Nonlinear quantum Kibble-Zurek ramps in open systems at finite temperature

• URL: http://arxiv.org/abs/2601.10465v2
• Date: Mon, 19 Jan 2026 10:39:24 GMT
• Title: Nonlinear quantum Kibble-Zurek ramps in open systems at finite temperature
• Authors: Johannes N. Kriel, Emma C. King, Michael Kastner,
• Abstract summary: We analyze quantum systems under a broad class of protocols in which the temperature and a Hamiltonian control parameter are ramped simultaneously and, in general, in a nonlinear fashion toward a quantum critical point.<n>We show that, unlike finite-temperature protocols at fixed temperature, these protocols allow us to probe, in an out-of-equilibrium situation and at finite temperature.<n>Key to this is the identification of ramps in which both coherent excitation incoherent parts of the open-system dynamics affect the density in a non-negligible way.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We analyze quantum systems under a broad class of protocols in which the temperature and a Hamiltonian control parameter are ramped simultaneously and, in general, in a nonlinear fashion toward a quantum critical point. Using an open-system version of a Kitaev quantum wire as an example, we show that, unlike finite-temperature protocols at fixed temperature, these protocols allow us to probe, in an out-of-equilibrium situation and at finite temperature, the universality class (characterized by the critical exponents $ν$ and $z$) of an equilibrium quantum phase transition at zero temperature. Key to this is the identification of ramps in which both coherent and incoherent parts of the open-system dynamics affect the excitation density in a non-negligible way. We also identify the specific ramps for which subleading corrections to the asymptotic scaling laws are suppressed, which serves as a guide to dynamically probing quantum critical exponents in experimentally realistic finite-temperature situations.

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