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We give a formal algebraic description of Josephson-type quantum dynamical systems, i.e., Hamiltonian systems with a cos theta-like potential term. The two-boson Heisenberg algebra plays for such systems the role that the h(1) algebra does…

Mesoscale and Nanoscale Physics · Physics 2008-06-18 Lara Faoro , Francesco A. Raffa , Mario Rasetti

DC-voltage-biased Josephson junctions have been recently employed in superconducting circuits for Hamiltonian engineering, demonstrating microwave amplification, single photon sources and entangled photon generation. Compared to more…

Quantum Physics · Physics 2026-05-19 Thiziri Aissaoui , Anil Murani , Raphaël Lescanne , Alain Sarlette

We report the observation of quantum jumps between macroscopic quantum states in a superconducting phase qubit coupled to the two-level systems in the Josephson tunnel junction, and all key features of quantum jumps are confirmed in the…

Quantum Physics · Physics 2009-11-13 Yang Yu , Shi-Liang Zhu , Guozhu Sun , Xueda Wen , Ning Dong , Jian Chen , Peiheng Wu , Siyuan Han

We consider the classical and quantum dynamics of excitations in a system of two capacitively coupled Josephson junctions. In the classical case the equations of motion admit discrete breather solutions, which are time periodic and…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 R. A. Pinto , S. Flach

We present general conditions for quantum error suppression for Hamiltonian-based quantum computation using subsystem codes. This involves encoding the Hamiltonian performing the computation using an error detecting subsystem code and the…

Quantum Physics · Physics 2017-08-15 Milad Marvian , Daniel Lidar

We present a new scheme to perform noise resilient universal adiabatic quantum computation using two-body interactions. To achieve this, we introduce a new family of error detecting subsystem codes whose gauge generators and a set of their…

Quantum Physics · Physics 2019-11-05 Milad Marvian , Seth Lloyd

We investigate the static properties of 0-$\pi$ Josephson junctions, with particular emphasis on their application in superconducting quantum circuits. Using a theoretical framework based on the sine-Gordon equation, we analyze the phase…

Mesoscale and Nanoscale Physics · Physics 2025-05-20 N. Stefanakis

Low-capacitance Josephson junction arrays in the parameter range where single charges can be controlled are suggested as possible physical realizations of the elements which have been considered in the context of quantum computers. We…

Mesoscale and Nanoscale Physics · Physics 2008-02-03 Alexander Shnirman , Gerd Schoen , Ziv Hermon

The supersymmetric structure of a generalized non-Hermitian driven two-level system is demonstrated. A unitary rotation turns the Hamiltonian into a more convenient form. After decoupling a set of differential equations, the supersymmetric…

Quantum Physics · Physics 2025-10-16 Ivan A. Bocanegra-Garay , Luis M. Nieto

Supersymmetries in quantum mechanics offer a way to obtain degeneracies in the excitation spectrum which do not originate from selection rules. The mechanism behind the degeneracies is the same as the one that leads to the miraculous…

Mesoscale and Nanoscale Physics · Physics 2016-09-05 Jascha Ulrich , Daniel Otten , Fabian Hassler

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

We show how to optimally control the creation of quantum superpositions in a bosonic Josephson junction within the two-site Bose-Hubbard model framework. Both geometric and purely numerical optimal control approaches are used, the former…

Quantum Gases · Physics 2012-02-16 Marc Lapert , Giulia Ferrini , Dominique Sugny

In this paper we explore the quantum behaviour of a SQUID ring which has a significant Josephson coupling energy. We show that that the eigenfunctions of the Hamiltonian for the ring can be used to create macroscopic quantum superposition…

Quantum Physics · Physics 2007-05-23 M. J. Everitt , T. D. Clark , P. B. Stiffell , A. Vourdas , J. F. Ralph , R. J. Prance , H. Prance

Operation of a Superconducting Quantum Interference Device (SQUID) made of stacked Josephson junctions is analyzed numerically for a variety of junction parameters. Due to a magnetic coupling of junctions in the stack, such a SQUID has…

Superconductivity · Physics 2009-11-07 V. M. Krasnov

A practical strategy for synchronizing the properties of compound Josephson junction rf-SQUID qubits on a multiqubit chip has been demonstrated. The impacts of small ($\sim1%$) fabrication variations in qubit inductance and critical current…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 R. Harris , F. Brito , A. J. Berkley , J. Johansson , M. W. Johnson , T. Lanting , P. Bunyk , E. Ladizinsky , B. Bumble , A. Fung , A. Kaul , A. Kleinsasser , S. Han

We extend the Keldysh formulation to quantum spin systems and derive exact equations of motion. This allows us to explore the dynamics of single spins and of ferromagnets when these are inserted between superconducting leads. Several new…

Superconductivity · Physics 2009-11-10 Zohar Nussinov , Alexander Shnirman , Daniel P. Arovas , Alexander V. Balatsky , Jian-Xin Zhu

We propose to dynamically control the conductivity of a Josephson junction composed of two weakly coupled one dimensional condensates of ultracold atoms. A current is induced by a periodically modulated potential difference between the…

Quantum Gases · Physics 2021-02-10 Beilei Zhu , Vijay Pal Singh , Junichi Okamoto , Ludwig Mathey

We apply a Gutzwiller-like variational technique to study Josephson conduction across a quantum dot with an odd number of electrons connected to two superconducting leads. We show that, for small values of the superconducting gap, Kondo…

Strongly Correlated Electrons · Physics 2007-05-23 G. Campagnano , D. Giuliano , A. Tagliacozzo

Supercurrent transport is experimentally studied in a Josephson junction hosting a double quantum dot (DQD) with tunable symmetries. The QDs are parallel-coupled to two superconducting contacts and can be tuned between strong inter-dot…

Mesoscale and Nanoscale Physics · Physics 2022-12-14 Rousan Debbarma , Markus Aspegren , Florinda Viñas Boström , Sebastian Lehmann , Kimberly Dick , Claes Thelander

A small superconducting electrode (a single-Cooper-pair box) connected to a reservoir via a Josephson junction constitutes an artificial two-level system, in which two charge states that differ by 2e are coupled by tunneling of Cooper…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Y. Nakamura , Yu. A. Pashkin , J. S. Tsai