Exploring the topology of a non-Hermitian superconducting qubit using shortcuts to adiabaticity

Fuente: arXiv
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Autori principali: Erdamar, Serra, Abbasi, Maryam, Chen, Weijian, Hörnedal, Niklas, Chenu, Aurélia, Murch, Kater W.
Natura: Preprint
Pubblicazione: 2025
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author Erdamar, Serra
Abbasi, Maryam
Chen, Weijian
Hörnedal, Niklas
Chenu, Aurélia
Murch, Kater W.
author_facet Erdamar, Serra
Abbasi, Maryam
Chen, Weijian
Hörnedal, Niklas
Chenu, Aurélia
Murch, Kater W.
contents Open quantum systems described by a non-Hermitian Hamiltonian exhibit rich dynamics due to the topology of their complex energy spectrum. By encircling an exceptional point degeneracy, this topology allows for topological state transport, chiral geometric phases, and eigenvalue braiding. To access these topological features, it is desirable to drive the system adiabatically. However, adiabatic transport in a system with complex spectrum is conventionally only possible for the eigenstate whose eigenenergy has the lowest loss. Previous experiments have demonstrated such adiabatic evolution for the quantum state with relative gain, yet observed a breakdown in adiabaticity for quantum states with relative loss. In this work, we harness a shortcut to adiabaticity -- counterdiabatic driving -- to avoid the effects of loss while maintaining trajectories that follow the instantaneous eigenstates in significantly shorter timescales. We experimentally investigate the robustness of this control method using a superconducting transmon circuit with engineered dissipation. We observe that counterdiabatic driving stabilizes quasistatic transport and preserves the complex energy spectrum's topology.
format Preprint
id arxiv_https___arxiv_org_abs_2508_10122
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Exploring the topology of a non-Hermitian superconducting qubit using shortcuts to adiabaticity
Erdamar, Serra
Abbasi, Maryam
Chen, Weijian
Hörnedal, Niklas
Chenu, Aurélia
Murch, Kater W.
Quantum Physics
Open quantum systems described by a non-Hermitian Hamiltonian exhibit rich dynamics due to the topology of their complex energy spectrum. By encircling an exceptional point degeneracy, this topology allows for topological state transport, chiral geometric phases, and eigenvalue braiding. To access these topological features, it is desirable to drive the system adiabatically. However, adiabatic transport in a system with complex spectrum is conventionally only possible for the eigenstate whose eigenenergy has the lowest loss. Previous experiments have demonstrated such adiabatic evolution for the quantum state with relative gain, yet observed a breakdown in adiabaticity for quantum states with relative loss. In this work, we harness a shortcut to adiabaticity -- counterdiabatic driving -- to avoid the effects of loss while maintaining trajectories that follow the instantaneous eigenstates in significantly shorter timescales. We experimentally investigate the robustness of this control method using a superconducting transmon circuit with engineered dissipation. We observe that counterdiabatic driving stabilizes quasistatic transport and preserves the complex energy spectrum's topology.
title Exploring the topology of a non-Hermitian superconducting qubit using shortcuts to adiabaticity
topic Quantum Physics
url https://arxiv.org/abs/2508.10122