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Cited by 299

The DOI matches its Crossref record; 22 of the 22 references it cites were found in a registry or an index.

A Rigorous Theory of Many-Body Prethermalization for Periodically Driven and Closed Quantum Systems

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Abanin, Dmitry, De Roeck, Wojciech, Ho, Wen Wei, Huveneers, François·2017·Communications in Mathematical Physics
DOI 10.1007/s00220-017-2930-x
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Abstract

Prethermalization refers to the transient phenomenon where a system thermalizes according to a Hamiltonian that is not the generator of its evolution. We provide here a rigorous framework for quantum spin systems where prethermalization is exhibited for very long times. First, we consider quantum spin systems under periodic driving at high frequency $${\nu}$$ν. We prove that up to a quasi-exponential time $${\tau_* \sim {\rm e}^{c \frac{\nu}{\log^3 \nu}}}$$τ∗∼ecνlog3ν, the system barely absorbs energy. Instead, there is an effective local Hamiltonian $${\widehat D}$$D^ that governs the time evolution up to $${\tau_*}$$τ∗, and hence this effective Hamiltonian is a conserved quantity up to $${\tau_*}$$τ∗. Next, we consider systems without driving, but with a separation of energy scales in the Hamiltonian. A prime example is the Fermi–Hubbard model where the interaction U is much larger than the hopping J. Also here we prove the emergence of an effective conserved quantity, different from the Hamiltonian, up to a time $${\tau_*}$$τ∗ that is (almost) exponential in $${U/J}$$U/J.

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Metadata

Authors
Abanin, D., De Roeck, W., Ho, W. W., & Huveneers, F.
Venue
Communications in Mathematical Physics
Publisher
Springer Science and Business Media LLC
Published
2017-06-27
Volume
354
Issue
3
Pages
809-827
ISSN
  • 0010-3616 (ISSN-L)
  • 1432-0916
DOI
10.1007/s00220-017-2930-x
OpenAlex
W2264365496
Cited by
299
References
22
FWCI
13.35
Type
journal article
Language
en
Open access
green

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CoChat. (2026). Citation check: A Rigorous Theory of Many-Body Prethermalization for Periodically Driven and Closed Quantum Systems. https://app.cochat.ai/papers/10.1007/s00220-017-2930-x
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Abanin, D., De Roeck, W., Ho, W. W., & Huveneers, F. (2017). A Rigorous Theory of Many-Body Prethermalization for Periodically Driven and Closed Quantum Systems. Communications in Mathematical Physics. https://doi.org/10.1007/s00220-017-2930-x

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Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.