Probing the many-body localized spin-glass phase through quench dynamics

Brighi P, Ljubotina M, Serbyn M. 2025. Probing the many-body localized spin-glass phase through quench dynamics. Physical Review B. 111(22), L220202.

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Abstract
Eigenstates of quantum many-body systems are often used to define phases of matter in and out of equilibrium; however, experimentally accessing highly excited eigenstates is a challenging task, calling for alternative strategies to dynamically probe nonequilibrium phases. In this work, we characterize the dynamical properties of a disordered spin chain, focusing on the spin-glass regime. Using tensor-network simulations, we observe oscillatory behavior of local expectation values and bipartite entanglement entropy. We explain these oscillations deep in the many-body localized spin-glass regime via a simple theoretical model. From perturbation theory, we predict the timescales up to which our analytical description is valid and confirm it with numerical simulations. Finally, we study the correlation length dynamics, which, after a long-time plateau, resume growing in line with renormalization group (RG) expectations. Our work suggests that RG predictions can be quantitatively tested against numerical simulations and experiments, potentially enabling microscopic descriptions of dynamical phases in large systems.
Publishing Year
Date Published
2025-06-12
Journal Title
Physical Review B
Publisher
American Physical Society
Acknowledgement
We thank D. A. Abanin for insightful discussions in the early stages of this work. P.B. acknowledges support by the Austrian Science Fund (FWF) [Grant Agreement No. 10.55776/ESP9057324]. This research was funded in whole or in part by the Austrian Science Fund (FWF) [10.55776/COE1]. The authors acknowledge support by the European Research Council (ERC) under the European Union's Horizon 2020 research and innovation program (Grant Agreement No. 850899). M.L. acknowledges support by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany's Excellence Strategy–EXC-2111–390814868. The authors acknowledge PRACE for awarding access to Joliot-Curie at GENCI@CEA, France, where the TEBD simulations were performed. The TEBD simulations were performed using the ITensor library [52].
Volume
111
Issue
22
Article Number
L220202
ISSN
eISSN
IST-REx-ID

Cite this

Brighi P, Ljubotina M, Serbyn M. Probing the many-body localized spin-glass phase through quench dynamics. Physical Review B. 2025;111(22). doi:10.1103/9fms-ygfz
Brighi, P., Ljubotina, M., & Serbyn, M. (2025). Probing the many-body localized spin-glass phase through quench dynamics. Physical Review B. American Physical Society. https://doi.org/10.1103/9fms-ygfz
Brighi, Pietro, Marko Ljubotina, and Maksym Serbyn. “Probing the Many-Body Localized Spin-Glass Phase through Quench Dynamics.” Physical Review B. American Physical Society, 2025. https://doi.org/10.1103/9fms-ygfz.
P. Brighi, M. Ljubotina, and M. Serbyn, “Probing the many-body localized spin-glass phase through quench dynamics,” Physical Review B, vol. 111, no. 22. American Physical Society, 2025.
Brighi P, Ljubotina M, Serbyn M. 2025. Probing the many-body localized spin-glass phase through quench dynamics. Physical Review B. 111(22), L220202.
Brighi, Pietro, et al. “Probing the Many-Body Localized Spin-Glass Phase through Quench Dynamics.” Physical Review B, vol. 111, no. 22, L220202, American Physical Society, 2025, doi:10.1103/9fms-ygfz.
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2025-06-23
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