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<p>A many-body Fourier transformation with logarithmic scaling in the number of necessary two-site gates is implemented. The protocol is applied to study the Bethe chain as a prototype of a translationally invariant system. The resulting energy diagram features flat bands and a homogeneous gap that closely matches the interaction constant. The introduced protocol can be applied to a wide spectrum of scenarios and provides a tool to obtain many-body band diagrams of interacting systems.</p>

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The Fast Mode-Fourier-Transform and the Bands of Interacting Systems

  • 期刊论文

  • 发表日期：

    2025年10月20日

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  • Jose Reslen

摘要

A many-body Fourier transformation with logarithmic scaling in the number of necessary two-site gates is implemented. The protocol is applied to study the Bethe chain as a prototype of a translationally invariant system. The resulting energy diagram features flat bands and a homogeneous gap that closely matches the interaction constant. The introduced protocol can be applied to a wide spectrum of scenarios and provides a tool to obtain many-body band diagrams of interacting systems.