Nonlinear quantum Kibble-Zurek ramps in open systems at finite temperature
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866908774088835072 |
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| author | Kriel, Johannes N. King, Emma C. Kastner, Michael |
| author_facet | Kriel, Johannes N. King, Emma C. Kastner, Michael |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_10465 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Nonlinear quantum Kibble-Zurek ramps in open systems at finite temperature Kriel, Johannes N. King, Emma C. Kastner, Michael Quantum Physics Quantum Gases Statistical Mechanics 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. |
| title | Nonlinear quantum Kibble-Zurek ramps in open systems at finite temperature |
| topic | Quantum Physics Quantum Gases Statistical Mechanics |
| url | https://arxiv.org/abs/2601.10465 |