Roy Ananda, Lukyanov Sergei L
Department of Physics and Astronomy, Rutgers University, Piscataway, NJ, 08854-8019, USA.
Nat Commun. 2023 Nov 16;14(1):7433. doi: 10.1038/s41467-023-43107-3.
Confinement of topological excitations into particle-like states - typically associated with theories of elementary particles - are known to occur in condensed matter systems, arising as domain-wall confinement in quantum spin chains. However, investigation of confinement in the condensed matter setting has rarely ventured beyond lattice spin systems. Here we analyze the confinement of sine-Gordon solitons into mesonic bound states in a perturbed quantum sine-Gordon model. The latter describes the scaling limit of a one-dimensional, quantum electronic circuit (QEC) array, constructed using experimentally-demonstrated QEC elements. The scaling limit is reached faster for the QEC array compared to spin chains, allowing investigation of the strong-coupling regime of this model. We compute the string tension of confinement of sine-Gordon solitons and the changes in the low-lying energy spectrum. These results, obtained using the density matrix renormalization group method, could be verified in a quench experiment using state-of-the-art QEC technologies.
拓扑激发被限制在类粒子状态——通常与基本粒子理论相关——已知会出现在凝聚态系统中,表现为量子自旋链中的畴壁限制。然而,在凝聚态环境中对限制的研究很少超出晶格自旋系统。在这里,我们分析了在一个受扰量子正弦-戈登模型中,正弦-戈登孤子被限制为介子束缚态的情况。后者描述了一个使用实验证明的量子电子电路(QEC)元件构建的一维量子电子电路(QEC)阵列的标度极限。与自旋链相比,QEC阵列更快地达到标度极限,从而能够研究该模型的强耦合 regime。我们计算了正弦-戈登孤子限制的弦张力以及低能谱的变化。这些使用密度矩阵重整化群方法获得的结果,可以在使用最先进QEC技术的猝灭实验中得到验证。