Topological Defects from Quantum Reset Dynamics

Fuente: arXiv
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Hauptverfasser: Jafari, R., Johannesson, Henrik, Eggert, Sebastian
Format: Preprint
Veröffentlicht: 2026
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author Jafari, R.
Johannesson, Henrik
Eggert, Sebastian
author_facet Jafari, R.
Johannesson, Henrik
Eggert, Sebastian
contents We analyze mechanisms for universal out-of-equilibrium dynamics near criticality by exploring the effect of randomized quantum resetting (QR) under a finite-time quench across a quantum phase transition. Using the transverse-field Ising chain as a generic model and exploiting its exact solution, QR is found to cause a crossover of the scaling of the topological defect density with the time scale $τ$ of the quench, from Kibble-Zurek to anti-Kibble-Zurek scaling as $τ$ increases. This reflects a competition between non-adiabatic quench-driven excitations and QR, giving rise to local minima of the defect densities at optimal annealing times. These times and the corresponding local minima are shown to scale as universal power laws with the rate of QR. Additional results for the scaling of the mean excess energy suggest that a system driven across a quantum critical point exhibits the same scaling behavior under a linear quench with QR as with uncorrelated noise.
format Preprint
id arxiv_https___arxiv_org_abs_2602_00230
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Topological Defects from Quantum Reset Dynamics
Jafari, R.
Johannesson, Henrik
Eggert, Sebastian
Statistical Mechanics
Strongly Correlated Electrons
Quantum Physics
We analyze mechanisms for universal out-of-equilibrium dynamics near criticality by exploring the effect of randomized quantum resetting (QR) under a finite-time quench across a quantum phase transition. Using the transverse-field Ising chain as a generic model and exploiting its exact solution, QR is found to cause a crossover of the scaling of the topological defect density with the time scale $τ$ of the quench, from Kibble-Zurek to anti-Kibble-Zurek scaling as $τ$ increases. This reflects a competition between non-adiabatic quench-driven excitations and QR, giving rise to local minima of the defect densities at optimal annealing times. These times and the corresponding local minima are shown to scale as universal power laws with the rate of QR. Additional results for the scaling of the mean excess energy suggest that a system driven across a quantum critical point exhibits the same scaling behavior under a linear quench with QR as with uncorrelated noise.
title Topological Defects from Quantum Reset Dynamics
topic Statistical Mechanics
Strongly Correlated Electrons
Quantum Physics
url https://arxiv.org/abs/2602.00230