Analytical derivation and extension of the anti-Kibble-Zurek scaling in the transverse field Ising model

Iwamura, Kaito; Suzuki, Takayuki

doi:10.1103/physrevb.110.144102

Phys. Rev. B

2024

DOI: 10.1103/physrevb.110.144102

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Analytical derivation and extension of the anti-Kibble-Zurek scaling in the transverse field Ising model

Kaito Iwamura,

Takayuki Suzuki

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2024

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Exact survival probability of a time-dependent open Ising chain at zero temperature

Suzuki

2024

Phys. Rev. Research

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In this study, we rigorously derived the survival probability in a time-dependent Ising chain coupled with a bosonic system at zero temperature. We found that nonadiabatic transitions can occur in finite systems due to effects of the external environment, even in parameter regions that are adiabatic in isolated systems. This phenomenon is attributed to cooperative effects similar to those in the Dicke model, becoming particularly pronounced under strong-coupling conditions. Furthermore, considering a continuous-mode boson bath, this cooperative effect can potentially enhance the accuracy of estimating the coupling strength with the environment. These findings may provide new insights and serve as a criterion for evaluating existing and future simulation methods of open many-body quantum systems. Published by the American Physical Society 2024

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Exact survival probability of a time-dependent open Ising chain at zero temperature

Suzuki

2024

Phys. Rev. Research

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Analytical derivation and extension of the anti-Kibble-Zurek scaling in the transverse field Ising model

Cited by 1 publication

References 62 publications

Exact survival probability of a time-dependent open Ising chain at zero temperature

Exact survival probability of a time-dependent open Ising chain at zero temperature

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