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Researchers have identified that local measurements fail to detect hidden topological states in specific dissipative superconductors, challenging standard assumptions about decay rates and quantum structure mapping. By decomposing the Majorana rapidity matrix into independent non-Hermitian sectors, this work reveals a nuanced picture of how open boundary conditions reshape spectra through the non-Bloch skin effect. These findings advance the theoretical framework for diagnosing topology in complex dissipative systems where traditional bulk-boundary correspondence breaks down.

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Researchers Map Hidden Edge States in Dissipative Superconductor

Quantum ZeitgeistAugust 17, 20266 min read

Normally, a material’s decay rate reveals its underlying quantum structure, but in a novel topological superconductor, this connection fails. The Majorana rapidity matrix splits into independent sectors at zero chemical potential, yet local measurements detect only a combined decay rate, remaining oblivious to hidden topological states. This sector-blindness contrasts with other dissipative systems and unveils a more nuanced picture of non-Hermitian topology.

Algebraic decay occurs in the gapless regime and an exponential falloff is observed in the gapped phase, enabling local observables to directly diagnose the topology. The correspondence breaks down in a dissipative topological superconductor, where local observables become unable to decipher the expected topology. Shaina Gandhi of the Indian Institute of Technology Guwahati and colleagues from Bilkent University, using a bond-dissipative dimerized Kitaev chain within a third-quantized rapidity-matrix formulation, find that at zero chemical potential the Majorana rapidity matrix decomposes into two independent non-Hermitian sectors. Each sector possesses its own generalised Brillouin zone and non-Bloch winding number, thereby revealing a sector-resolved non-Bloch bulk-boundary correspondence. Non-Hermitian lattices are strongly boundary…

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