Spectral softening in driven quadratic systems causes the partition function to diverge and adiabaticity to fail below a finite drive-dependent frequency threshold, rendering equilibrium ill-defined.
This structural change has direct consequences for the canonical partition function, as discussed below
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Spectral Softening and the Structural Breakdown of Thermodynamic Equilibrium
Spectral softening in driven quadratic systems causes the partition function to diverge and adiabaticity to fail below a finite drive-dependent frequency threshold, rendering equilibrium ill-defined.