Non-Abelian gauge invariance from dynamical decoupling

Non-Abelian gauge invariance from dynamical decoupling
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DOI:
10.1103/physrevd.107.014506
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发表时间:
2020-12
期刊:
影响因子:
5
通讯作者:
V. Kasper;Torsten V. Zache;F. Jendrzejewski;M. Lewenstein;E. Zohar
V. Kasper;Torsten V. Zache;F. Jendrzejewski;M. Lewenstein;E. Zohar
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
V. Kasper;Torsten V. Zache;F. Jendrzejewski;M. Lewenstein;E. Zohar

文献摘要

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晶格规范理论是粒子物理、凝聚态物质或量子信息理论等不同领域的基础。人工量子系统控制的最新进展已经允许在桌面实验中研究阿贝尔晶格规范理论。然而,非阿贝尔模型的实现仍然具有挑战性。本文采用相干量子控制方案来实现非阿贝尔规范不变性,并对一维SU(2)晶格规范系统进行了详细的讨论。最后,我们对如何将我们的方案推广到其他非阿贝尔规范对称和更高的空间维度进行了评述,为非阿贝尔晶格规范理论的量子模拟提供了一条有前途的途径。
Lattice gauge theories are fundamental to such distinct fields as particle physics, condensed matter or quantum information theory. The recent progress in the control of artificial quantum systems already allows for studying Abelian lattice gauge theories in table-top experiments. However, the realization of non-Abelian models remains challenging. Here, we employ a coherent quantum control scheme to enforce non-Abelian gauge invariance, and discuss this idea in detail for a one dimensional SU(2) lattice gauge system. Finally, we comment on how to extend our scheme to other non-Abelian gauge symmetries and higher spatial dimensions, which summarized, provides a promising route for the quantum simulation of non-Abelian lattice gauge theories.