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Cited by 124Quantum chaos and dynamical systemsQuantum many-body systemsSpectral Theory in Mathematical Physics

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Particle-time duality in the kicked Ising spin chain

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Akila, M, Waltner, D, Gutkin, B, Guhr, T·2016·Journal of Physics A: Mathematical and Theoretical
DOI 10.1088/1751-8113/49/37/375101
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Abstract

We demonstrate that the dynamics of kicked spin chains possess a remarkable duality property. The trace of the unitary evolution operator for N spins at time T is related to one of a non-unitary evolution operator for T spins at time N . We characterize this dual operator by its spectrum. Using the duality relation we obtain the oscillating part of the density of states for a large number of spins. Furthermore, the duality relation explains the anomalous short-time behavior of the spectral form factor previously observed in the literature.

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References 27 · Cited by 124

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Metadata

Authors
Akila, M., Waltner, D., Gutkin, B., & Guhr, T.
Affiliations
University of Duisburg-Essen (DE)
Venue
Journal of Physics A: Mathematical and Theoretical
Publisher
IOP Publishing
Published
2016-08-19
Volume
49
Issue
37
Pages
375101
ISSN
  • 1751-8113 (ISSN-L)
  • 1751-8121
DOI
10.1088/1751-8113/49/37/375101
OpenAlex
W2493448115
Cited by
124
References
27
Citations by year
2026: 10 · 2025: 17 · 2024: 24 · 2023: 12 · 2022: 17 · 2021: 23 · 2020: 10 · 2019: 3 · 2018: 3 · 2017: 4 · 2016: 1
FWCI
2.08
Type
journal article
Language
en
Open access
Licence
Locations
  • Journal of Physics A Mathematical and Theoretical (publishedVersion)
  • arXiv (Cornell University) (submittedVersion)
  • arXiv (Cornell University)
Topics
  • Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Quantum chaos and dynamical systems
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum many-body systems
  • Physical Sciences › Mathematics › Mathematical Physics › Spectral Theory in Mathematical Physics
Keywords
duality relations, unitary evolution operator, spectral form factor, density of states, short-time dynamics, quantum chaos, spin chain dynamics

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CoChat. (2026). Citation check: Particle-time duality in the kicked Ising spin chain. https://app.cochat.ai/papers/10.1088/1751-8113/49/37/375101
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Akila, M., Waltner, D., Gutkin, B., & Guhr, T. (2016). Particle-time duality in the kicked Ising spin chain. Journal of Physics A: Mathematical and Theoretical. https://doi.org/10.1088/1751-8113/49/37/375101