Non-Hermitian topology in monitored quantum circuits

• Published in: Physical review research Vol. 4; no. 3; p. L032026
• Main Authors: Fleckenstein, Christoph, Zorzato, Alberto, Varjas, Daniel, Bergholtz, Emil J., Bardarson, Jens H., Tiwari, Apoorv
• Format: Journal Article
• Language: English
• Published: American Physical Society 15.08.2022
• Subjects: 1D chain; Biorthogonal; Effective Hamiltonian; Hamiltonians; Hermitians; Monitored systems; Phase diagrams; Quantum circuit; Spinless electrons; Su Schrieffer Heeger model; Timing circuits; Topological invariants; Topological phase; Topology

We demonstrate that genuinely non-Hermitian topological phases and corresponding topological phase tran-sitions can be naturally realized in monitored quantum circuits, exemplified by the paradigmatic non-Hermitian Su-Schrieffer-Heeger model. We emulate this model by a 1D chain of spinless electrons...