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The Hamiltonian of a charge qubit, which consists of two Josephson junctions is found within well known quantum mechanical procedure. The inductance of the qubit is included from the very beginning. It allows a selfconsistent derivation of…

Superconductivity · Physics 2007-05-23 Ya. S. Greenberg , W. Krech

Current fluctuations are studied in a mesoscopic conductor using non-equilibrium Keldysh technique. We derive a general expression for the fluctuations in the presence of a time dependent voltage, valid for arbitrary relation between…

Condensed Matter · Physics 2007-05-23 B. L. Altshuler , L. S. Levitov , A. Yu. Yakovets

We study the quantum phase transition of the one-dimensional phase model in the presence of dissipative frustration, provided by an interaction of the system with the environment through two non-commuting operators. Such a model can be…

Statistical Mechanics · Physics 2018-04-25 Dominik Maile , Sabine Andergassen , Wolfgang Belzig , Gianluca Rastelli

In this work, we present two numerical methods to approximate solutions of systems of dissipative sine-Gordon equations that arise in the study of one-dimensional, semi-infinite arrays of Josephson junctions coupled through superconducting…

Numerical Analysis · Mathematics 2011-12-06 J. E. Macías-Díaz , S. Jerez-Galiano

We study a system of electrons moving on a noncommutative plane in the presence of an external magnetic field which is perpendicular to this plane. For generality we assume that the coordinates and the momenta are both noncommutative. We…

High Energy Physics - Theory · Physics 2008-11-26 B. Harms , O. Micu

Shallow, CNOT-efficient quantum circuits are crucial for performing accurate computational chemistry simulations on current noisy quantum hardware. Here, we explore the usefulness of non-iterative energy corrections, based on the method of…

Chemical Physics · Physics 2023-05-03 Ilias Magoulas , Francesco A. Evangelista

Optimal entrainment of a quantum nonlinear oscillator to a periodically modulated weak harmonic drive is studied in the semiclassical regime. By using the semiclassical phase reduction theory recently developed for quantum nonlinear…

Adaptation and Self-Organizing Systems · Physics 2020-01-28 Yuzuru Kato , Hiroya Nakao

We present a numerical path-integral iteration scheme for the low dimensional reduced density matrix of a time-dependent quantum dissipative system. Our approach simultaneously accounts for the combined action of a microscopically modelled…

Quantum Physics · Physics 2016-10-12 A. M. Barth , A. Vagov , V. M. Axt

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

In a recent experiment, Hirjibehedin {\it et al.} [Science {\bf 317}, 1199 (2007)] performed inelastic tunneling spectroscopy of a single iron atom absorbed on a nonmagnetic substrate. The observed steps in the differential conductance…

Mesoscale and Nanoscale Physics · Physics 2010-08-16 Björn Sothmann , Jürgen König

In this paper, we propose a conservative nonconforming virtual element method for the full stationary incompressible magnetohydrodynamics model. We leverage the virtual element satisfactory divergence-free property to ensure mass…

Numerical Analysis · Mathematics 2024-10-25 Xiaojing Dong , Yunqing Huang , Tianwen Wang

In this work we show how to complete some Hamilton-Jacobi solutions of linear, nonconservative classical oscillatory systems which appeared in the literature and we extend these complete solutions to the quantum mechanical case. In…

Quantum Physics · Physics 2016-10-07 A. de Souza Dutra , R. A. C. Correa , P. H. R. S. Moraes

We extend the scattering theory of the Josephson effect to include a coupling of the Josephson junction to a gapless electron reservoir in the normal state. By opening up the system with a quasiparticle escape rate $1/\tau$, the…

Superconductivity · Physics 2024-09-17 C. W. J. Beenakker

The simulation of non-Markovian quantum dynamics plays an important role in the understanding of charge and exciton dynamics in the condensed phase environment, and yet it remains computationally expensive on classical computers. We have…

Quantum Physics · Physics 2024-12-03 Peter L. Walters , Mohammad U. Sherazi , Fei Wang

Quasiparticle excitations adversely affect the performance of superconducting devices in a wide range of applications. They limit the sensitivity of photon detectors in astronomy, the accuracy of current sources in metrology, the cooling…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 D. Ristè , C. C. Bultink , M. J. Tiggelman , R. N. Schouten , K. W. Lehnert , L. DiCarlo

In a short superconducting nanowire connected to bulk superconducting leads, quantum phase slips behave as a system of linearly (as opposed to logarithmically) interacting charges. This system maps onto quantum mechanics of a particle in a…

Superconductivity · Physics 2008-09-10 S. Khlebnikov

Arrays of circuit cavities offer fascinating perspectives for exploring quantum many-body systems in a driven dissipative regime where excitation losses are continuously compensated by coherent input drives. Here we investigate a system…

Quantum Physics · Physics 2014-03-06 Robert Jirschik , Michael J. Hartmann

In close analogy to quantum electrodynamics, we derive a quantum field theory of Josephson plasma waves (JPWs) in layered superconductors (LSCs), which describes two types of interacting JPW bosonic quanta: one massive and the other…

Superconductivity · Physics 2007-05-23 Sergey Savel'ev , A. L. Rakhmanov , Franco Nori

We consider a circuit-QED setup that allows the induction and control of non-Markovian dynamics of a qubit. Non-Markovianity is enforced over the qubit by means of its direct coupling to a bosonic mode which is controllably coupled to other…

Quantum Physics · Physics 2015-03-13 P. C. Cárdenas , M. Paternostro , F. L. Semião

Encoding quantum information in quantum states with disjoint wave-function support and noise insensitive energies is the key behind the idea of qubit protection. While fully protected qubits are expected to offer exponential protection…