Restoring Adiabatic State Transfer in Time-Modulated Non-Hermitian Systems

Abstract

Non-Hermitian systems have attracted much interest in recent decades, driven partly by the existence of exotic spectral singularities, known as exceptional points (EPs), where the dimensionality of the system evolution operator is reduced. Among various intriguing applications, the discovery of EPs has suggested the potential for implementing a symmetric mode switch, when encircling them in a system parameter space. However, subsequent theoretical and experimental works have revealed that {\it dynamical} encirclement of EPs invariably results in asymmetric mode conversion; namely, the mode switching depends only on the winding direction but not on the initial state. This chirality arises from the failure of adiabaticity due to the complex spectrum of non-Hermitian systems. Although the chirality revealed has undoubtedly made a significant impact in the field, a realization of the originally sought symmetric adiabatic passage in non-Hermitian systems with EPs has since been elusive. In this work, we bridge this gap and theoretically demonstrate that adiabaticity, and therefore a symmetric state transfer, is achievable when dynamically winding around an EP. This becomes feasible by specifically choosing a trajectory in the system parameter space along which the corresponding evolution operator attains a real spectrum. Our findings, thus, offer a promise for advancing various wave manipulation protocols in both quantum and classical domains.

6 pages, 4 figures

References in corpus (5)

• Dynamically encircling exceptional points: Exact evolution and polarization state conversion
• Exceptional Points in Atomic Spectra
• Exceptional Points in a Microwave Billiard with Time-Reversal Invariance Violation
• Observation of Chiral State Transfer Without Encircling an Exceptional Point
• Resolving the topology of encircling multiple exceptional points

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• Enhanced quantum sensing in time-modulated non-Hermitian systems
• Topological Operations Around Exceptional Points via Shortcuts to Adiabaticity
• Topological state permutations in time-modulated non-Hermitian multiqubit systems with suppressed non-adiabatic transitions
• Efficient and controlled symmetric and asymmetric Bell-state transfers in a dissipative Jaynes-Cummings model
• Exploring the topology of a non-Hermitian superconducting qubit using shortcuts to adiabaticity
• Robustness of tripartite entangled states in passive PT-symmetric qubits
• Third-order exceptional surface in a pseudo-Hermitian superconducting circuit
• Dynamical non-Hermitian systems: Fingerprints and pure dephasing induced protection effect
• Covariant formulation of the Berry connection in non-Hermitian systems