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A quantum simulator of U(1) lattice gauge theories can be implemented with superconducting circuits. This allows the investigation of confined and deconfined phases in quantum link models, and of valence bond solid and spin liquid phases in…

Quantum Physics · Physics 2014-10-28 D. Marcos , P. Widmer , E. Rico , M. Hafezi , P. Rabl , U. -J. Wiese , P. Zoller

We investigate the resistively shunted Josephson junction (RSJ) at equilibrium, using linear response, an exact path integral technique and symmetry considerations. All three approaches independently lead to conclude that the…

Superconductivity · Physics 2025-01-16 Carles Altimiras , Daniel Esteve , Çağlar Girit , Hélène le Sueur , Philippe Joyez

Superconducting circuits are currently developed as a versatile platform for the exploration of many-body physics, by building on non-linear elements that are often idealized as two-level qubits. A classic example is given by a charge qubit…

Mesoscale and Nanoscale Physics · Physics 2021-12-20 Kuljeet Kaur , Théo Sépulcre , Nicolas Roch , Izak Snyman , Serge Florens , Soumya Bera

The Hamiltonian operator for an unbiased array of Josephson junctions with gate voltages is constructed when only Cooper pair tunnelling and charging effects are taken into account. The supercurrent through the system and the pumped current…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 M. Aunola , J. J. Toppari , J. P. Pekola

Dynamical instabilities can amplify small perturbations into measurable signals, offering a route to quantum-enhanced sensing. This mechanism was experimentally demonstrated in a collective-spin system with quadratic interactions, described…

Quantum Physics · Physics 2026-04-08 Bidhi Vijaywargia , Jorge Chávez-Carlos , Francisco Pérez-Bernal , Lea F. Santos

Superconducting circuits with embedded symmetries are good candidates to robustly protect quantum information from dominant error channels. The $\cos(2\varphi)$ qubit, consisting of an island shunted to ground through a tunneling element…

A Josephson tunnel junction transistor based on quasiparticle injection is proposed. Its operation relies on the manipulation of the electron distribution in one of the junction electrodes. This is accomplished by injecting quasiparticle…

Superconductivity · Physics 2008-07-12 F. Giazotto , J. P. Pekola

The Josephson junction is typically tuned by a magnetic field or electrostatic gates to realize a superconducting transistor, which manipulates the supercurrent in integrated superconducting circuits. However, this tunable method does not…

Mesoscale and Nanoscale Physics · Physics 2025-11-27 Guo-Jian Qiao , Zhi-Lei Zhang , Sheng-Wen Li , C. P. Sun

A Josephson diode is a superconducting circuit element that enables non-reciprocal transport, allowing a dissipationless supercurrent to preferentially flow in a single direction. Existing methods for achieving the required symmetry…

Mesoscale and Nanoscale Physics · Physics 2025-03-11 David Scheer , Rubén Seoane Souto , Fabian Hassler , Jeroen Danon

With the increase of complexity and coherence of superconducting systems made using the principles of circuit quantum electrodynamics, more accurate methods are needed for the characterization, analysis and optimization of these quantum…

Quantum Physics · Physics 2021-01-12 Firat Solgun , David P. DiVincenzo

Motivated by recent experiments on superconducting circuits consisting of a dc-voltage biased Josephson junction in series with a resonator, quantum properties of these devices far from equilibrium are studied. This includes a crossover…

Mesoscale and Nanoscale Physics · Physics 2013-12-23 Vera Gramich , Björn Kubala , Selina Rohrer , Joachim Ankerhold

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

We study a type of port-Hamiltonian system, in which the controller or disturbance is not applied to the flow variables, but to the systems power, a scenario that appears in many practical applications. A suitable framework is provided to…

Systems and Control · Computer Science 2018-02-08 Pooya Monshizadeh , Juan E. Machado , Romeo Ortega , Arjan van der Schaft

The article is a short opinionated review of the quantum treatment of electromagnetic circuits, with no pretension to exhaustiveness. This review, which is an updated and modernized version of a previous set of Les Houches School lecture…

Quantum Physics · Physics 2017-06-12 Uri Vool , Michel H. Devoret

Josephson junctions enable dissipation-less electrical current through metals and insulators below a critical current. Despite being central to quantum technology based on superconducting quantum bits and fundamental research into…

The transmon qubit, essential to quantum computation, exhibits disordered dynamics under strong parametric drives critical to its control. We present a combined theoretical and numerical study of stability regions in circuit QED using…

Quantum Physics · Physics 2025-05-20 Maria Gabriela Boada , Andrea Delgado , Jose Morales Escalante

The integration of semiconductor Josephson junctions (JJs) in superconducting quantum circuits provides a versatile platform for hybrid qubits and offers a powerful way to probe exotic quasiparticle excitations. Recent proposals for using…

In this article, we introduce an algorithmic method to find the conservative energy and non-conservative power of a large class of maximally nonlinear electric circuits (including Josephson tunnel junctions, coherent quantum phase slips,…

Classical Physics · Physics 2024-12-19 M. Mariantoni

Trapped-ion quantum simulators, in analog and digital modes, are considered a primary candidate to achieve quantum advantage in quantum simulation and quantum computation. The underlying controlled ion-laser interactions induce all-to-all…

Quantum Physics · Physics 2022-05-16 Bárbara Andrade , Zohreh Davoudi , Tobias Graß , Mohammad Hafezi , Guido Pagano , Alireza Seif

Near-integrability is usually associated with smooth small perturbations of smooth integrable systems. Studying integrable mechanical Hamiltonian flows with impacts that respect the symmetries of the integrable structure provides an…

Chaotic Dynamics · Physics 2020-11-24 Michal Pnueli , Vered Rom-Kedar