2023/05/15 by Xing-Shuo Xu, Xu, Xing-Shuo, Xiang-Fa Zhou +5
Physics and Astronomy · #Atomic and Subatomic Physics Research #FOS: Physical sciences #Quantum Gases (cond-mat.quant-gas) #Quantum Physics (quant-ph) #Quantum optics and atomic interactions #Topological Materials and Phenomena
paper · pdf · doi:10.48550/arxiv.2305.08311
openalex publication_date 2023/05/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In open systems, topological edge states quickly lose coherence and cannot be used in topological quantum computation and quantum memory. Here we show that for dissipative quantum spin (or fermionic) systems, topologically non-Hermitian Liouville-Majorana edge modes (LMEMs) can survive in the extended Liouville-Fock space, which is beyond the scope of topological modes defined in usual Hermitian system. By vectorizing the Lindblad equation of the system using the third quantization, we prove that it reduces to a series of non-Hermitian Kitaev chains in the extended Liouville-Fock space, and topologically LMEMs are protected due to its internal symmetry. Furthermore, we provide an explicit method for detecting these modes and prove that the purity of the density matrix characterizes the long-range correlation of LMEMs. The work opens new avenues of searching for novel stable topological states in open systems induced by quantum jumps.