Universal scaling of finite-temperature quantum adiabaticity in driven many-body systems

• URL: http://arxiv.org/abs/2602.01943v1
• Date: Mon, 02 Feb 2026 10:45:42 GMT
• Title: Universal scaling of finite-temperature quantum adiabaticity in driven many-body systems
• Authors: Li-Ying Chou, Jyong-Hao Chen,
• Abstract summary: We develop criteria for finite-temperature adiabaticity in closed many-body systems.<n>We derive rigorous bounds on the Hilbert-Schmidt fidelity between mixed states by combining a mixed-state quantum speed limit with mixed-state fidelity susceptibility.<n>Our results provide practical and largely model-independent criteria for finite-temperature adiabaticity in closed many-body systems.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Establishing quantitative adiabaticity criteria at finite temperature remains substantially less developed than in the pure-state setting, despite the fact that realistic quantum systems are never at absolute zero. Here we derive rigorous bounds on the Hilbert-Schmidt fidelity between mixed states by combining a mixed-state quantum speed limit with mixed-state fidelity susceptibility within the Liouville space formulation of quantum mechanics. Applied to protocols that drive an initial Gibbs state toward a quasi-Gibbs target, these bounds yield an explicit threshold driving rate for the onset of nonadiabaticity. For a broad class of local Hamiltonians in gapped phases, we show that, in the thermodynamic limit, the threshold factorizes into two factors: a system-size contribution that recovers the zero-temperature scaling and a universal temperature-dependent factor. The latter is exponentially close to unity at low temperature, whereas at high temperature it increases linearly with temperature. We verify the predicted scaling in several spin-1/2 chains by obtaining closed-form expressions for the threshold driving rate. Our results provide practical and largely model-independent criteria for finite-temperature adiabaticity in closed many-body systems.

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