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Extensive efforts have been undertaken to combine superconductivity and the quantum Hall effect so that Cooper-pair transport between superconducting electrodes in Josephson junctions is mediated by one-dimensional edge states. This…

Topological principles constitute at present an integral component of condensed matter physics, permeating the modern characterization of electronic states while also guiding materials design. In this brief Perspective, I highlight three…

Mesoscale and Nanoscale Physics · Physics 2026-03-25 Tomáš Bzdušek

Recent advances in superconducting circuit technology have made the fabrication of large, customizable circuits routine. This has led to their application to areas beyond quantum information and, in particular, to their use as quantum…

Quantum Physics · Physics 2025-03-04 Kamal Sharma , Wade DeGottardi

Hybrid multiterminal Josephson junctions (JJs) are expected to harbor a novel class of Andreev bound states (ABSs), including topologically nontrivial states in four-terminal devices. In these systems, topological phases emerge when ABSs…

Circuit quantum electrodynamics systems are typically built from resonators and two-level artificial atoms, but the use of multi-level artificial atoms instead can enable promising applications in quantum technology. Here we present an…

Quantum Physics · Physics 2015-08-05 É. Dumur , B. Küng , A. K. Feofanov , T. Weissl , N. Roch , C. Naud , W. Guichard , O. Buisson

When a quantum mechanical system undergoes an adiabatic cyclic evolution it acquires a geometrical phase factor in addition to the dynamical one. This effect has been demonstrated in a variety of microscopic systems. Advances in…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Giuseppe Falci , Rosario Fazio , G. Massimo Palma , Jens Siewert , Vlatko Vedral

Using the extraordinary sensitivity of Andreev interferometers to the superconducting phase difference associated with currents, we measure the persistent current quantum states in superconducting loops interrupted by Josephson junctions.…

Superconductivity · Physics 2009-11-11 V. T. Petrashov , K. G. Chua , K. M. Marshall , R. Sh. Shaikhaidarov , J. T. Nicholls

Dissipationless nonlinearities for three-wave mixing are a key component of many superconducting quantum devices, such as amplifiers and bosonic qubits. So far, such third-order nonlinearities have been primarily achieved with circuits of…

Mesoscale and Nanoscale Physics · Physics 2025-03-26 Constantin Schrade , Valla Fatemi

Topological superconductivity holds promise for fault-tolerant quantum computing. While planar Josephson junctions are attractive candidates to realize this exotic state, direct phase-measurements as the fingerprint of the topological…

Multiterminal Josephson junctions offer a powerful playground for exploring exotic superconducting and topological phenomena beyond the reach of conventional two-terminal devices. In this work, we present the direct spectroscopic…

Mesoscale and Nanoscale Physics · Physics 2026-01-27 Asmaul Smitha Rashid , Le Yi , Takashi Taniguchi , Kenji Watanabe , Nitin Samarth , Régis Mélin , Morteza Kayyalha

Multiterminal Josephson junctions are a promising platform to host synthetic topological phases of matter and Floquet states. However, the energy scales governing topological protection in these devices are on the order of the spacing…

We analyze the Andreev spectrum in a four-terminal Josephson junction between one-dimensional topological superconductors in class D. We find that a topologically protected crossing in the space of three superconducting phase differences…

Mesoscale and Nanoscale Physics · Physics 2019-08-07 Manuel Houzet , Julia S. Meyer

We show that Josephson junctions made of multiband semiconductors with strong spin-orbit coupling carry a critical supercurrent $I_c$ that contains information about the non-trivial topology of the system. In particular, we find that the…

Mesoscale and Nanoscale Physics · Physics 2014-04-22 Pablo San-Jose , Elsa Prada , Ramón Aguado

Majorana Bound States are predicted to appear as boundary states of the Kitaev model. Here we show that a pi-Josephson Junction, inserted in a topologically non trivial model ring, sustains a Majorana Bound State, which is robust with…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 P. Lucignano , F. Tafuri , A. Tagliacozzo

It is shown that the low energy spectrum of mesoscopic superconductors coupled by Josephson interaction can be probed by two-electron tunneling from a normal electrode. The Andreev reflection in the NS junction of a…

Condensed Matter · Physics 2009-10-22 F. W. J. Hekking , L. I. Glazman , Gerd Schoen

We consider a spatially inhomogeneous sine-Gordon equation with a time-periodic drive, modeling a microwave driven long Josephson junction with phase-shifts. Under appropriate conditions, Josephson junctions with phase-shifts can have a…

Pattern Formation and Solitons · Physics 2015-03-17 Amir Ali , Hadi Susanto , Jonathan Wattis

Semiconductor-based Josephson junctions embedded within a Cooper-pair-box can host complex many-body states, such as interacting Andreev states and potentially other quasi-particles of topological origin. Here, we study the insights that…

Mesoscale and Nanoscale Physics · Physics 2025-02-12 Daniel Dahan , Konstantin Yavilberg , Talya Shnaider , Elena Lupo , Malcolm R. Connolly , Eran Ginossar , Eytan Grosfeld

We develop a detailed theory describing a non-trivial interplay between non-equilibrium effects and long-range quantum coherence in superconducting hybrid nanostructures exposed to a temperature gradient. We establish a direct relation…

Superconductivity · Physics 2021-04-05 Mikhail S. Kalenkov , Andrei D. Zaikin

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

The abstract notion of topology has led to profound insights into real materials. Notably, the surface and edges of topological materials can host physics, such as unidirectional charge or spin transport, that is unavailable in isolated…

Mesoscale and Nanoscale Physics · Physics 2021-07-02 Nicodemos Varnava , Justin H. Wilson , J. H. Pixley , David Vanderbilt