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Open Quantum Systems Decoherence

Quantum Geometric Bounds in Non-Hermitian Systems

arXiv
Authors: Milosz Matraszek, Wojciech J. Jankowski, Jan Behrends

Year

2025

Paper ID

36107

Status

Preprint

Abstract Read

~2 min

Abstract Words

80

Citations

N/A

Abstract

We identify quantum geometric bounds for observables in non-Hermitian systems. We find unique bounds on non-Hermitian quantum geometric tensors, generalized two-point response correlators, conductivity tensors, and optical weights. We showcase these findings in topological systems with non-Hermitian Chern numbers. We demonstrate that the non-Hermitian geometric constraints on response functions naturally arise in open quantum systems governed by out-of-equilibrium Lindbladian dynamics. Our findings are relevant to experimental observables and responses under the realistic setups that fall beyond the idealized closed-system descriptions.

Why This Paper Matters

  • This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
  • It adds a 2025 reference point for readers tracking recent quantum research.
  • We identify quantum geometric bounds for observables in non-Hermitian systems.

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