Statistics of topological defects across a phase transition in a superconducting quantum processor

• URL: http://arxiv.org/abs/2410.06250v1
• Date: Tue, 8 Oct 2024 18:00:01 GMT
• Title: Statistics of topological defects across a phase transition in a superconducting quantum processor
• Authors: Daniil Teplitskiy, Oriel Kiss, Michele Grossi, Antonio Mandarino,
• Abstract summary: We investigate the counting statistics of kink density in the 1D transverse-field quantum Ising model. We demonstrate on a 20-qubit quantum processing unit, that disrupts higher-order cumulants follow universal power law scaling. We also show the breakdown of the KZM mechanism for short quenches for finite-size systems.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: When a quantum phase transition is crossed within a finite time, critical slowing down disrupts adiabatic dynamics, resulting in the formation of topological defects. The average density of these defects scales with the quench rate, adhering to a universal power law as predicted by the Kibble-Zurek mechanism (KZM). In this study, we aim to investigate the counting statistics of kink density in the 1D transverse-field quantum Ising model. We demonstrate on a 20-qubit quantum processing unit, that higher-order cumulants follow a universal power law scaling as a function of the quench time. We also show the breakdown of the KZM mechanism for short quenches for finite-size systems. Tensor network simulations corroborate our quantum simulation results for bigger systems not in the asymptotic limit.

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