Multimagnon quantum many-body scars from tensor operators

Multimagnon quantum many-body scars from tensor operators
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来自张量算子的多磁子量子多体疤痕

DOI:
10.1103/physrevresearch.4.043006
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发表时间:
2022
影响因子:
4.2
通讯作者:
Chandran, Anushya
Chandran, Anushya
中科院分区:
--
文献类型:
--
作者:
Tang, Long-Hin;O'Dea, Nicholas;Chandran, Anushya

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我们构建了一个三体自旋哈密尔顿族,具有一组超广泛的无限长的多磁子态。每个这样的状态下的磁振子都携带准动量为零或固定的能量。这些多磁子态提供了量子多体疤痕的典型例子:它们是有限能量密度的本征态,违反了本征态热化假说,并导致某些淬灭实验中局部可观测量的持续振荡。在技​​术方面,我们展示了使用由不可约张量算子构建的算子基础来系统推导满足受限谱生成代数的疤痕哈密顿量。可以为任何自旋、空间维度或生成疤痕子空间的连续非阿贝尔对称性构建该算子基础。
We construct a family of three-body spin-Hamiltonians with a superextensive set of infinitely long-lived multimagnon states. A magnon in each such state carries either quasimomentum zero or fixed, and energy. These multimagnon states provide an archetypal example of quantum many-body scars: they are eigenstates at finite-energy density that violate the eigenstate thermalization hypothesis, and lead to persistent oscillations in local observables in certain quench experiments. On the technical side, we demonstrate the systematic derivation of scarred Hamiltonians that satisfy a restricted spectrum-generating algebra using an operator basis built out of irreducible tensor operators. This operator basis can be constructed for any spin, spatial dimension, or continuous non-Abelian symmetry that generates the scarred subspace.
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