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  Lieb’s Theorem and Maximum Entropy Condensates

Tindall, J., Schlawin, F., Sentef, M. A., & Jaksch, D. (2021). Lieb’s Theorem and Maximum Entropy Condensates. Quantum, 5, 610. doi:10.22331/q-2021-12-23-610.

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https://arxiv.org/abs/2103.04687 (Preprint)
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https://doi.org/10.22331/q-2021-12-23-610 (Publisher version)
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 Creators:
Tindall, J.1, Author
Schlawin, F.2, 3, Author              
Sentef, M. A.4, Author              
Jaksch, D.1, 3, 5, Author
Affiliations:
1Clarendon Laboratory, University of Oxford, ou_persistent22              
2Condensed Matter Dynamics Department, Max Planck Institute for the Structure and Dynamics of Matter, Max Planck Society, ou_1938285              
3The Hamburg Centre for Ultrafast Imaging, ou_persistent22              
4Theoretical Description of Pump-Probe Spectroscopies in Solids, Theory Department, Max Planck Institute for the Structure and Dynamics of Matter, Max Planck Society, ou_3012828              
5Institut für Laserphysik, Universität Hamburg, ou_persistent22              

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 Abstract: Coherent driving has established itself as a powerful tool for guiding a many-body quantum system into a desirable, coherent non-equilibrium state. A thermodynamically large system will, however, almost always saturate to a featureless infinite temperature state under continuous driving and so the optical manipulation of many-body systems is considered feasible only if a transient, prethermal regime exists, where heating is suppressed. Here we show that, counterintuitively, in a broad class of lattices Floquet heating can actually be an advantageous effect. Specifically, we prove that the maximum entropy steady states which form upon driving the ground state of the Hubbard model on unbalanced bi-partite lattices possess uniform off-diagonal long-range order which remains finite even in the thermodynamic limit. This creation of a `hot' condensate can occur on any driven unbalanced lattice and provides an understanding of how heating can, at the macroscopic level, expose and alter the order in a quantum system. We discuss implications for recent experiments observing emergent superconductivity in photoexcited materials.

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Language(s): eng - English
 Dates: 2021-12-232021-12-23
 Publication Status: Published in print
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 Rev. Type: Peer
 Identifiers: arXiv: 2103.04687
DOI: 10.22331/q-2021-12-23-610
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Project name : -
Grant ID : 319286
Funding program : Funding Programme 7 (FP7)
Funding organization : European Commission (EC)
Project name : F. S. acknowledges support from the Cluster of Excellence ‘Advanced Imaging of Mat- ter’ of the Deutsche Forschungsgemeinschaft (DFG) - EXC 2056 - project ID 390715994.
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Title: Quantum
Source Genre: Journal
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Publ. Info: Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften
Pages: - Volume / Issue: 5 Sequence Number: - Start / End Page: 610 Identifier: ISSN: 2521-327X
Other: https://doi.org/10.22331/q
CoNE: https://pure.mpg.de/cone/journals/resource/2521-327X