Titlebook: Collapse of Metastability; Dynamics of First-Or Seiji Miyashita Book 2022 The Editor(s) (if applicable) and The Author(s), under exclusive

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Structure of Eigenvalues for the First-Order Phase Transitiont of the eigenvalue problem. We study eigenvalues of the transfer matrix for thermodynamic properties, and those of the time-evolution operator of the master equation for dynamical properties. In particular, we discuss how the metastable state is characterized by the eigenvalue structure as a functi

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Collapse of Metastability by the Quantum Fluctuationtum systems, which we name ‘metastable branch’. We also study real-time relaxation processes in the pure quantum dynamics and also dynamics with effects from environments. We also study first-order phase transitions in dynamical process, e.g., the transmission of light through a cavity.

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