Turning Down the Noise: Power-Law Decay and Temporal Phase Transitions

• URL: http://arxiv.org/abs/2510.04267v2
• Date: Fri, 10 Oct 2025 10:43:01 GMT
• Title: Turning Down the Noise: Power-Law Decay and Temporal Phase Transitions
• Authors: Lieuwe Bakker, Suvendu Barik, Vladimir Gritsev, Emil A. Yuzbashyan,
• Abstract summary: We determine the late-time dynamics of a generic spin ensemble with inhomogeneous broadening.<n>The approach to the steady state follows a power law, reflecting the interplay between Hamiltonian dynamics and vanishing dissipation.<n>Our exact solution anchors a cusp class of open quantum systems with explicitly time-dependent dissipation.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We determine the late-time dynamics of a generic spin ensemble with inhomogeneous broadening - equivalently, qubits with arbitrary Zeeman splittings - coupled to a dissipative environment with strength decreasing as $1/t$. The approach to the steady state follows a power law, reflecting the interplay between Hamiltonian dynamics and vanishing dissipation. The decay exponents vary non-analytically with the ramp rate, exhibiting a cusp singularity, and $n$-point correlation functions factorize into one- and two-point contributions. Our exact solution anchors a universality class of open quantum systems with explicitly time-dependent dissipation.

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