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We consider an interacting quantum dot strongly coupled to two superconducting leads in a Josephson junction geometry. By defining symmetry-adapted superpositions of states from the leads, we formulate an effective Hamiltonian for the…

Mesoscale and Nanoscale Physics · Physics 2024-01-17 Luka Pavešič , Ramón Aguado , Rok Žitko

We theoretically study macroscopic quantum entanglement in two superconducting flux qubits. To manipulate the state of two flux qubits, a Josephson junction is introduced in the connecting loop coupling the qubits. Increasing the coupling…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Mun Dae Kim , Sam Young Cho

We have studied the temporal evolution of a quantum system subjected to strong dissipation at ultra-low temperatures where the system-bath interaction represents the leading energy scale. In this regime, theory predicts the time evolution…

In this note I survey the extensive literature on the dynamics of large series arrays of identical current biased Josephson junctions coupled through various shared loads. The equations describing the dynamics are invariant under…

Dynamical Systems · Mathematics 2017-07-04 D. G. Aronson

We have constructed a new type of amplifier whose primary purpose is the readout of superconducting quantum bits. It is based on the transition of an RF-driven Josephson junction between two distinct oscillation states near a dynamical…

Superconductivity · Physics 2007-05-23 I. Siddiqi , R. Vijay , F. Pierre , C. M. Wilson , L. Frunzio , M. Metcalfe , C. Rigetti , M. H. Devoret

Superconducting nanowires and Josephson junctions, when biased close to superconducting critical current, can switch to a non-zero voltage state by thermal or quantum fluctuations. The process is understood as an escape of a Brownian…

Superconductivity · Physics 2019-11-07 Marek Foltyn , Maciej Zgirski

We propose to use a time-dependent imaginary potential to describe quantum mechanical tunneling through time-varying potential barriers. We use Gamow solutions for stationary tunneling problems to justify our choice of potential, and we…

Quantum Physics · Physics 2013-05-20 Christian Kraglund Andersen , Klaus Mølmer

We revisit quantum dynamics of the damped and driven nonlinear oscillator. In the classical case this system has two stationary solutions (the limit cycles) in the certain parameter region, which is the origin of the celebrated bistability…

Quantum Physics · Physics 2020-02-27 Andrey R. Kolovsky

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

Josephson junctions and superconducting wires when probed with current pulses exhibit stochastic switching from superconducting to a stable non-zero voltage state. Electrical current dependence of the switching probability (so called…

Mesoscale and Nanoscale Physics · Physics 2019-05-29 Marek Foltyn , Konrad Norowski , Alexander Savin , Maciej Zgirski

A current-biased low-temperature superconducting Josephson junction (JJ) is dynamically describable by the quantized motion of a fictitious particle in a "washboard" potential. The long coherence time of tightly-bound states in the…

Quantum Physics · Physics 2007-05-23 L. Fisch , I. E. Mazets , G. Kurizki

We study the emergence of dissipation in an atomic Josephson junction between weakly-coupled superfluid Fermi gases. We find that vortex-induced phase slippage is the dominant microscopic source of dissipation across the BEC-BCS crossover.…

Quantum Gases · Physics 2018-01-17 A. Burchianti , F. Scazza , A. Amico , G. Valtolina , J. A. Seman , C. Fort , M. Zaccanti , M. Inguscio , G. Roati

We investigate the quantum phase transitions in two capacitively coupled chains of ultra-small Josephson-junctions, with emphasis on the external charge effects. The particle-hole symmetry of the system is broken by the gate voltage applied…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Mahn-Soo Choi , M. Y. Choi , Taeseung Choi , Sung-Ik Lee

We analyze the magnetic and transport properties of a double quantum dot coupled to superconducting leads. In addition to the possible phase transition to a $\pi$ state, already present in the single dot case, this system exhibits a richer…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 F. S. Bergeret , A. Levy Yeyati , A. Martin-Rodero

A model of a superconducting tunnel junction coupled to a mechanical oscillator is studied at zero temperature in the case of linear coupling between the oscillator and tunneling electrons. It is found that the Josephson current flowing…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Jian-Xin Zhu , Z. Nussinov , A. V. Balatsky

The effect of quantum fluctuations on the current-voltage characteristics of Josephson junctions and superconducting nanowires is studied in the underdamped limit. Quantum fluctuations induce transitions between a Coulomb--blockade and a…

Mesoscale and Nanoscale Physics · Physics 2008-08-21 A. Zazunov , N. Didier , F. W. J. Hekking

Exploiting the recently derived quantum Smoluchowski equation the classical Ivanchenko Zil'berman theory for overdamped diffusive phase motion of low capacitance Josephson junctions is extended to the low temperature quantum domain where…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Joachim Ankerhold

Synchronization is a widespread phenomenon encountered in many natural and engineered systems with nonlinear classical dynamics. How synchronization concepts and mechanisms transfer to the quantum realm and whether features are universal or…

Mesoscale and Nanoscale Physics · Physics 2024-11-12 Florian Höhe , Lukas Danner , Ciprian Padurariu , Brecht I. C Donvil , Joachim Ankerhold , Björn Kubala

The ultimate spatial limit to establish a Josephson coupling between two superconducting electrodes is an atomic-scale junction. The Josephson effect in such ultrasmall junctions has been used to unveil new switching dynamics, study…

We study the Josephson junction made of a one-dimensional ultradilute quantum liquid in a double-well potential. We analyze the dynamics as a function of the interaction strength and compare the results to the standard bosonic Josephson…

Quantum Gases · Physics 2024-09-24 Piotr Wysocki , Krzysztof Jachymski , Grigori E. Astrakharchik , Marek Tylutki