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Motivated by recent experiments with Josephson-junction circuits, we analyze the influence of various noise sources on the dynamics of two-level systems at optimal operation points where the linear coupling to low-frequency fluctuations is…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Yuriy Makhlin , Alexander Shnirman

Coupling an isolated emitter to a single mode of the electromagnetic field is now routinely achieved and well understood. Current efforts aim to explore the coherent dynamics of emitters coupled to several electromagnetic modes (EM).…

Non-linear effects on driven oscillations are important in many fields of physics, ranging from applied mechanics to optics. They are instrumental for quantum applications. A limitation is that the non-linearities known up to now are…

Mesoscale and Nanoscale Physics · Physics 2011-06-22 A. M. Hriscu , Yu. V. Nazarov

We study a system of two interacting, non-indentical quantum emitters driven by a coherent field. We focus on the particular condition of two-photon resonance and obtain analytical expressions for the stationary density matrix of the system…

Quantum Physics · Physics 2021-08-18 Alejandro Vivas-Viaña , Carlos Sánchez Muñoz

We investigate the stochastic resonance phenomenon in a physical system based on a tunnel diode. The experimental control parameters are set to allow the control of the frequency and amplitude of the deterministic modulating signal over an…

Statistical Mechanics · Physics 2009-10-31 Rosario N. Mantegna , Bernardo Spagnolo , Marco Trapanese

We analyze the quantum dynamics of two electromagnetic oscillators coupled in series to a voltage biased Josephson junction. When the applied voltage leads to a Josephson frequency across the junction which matches the sum of the two mode…

Mesoscale and Nanoscale Physics · Physics 2015-06-10 A. D. Armour , Björn Kubala , Joachim Ankerhold

We discuss the theory of linear and non-linear spectroscopy of an rf-SQUID coupled to a Josephson spectrometer. Recent experimental measurements on this system have shown a strongly non-linear absorption lineshape, whose current peak…

Mesoscale and Nanoscale Physics · Physics 2022-01-05 Olesia Dmytruk , R. H. Rodriguez , Ç. Ö. Girit , Marco Schiró

We study an autoresonant asymptotic behaviour for nonlinear oscillators under slowly changing frequency and amplitude of external driver. As a result we obtain formulas for threshold values of amplitude and frequency of the driver when…

Chaotic Dynamics · Physics 2018-02-20 O. M. Kiselev

By coupling a harmonic oscillator to a quantum system it is possible to perform a dispersive measurement that is quantum non-demolition (QND), with minimal backaction. A non-linear oscillator has the advantage of measurement gain, but what…

Mesoscale and Nanoscale Physics · Physics 2008-09-12 O. Naaman , J. Aumentado , L. Friedland , J. S. Wurtele , I. Siddiqi

The superconductor-insulator-superconductor Josephson junction is the fundamental nonlinear element of superconducting circuits. Connecting two junctions in series gives rise to higher-harmonic content in the total energy-phase relation,…

Superconducting circuits extensively rely on the Josephson junction as a nonlinear electronic element for manipulating quantum information and mediating photon interactions. Despite continuing efforts in designing anharmonic Josephson…

Quantum Physics · Physics 2020-02-26 Andrei Vrajitoarea , Ziwen Huang , Peter Groszkowski , Jens Koch , Andrew A. Houck

A nanomechanical resonator coupled to a tunnel junction is studied. The oscillator modulates the transmission of the junction, changing the current and the noise spectrum. The influence of the oscillator on the noise spectrum of the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 J. Wabnig , J. Rammer , A. L. Shelankov

We describe a superconducting circuit consisting of a Josephson junction in parallel with a quantum phase slip wire, which implements a Hamiltonian that is periodic in both charge and flux. This Hamiltonian is exactly diagonalisable in a…

Quantum Physics · Physics 2020-05-12 Dat Thanh Le , Arne Grimsmo , Clemens Müller , T. M. Stace

Superconducting electrical circuits can be used to study the physics of cavity quantum electrodynamics (QED) in new regimes, therefore realizing circuit QED. For quantum information processing and quantum optics, an interesting regime of…

Quantum Physics · Physics 2009-01-23 Maxime Boissonneault , J. M. Gambetta , Alexandre Blais

Non-perturbative phenomena in four-wave mixing spectra of semiconductors are studied using the exact solution of a widely used phenomenological non-linear equation of motion of the exciton polarization. It is shown that Coulomb interaction,…

Mesoscale and Nanoscale Physics · Physics 2015-06-02 Mikhail Erementchouk , Michael N. Leuenberger , L. J. Sham

Narrow line-widths and the possibility of enhanced spontaneous emission via coupling to microcavities make semiconductor quantum dots ideal for harnessing coherent quantum phenomena at the single photon level. So far, however, all…

Mesoscale and Nanoscale Physics · Physics 2007-07-26 A. Muller , E. B. Flagg , P. Bianucci , D. G. Deppe , W. Ma , J. Zhang , G. J. Salamo , C. K. Shih

We present a method for analyzing the phase noise of oscillators based on feedback driven high quality factor resonators. Our approach is to derive the phase drift of the oscillator by projecting the stochastic oscillator dynamics onto a…

Pattern Formation and Solitons · Physics 2015-10-28 Eyal Kenig , M. C. Cross

Circuit quantum electrodynamics (QED) has emerged as a promising platform for implementing quantum computation and simulation. Typically, junctions in these systems are of a sufficiently small size, such that only the lowest plasma…

Quantum Physics · Physics 2025-09-22 Andrey Grankin , Alicia J. Kollár , Mohammad Hafezi

We investigate resonance phenomena in a system consisting of a nanomagnet coupled to a Josephson junction under external periodic drive. The coupling in the system leads to appearance of additional resonance peaks whose properties depend on…

Superconductivity · Physics 2025-07-14 K. V. Kulikov , D. V. Anghel , M. Nashaat , M. Dolineanu , M. Sameh , Yu. M. Shukrinov

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