Statistics of topological defects across a phase transition in a digital superconducting quantum processor
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866916789049360384 |
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| author | Kiss, Oriel Teplitskiy, Daniil Grossi, Michele Mandarino, Antonio |
| author_facet | Kiss, Oriel Teplitskiy, Daniil Grossi, Michele Mandarino, Antonio |
| contents | 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 multiple quantum processing units up to 100 qubits, 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 for short quenches for finite-size systems. Tensor network simulations corroborate our quantum simulation results for bigger systems not in the asymptotic limit. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_06250 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Statistics of topological defects across a phase transition in a digital superconducting quantum processor Kiss, Oriel Teplitskiy, Daniil Grossi, Michele Mandarino, Antonio Quantum Physics Statistical Mechanics 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 multiple quantum processing units up to 100 qubits, 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 for short quenches for finite-size systems. Tensor network simulations corroborate our quantum simulation results for bigger systems not in the asymptotic limit. |
| title | Statistics of topological defects across a phase transition in a digital superconducting quantum processor |
| topic | Quantum Physics Statistical Mechanics |
| url | https://arxiv.org/abs/2410.06250 |