou_persistent22              
6SPIN-CNR, ou_persistent22              
7Theory Group, Theory Department, Max Planck Institute for the Structure and Dynamics of Matter, Max Planck Society, ou_2266715              

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 Abstract: Recent experimental advances enable the manipulation of quantum matter by exploiting the quantum nature of light. However, paradigmatic exactly solvable models, such as the Dicke, Rabi or Jaynes-Cummings models for quantum-optical systems, are scarce in the corresponding solid-state, quantum materials context. Focusing on the long-wavelength limit for the light, here, we provide such an exactly solvable model given by a tight-binding chain coupled to a single cavity mode via a quantized version of the Peierls substitution. We show that perturbative expansions in the light-matter coupling have to be taken with care and can easily lead to a false superradiant phase. Furthermore, we provide an analytical expression for the groundstate in the thermodynamic limit, in which the cavity photons are squeezed by the light-matter coupling. In addition, we derive analytical expressions for the electronic single-particle spectral function and optical conductivity. We unveil quantum Floquet engineering signatures in these dynamical response functions, such as analogs to dynamical localization and replica side bands, complementing paradigmatic classical Floquet engineering results. Strikingly, the Drude weight in the optical conductivity of the electrons is partially suppressed by the presence of a single cavity mode through an induced electron-electron interaction.

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Language(s): eng - English
 Dates: 2021-07-262022-04-042022-05-19
 Publication Status: Published online
 Pages: -
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 Table of Contents: -
 Rev. Type: Peer
 Identifiers: arXiv: 2107.12236
DOI: 10.1038/s42005-022-00880-9
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Title: Communications Physics
Source Genre: Journal
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Publ. Info: London : Nature Publishing Group
Pages: - Volume / Issue: 5 Sequence Number: 122 Start / End Page: - Identifier: ISSN: 2399-3650
CoNE: https://pure.mpg.de/cone/journals/resource/2399-3650