Detecting topological exceptional points in a parity-time symmetric system with cold atoms

Abstract

We reveal a novel topological property of the exceptional points in a two-level parity-time symmetric system and then propose a scheme to detect the topological exceptional points in the system, which is embedded in a larger Hilbert space constructed by a four-level cold atomic system. We show that a tunable parameter in the presented system for simulating the non-Hermitian Hamiltonian can be tuned to swept the eigenstates through the exceptional points in parameter space. The non-trivial Berry phases of the eigenstates obtained in this loop from the exceptional points can be measured by the atomic interferometry. Since the proposed operations and detection are experimentally feasible, our scheme may pave a promising way to explore the novel properties of non-Hermitian systems.

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Cited by in corpus (6)

• Dynamical quantum phase transitions in non-Hermitian lattices
• Fermion doubling theorems in 2D non-Hermitian systems for Fermi points and exceptional points
• Hunting for the non-Hermitian exceptional points with fidelity susceptibility
• General properties of fidelity in non-Hermitian quantum systems with PT symmetry
• Unification of quantum Zeno-anti Zeno effects and parity-time symmetry breaking transitions
• $\mathcal{P}\mathcal{T}$-Symmetry Enhanced Berezinskii-Kosterlitz-Thouless Superfluidity