Universal long-time behavior of the quantum Fisher information in dynamical quantum phase transitions

J. Mumford; R. J. Lewis-Swan

doi:10.1103/t3ty-jrnk

Universal long-time behavior of the quantum Fisher information in dynamical quantum phase transitions

J. Mumford ^1,2,3 and R. J. Lewis-Swan ^1,2

¹Homer L. Dodge Department of Physics and Astronomy, The University of Oklahoma, Norman, Oklahoma 73019, USA
²Center for Quantum Research and Technology, The University of Oklahoma, Norman, Oklahoma 73019, USA
³Department of Physics and Astronomy, University of Victoria, Victoria, British Columbia V8P 5C2, Canada

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Phys. Rev. A 113, 033302 – Published 2 March, 2026

DOI: https://doi.org/10.1103/t3ty-jrnk

Abstract

We investigate dynamical quantum phase transitions (DQPTs) in quantum systems that possess well-defined classical limits, focusing on the spinor Bose-Einstein condensate and the Lipkin-Meshkov-Glick model. We diagnose the DQPTs with the long-time average of the quantum Fisher information (QFI), showing that it abruptly changes at the transition point. Using mean-field and semiclassical approximations, we demonstrate that the long-time average of the QFI reveals universal behavior that persists across different systems.

Physical Review A

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Universal long-time behavior of the quantum Fisher information in dynamical quantum phase transitions

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Universal long-time behavior of the quantum Fisher information in dynamical quantum phase transitions

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