Prethermalization for deformed Wigner matrices
Erdös L, Henheik SJ, Reker J, Riabov V. 2024. Prethermalization for deformed Wigner matrices. Annales Henri Poincare.
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Abstract
We prove that a class of weakly perturbed Hamiltonians of the form H_λ= H_0 + λW, with W being a Wigner matrix, exhibits prethermalization. That is, the time evolution generated by H_λ relaxes to its ultimate thermal state via an intermediate prethermal state with a lifetime of order λ^{-2}. Moreover, we obtain a general relaxation formula, expressing the perturbed dynamics via the unperturbed dynamics and the ultimate thermal state. The proof relies on a two-resolvent law for the deformed Wigner matrix H_λ.
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Date Published
2024-12-17
Journal Title
Annales Henri Poincare
Publisher
Springer Nature
Acknowledgement
We thank Peter Reimann and Lennart Dabelow for helpful comments. Open access funding provided by Institute of Science and Technology (IST Austria).
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IST-REx-ID
Cite this
Erdös L, Henheik SJ, Reker J, Riabov V. Prethermalization for deformed Wigner matrices. Annales Henri Poincare. 2024. doi:10.1007/s00023-024-01518-y
Erdös, L., Henheik, S. J., Reker, J., & Riabov, V. (2024). Prethermalization for deformed Wigner matrices. Annales Henri Poincare. Springer Nature. https://doi.org/10.1007/s00023-024-01518-y
Erdös, László, Sven Joscha Henheik, Jana Reker, and Volodymyr Riabov. “Prethermalization for Deformed Wigner Matrices.” Annales Henri Poincare. Springer Nature, 2024. https://doi.org/10.1007/s00023-024-01518-y.
L. Erdös, S. J. Henheik, J. Reker, and V. Riabov, “Prethermalization for deformed Wigner matrices,” Annales Henri Poincare. Springer Nature, 2024.
Erdös L, Henheik SJ, Reker J, Riabov V. 2024. Prethermalization for deformed Wigner matrices. Annales Henri Poincare.
Erdös, László, et al. “Prethermalization for Deformed Wigner Matrices.” Annales Henri Poincare, Springer Nature, 2024, doi:10.1007/s00023-024-01518-y.
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