Spectral Signatures of Nontrivial Topology in a Superconducting Circuit

Topology, like symmetry, is a fundamental concept in understanding general properties of physical systems. In condensed matter, nontrivial topology may manifest itself as singular features in the energy spectrum or the quantization of electrical properties such as conductance and magnetic flux. Usin...

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Main Authors: L. Peyruchat, R. H. Rodriguez, J.-L. Smirr, R. Leone, Ç. Ö. Girit
Format: Article
Language:English
Published: American Physical Society 2024-11-01
Series:Physical Review X
Online Access:http://doi.org/10.1103/PhysRevX.14.041041
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author L. Peyruchat
R. H. Rodriguez
J.-L. Smirr
R. Leone
Ç. Ö. Girit
author_facet L. Peyruchat
R. H. Rodriguez
J.-L. Smirr
R. Leone
Ç. Ö. Girit
author_sort L. Peyruchat
collection DOAJ
description Topology, like symmetry, is a fundamental concept in understanding general properties of physical systems. In condensed matter, nontrivial topology may manifest itself as singular features in the energy spectrum or the quantization of electrical properties such as conductance and magnetic flux. Using microwave spectroscopy, we determine that a superconducting circuit with three Josephson tunnel junctions in parallel can possess degeneracies indicative of intrinsic nontrivial topology. We identify three topological invariants, one of which is related to a hidden quantum mechanical supersymmetry. Measurements show that devices fabricated in different topological regimes fall on a simple phase diagram, which should be robust to junction imperfections and geometric inductance. Josephson tunnel junction circuits, which are readily fabricated with conventional microlithography techniques, allow access to a wide range of topological systems that may have no condensed matter analog. Notable spectral features of these circuits, such as degeneracies and flat bands, may find use in quantum information, sensing, and metrology.
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spelling doaj-art-74763da01fc14007bc89942211c19fdf2025-08-20T02:14:49ZengAmerican Physical SocietyPhysical Review X2160-33082024-11-0114404104110.1103/PhysRevX.14.041041Spectral Signatures of Nontrivial Topology in a Superconducting CircuitL. PeyruchatR. H. RodriguezJ.-L. SmirrR. LeoneÇ. Ö. GiritTopology, like symmetry, is a fundamental concept in understanding general properties of physical systems. In condensed matter, nontrivial topology may manifest itself as singular features in the energy spectrum or the quantization of electrical properties such as conductance and magnetic flux. Using microwave spectroscopy, we determine that a superconducting circuit with three Josephson tunnel junctions in parallel can possess degeneracies indicative of intrinsic nontrivial topology. We identify three topological invariants, one of which is related to a hidden quantum mechanical supersymmetry. Measurements show that devices fabricated in different topological regimes fall on a simple phase diagram, which should be robust to junction imperfections and geometric inductance. Josephson tunnel junction circuits, which are readily fabricated with conventional microlithography techniques, allow access to a wide range of topological systems that may have no condensed matter analog. Notable spectral features of these circuits, such as degeneracies and flat bands, may find use in quantum information, sensing, and metrology.http://doi.org/10.1103/PhysRevX.14.041041
spellingShingle L. Peyruchat
R. H. Rodriguez
J.-L. Smirr
R. Leone
Ç. Ö. Girit
Spectral Signatures of Nontrivial Topology in a Superconducting Circuit
Physical Review X
title Spectral Signatures of Nontrivial Topology in a Superconducting Circuit
title_full Spectral Signatures of Nontrivial Topology in a Superconducting Circuit
title_fullStr Spectral Signatures of Nontrivial Topology in a Superconducting Circuit
title_full_unstemmed Spectral Signatures of Nontrivial Topology in a Superconducting Circuit
title_short Spectral Signatures of Nontrivial Topology in a Superconducting Circuit
title_sort spectral signatures of nontrivial topology in a superconducting circuit
url http://doi.org/10.1103/PhysRevX.14.041041
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