Andreev bound states in a superconducting qubit at odd parity

Fuente: arXiv
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Autori principali: Houzet, Manuel, Meyer, Julia S., Nazarov, Yuli V.
Natura: Preprint
Pubblicazione: 2026
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author Houzet, Manuel
Meyer, Julia S.
Nazarov, Yuli V.
author_facet Houzet, Manuel
Meyer, Julia S.
Nazarov, Yuli V.
contents The quantum mechanics of the Josephson effect is the core ingredient for quantum technologies with superconducting circuits. A new avenue was recently opened in this field by predicting that the Josephson quantum mechanics in the odd parity sector, when a quasiparticle in trapped in an Andreev bound state, is fundamentally different from the conventional one in the even sector. The focus was then on a Josephson junction surrounded by an electromagnetic environment formed of a collection of bosonic modes, including the case of an ohmic environment. Here we consider the distinct case of a superconducting qubit made of a single Josephson junction whose environment reduces to a capacitance. We find a novel structure for the low-lying discrete states in the odd sector, which is altogether different from the one that appears in the even sector. Our study of the bound-state spectrum ranges from the Coulomb-dominated (Cooper pair box) to the Josephson-dominated (transmon) regime. Our prediction could be tested in forthcoming experiments with superconductor/semiconductor/superconductor junctions, which have been studied intensively in recent years, both using nanowires as well as two-dimensional electron gases.
format Preprint
id arxiv_https___arxiv_org_abs_2601_23100
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Andreev bound states in a superconducting qubit at odd parity
Houzet, Manuel
Meyer, Julia S.
Nazarov, Yuli V.
Mesoscale and Nanoscale Physics
Superconductivity
The quantum mechanics of the Josephson effect is the core ingredient for quantum technologies with superconducting circuits. A new avenue was recently opened in this field by predicting that the Josephson quantum mechanics in the odd parity sector, when a quasiparticle in trapped in an Andreev bound state, is fundamentally different from the conventional one in the even sector. The focus was then on a Josephson junction surrounded by an electromagnetic environment formed of a collection of bosonic modes, including the case of an ohmic environment. Here we consider the distinct case of a superconducting qubit made of a single Josephson junction whose environment reduces to a capacitance. We find a novel structure for the low-lying discrete states in the odd sector, which is altogether different from the one that appears in the even sector. Our study of the bound-state spectrum ranges from the Coulomb-dominated (Cooper pair box) to the Josephson-dominated (transmon) regime. Our prediction could be tested in forthcoming experiments with superconductor/semiconductor/superconductor junctions, which have been studied intensively in recent years, both using nanowires as well as two-dimensional electron gases.
title Andreev bound states in a superconducting qubit at odd parity
topic Mesoscale and Nanoscale Physics
Superconductivity
url https://arxiv.org/abs/2601.23100