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  • Letter
  • Open Access

Non-Hermitian topology in monitored quantum circuits

Christoph Fleckenstein1, Alberto Zorzato1, Daniel Varjas2, Emil J. Bergholtz2, Jens H. Bardarson1, and Apoorv Tiwari1

  • 1Department of Physics, KTH Royal Institute of Technology, 106 91 Stockholm, Sweden
  • 2Department of Physics, Stockholm University, AlbaNova University Center, 106 91 Stockholm, Sweden

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Phys. Rev. Research 4, L032026 – Published 15 August, 2022

DOI: https://doi.org/10.1103/PhysRevResearch.4.L032026

Abstract

We demonstrate that genuinely non-Hermitian topological phases and corresponding topological phase transitions 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 evolving under unitary dynamics and subject to periodic measurements that are stochastically invoked. The non-Hermitian topology is visible in topological invariants adapted to the context of monitored circuits. For instance, the topological phase diagram of the monitored realization of the non-Hermitian Su-Schrieffer-Heeger model is obtained from the biorthogonal polarization computed from an effective Hamiltonian of the monitored system. Importantly, our monitored circuit realization allows direct access to steady-state biorthogonal expectation values of generic observables, and hence, to measure physical properties of a genuine non-Hermitian model. We expect our results to be applicable more generally to a wide range of models that host non-Hermitian topological phases.

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Phys. Rev. Research 4, L032026– Published 15 August, 2022
  • Received 19 January 2022
  • Revised 21 March 2022
  • Accepted 23 May 2022
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