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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…

Mesoscale and Nanoscale Physics · Physics 2026-02-02 Manuel Houzet , Julia S. Meyer , Yuli V. Nazarov

We present a real-time diagrammatic theory for transport through interacting quantum dots tunnel coupled to normal and superconducting leads. Our formulation describes both the equilibrium and non-equilibrium superconducting proximity…

Superconductivity · Physics 2008-09-05 Michele Governale , Marco G. Pala , Jürgen König

We investigate superconducting quantum interference devices consisting of two highly transmissive Josephson junctions coupled by a superconducting loop, all defined in an epitaxial InAs/Al heterostructure. A novel device design allows for…

Mesoscale and Nanoscale Physics · Physics 2020-06-16 F. Nichele , E. Portolés , A. Fornieri , A. M. Whiticar , A. C. C. Drachmann , T. Wang , G. C. Gardner , C. Thomas , A. T. Hatke , M. J. Manfra , C. M. Marcus

Electronic transport through nanostructures is greatly affected by the presence of superconducting leads. If the interface between the nanostructure and the superconductors is sufficiently transparent, a dissipationless current…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Pablo Jarillo-Herrero , Jorden A. van Dam , Leo P. Kouwenhoven

Superconducting qubits are solid state electrical circuits fabricated using techniques borrowed from conventional integrated circuits. They are based on the Josephson tunnel junction, the only non-dissipative, strongly non-linear circuit…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. H. Devoret , A. Wallraff , J. M. Martinis

We present a theory of transport through interacting quantum dots coupled to normal and superconducting leads in the limit of weak tunnel coupling. A Josephson current between two superconducting leads, carried by first-order tunnel…

Superconductivity · Physics 2010-09-03 Marco G. Pala , Michele Governale , Jürgen König

We develop a theory for the quantum circuit consisting of a superconducting loop interrupted by four Josephson junctions and pierced by a magnetic flux (either static or time-dependent). In addition to the similarity with the typical…

Quantum Physics · Physics 2016-08-04 Yueyin Qiu , Wei Xiong , Xiao-Ling He , Tie-Fu Li , J. Q. You

The non-dissipative non-linearity of a Josephson junction converts macroscopic superconducting circuits into artificial atoms, enabling some of the best controlled quantum bits (qubits) today. Three fundamental types of superconducting…

In this article we review the state of the art on the transport properties of quantum dot systems connected to superconducting and normal electrodes. The review is mainly focused on the theoretical achievements although a summary of the…

Mesoscale and Nanoscale Physics · Physics 2011-11-22 A. Martin-Rodero , A. Levy Yeyati

Recent experimental advancements in dissipation control have yielded significant insights into non-hermitian Hamiltonians for open quantum systems. Of particular interest are the topological characteristics exhibited by these non-hermitian…

Mesoscale and Nanoscale Physics · Physics 2025-11-06 David Christian Ohnmacht , Valentin Wilhelm , Hannes Weisbrich , Wolfgang Belzig

The Josephson transport and the electronic properties of a quantum dot characterized by a single level coupled to superconducting leads is analyzed. Different approximations are used and compared: the mean field approximation, the second…

Condensed Matter · Physics 2009-11-07 E. Vecino , A. Martin-Rodero , A. Levy Yeyati

We present the design of a superconducting qubit that has circulating currents of opposite sign as its two states. The circuit consists of three nano-scale aluminum Josephson junctions connected in a superconducting loop and controlled by…

Condensed Matter · Physics 2009-10-31 T. P. Orlando , J. E. Mooji , Lin Tian , Caspar H. van der Wal , L. Levitov , Seth Lloyd , J. J. Mazo

The Josephson effect describes the flow of supercurrent in a weak link, such as a tunnel junction, nanowire, or molecule, between two superconductors. It is the basis for a variety of circuits and devices, with applications ranging from…

Mesoscale and Nanoscale Physics · Physics 2013-07-23 L. Bretheau , Ç. Ö. Girit , Hugues Pothier , D. Esteve , C. Urbina

We analyze the properties of flat-band superconductor junctions that behave differently from ordinary junctions containing only metals with Fermi surfaces. In particular, we show how in the tunneling limit the critical Josephson current…

Superconductivity · Physics 2025-09-08 P. Virtanen , R. P. S. Penttilä , P. Törmä , A. Díez-Carlón , D. K. Efetov , T. T. Heikkilä

In the design and investigation of superconducting qubits and related devices, a lumped element circuit model is the standard theoretical approach. However, many important physical questions lie beyond its scope, e.g. the behavior of…

Superconductivity · Physics 2023-04-05 Ari Mizel

In hybrid Josephson junctions with three or more superconducting terminals coupled to a semiconducting region, Andreev bound states may form unconventional energy band structures, or Andreev matter, which are engineered by controlling…

The Andreev bound state spectra of multi-terminal Josephson junctions form an artificial band structure, which is predicted to host tunable topological phases under certain conditions. However, the number of conductance modes between the…

Mesoscale and Nanoscale Physics · Physics 2022-10-11 Gino V. Graziano , Mohit Gupta , Mihir Pendharkar , Jason T. Dong , Connor P. Dempsey , Chris Palmstrøm , Vlad S. Pribiag

We propose a microscopic model of critical current noise in Josephson-junctions based on individual trapping-centers in the tunnel barrier hybridized with electrons in the superconducting leads. We calculate the noise exactly in the limit…

Superconductivity · Physics 2009-09-19 Rogerio de Sousa , K. Birgitta Whaley , Theresa Hecht , Jan von Delft , Frank K. Wilhelm

Hybrid semiconductor-superconductor qubits have recently emerged as a promising alternative to traditional platforms, combining material advantages with device-level tunability. A defining feature is their gate-tunable Josephson coupling,…

Fluxons in a superconducting loop can be coherently coupled by quantum phase slips occurring at a weak link such as a Josephson junction. If Cooper pair tunneling at the junction occurs through a resonant level, $2\pi$ quantum phase slips…

Mesoscale and Nanoscale Physics · Physics 2024-08-14 T. Vakhtel , P. D. Kurilovich , M. Pita-Vidal , A. Bargerbos , V. Fatemi , B. van Heck
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