论文标题
多体jairo虫样零模式，没有规格对称性破坏
Many-body Majorana-like zero modes without gauge symmetry breaking
论文作者
论文摘要
拓扑超导体代表了基于Majorana的拓扑量子计算的关键主机之一。一维拓扑超导性的典型场景假定与超导状态相关的量规对称性。但是，已知没有相互作用的一维多体系统会自发打破量规的对称性。在这里，我们表明，零模式在没有规格对称性破坏的多体系统中出现，并且在没有超导顺序的情况下。特别是，我们证明了对称性超导状态的主要零模式连续连接到这些零模式激发，这表明在没有规格对称性破坏的情况下，零偏置异常可能会出现。我们证明，这些多体零模式具有对称性拓扑超导体的Majorana零模式的鲁棒性特征。我们介绍了一种有现形式主义，以分析这些激发，并表明可以在一定极限内分析地发现类似于拓扑超导状态的基态。我们的结果表明，坚固的主要零模式可能会出现在没有规格对称性破坏的多体系统中，因此引入了一个没有单粒子类似物的受保护激发系列。
Topological superconductors represent one of the key hosts of Majorana-based topological quantum computing. Typical scenarios for one-dimensional topological superconductivity assume a broken gauge symmetry associated to a superconducting state. However, no interacting one-dimensional many-body system is known to spontaneously break gauge symmetries. Here, we show that zero modes emerge in a many-body system without gauge symmetry breaking and in the absence of superconducting order. In particular, we demonstrate that Majorana zero modes of the symmetry-broken superconducting state are continuously connected to these zero-mode excitations, demonstrating that zero-bias anomalies may emerge in the absence of gauge symmetry breaking. We demonstrate that these many-body zero modes share the robustness features of the Majorana zero modes of symmetry-broken topological superconductors. We introduce a bosonization formalism to analyze these excitations and show that a ground state analogous to a topological superconducting state can be analytically found in a certain limit. Our results demonstrate that robust Majorana-like zero modes may appear in a many-body systems without gauge symmetry breaking, thus introducing a family of protected excitations with no single-particle analogs.
