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An anharmonic oscillator when driven with a fast, frequency chirped voltage pulse can oscillate with either small or large amplitude depending on whether the drive voltage is below or above a critical value-a well studied classical…

Quantum Physics · Physics 2015-05-19 K. W. Murch , R. Vijay , I. Barth , O. Naaman , J. Aumentado , L. Friedland , I. Siddiqi

We study numerically the behavior of qubit coupled to a quantum dissipative driven oscillator (resonator). Above a critical coupling strength the qubit rotations become synchronized with the oscillator phase. In the synchronized regime, at…

Superconductivity · Physics 2008-01-10 O. V. Zhirov , D. L. Shepelyansky

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

Quantum oscillators with nonlinear driving and dissipative terms have gained significant attention due to their ability to stabilize cat-states for universal quantum computation. Recently, superconducting circuits have been employed to…

Quantum Physics · Physics 2024-07-29 Adrià Labay-Mora , Roberta Zambrini , Gian Luca Giorgi

In this book chapter we analyze the high excitation nonlinear response of the Jaynes-Cummings model in quantum optics when the qubit and cavity are strongly coupled. We focus on the parameter ranges appropriate for transmon qubits in the…

Mesoscale and Nanoscale Physics · Physics 2012-07-20 Eran Ginossar , Lev S. Bishop , S. M. Girvin

We study the dynamics of a mechanical resonator parametrically coupled to a driven dissipative quantum emitter in the ultra-strong coupling regime. We show that this regime is fully compatible with a semi-classical treatment, and we derive…

Quantum Physics · Physics 2019-01-16 Cyril Elouard , Benjamin Besga , Alexia Auffèves

In addition to their central role in quantum information processing, qubits have proven to be useful tools in a range of other applications such as enhanced quantum sensing and as spectrometers of quantum noise. Here we show that a…

Quantum Physics · Physics 2015-06-17 Maxime Boissonneault , A. C. Doherty , F. R. Ong , P. Bertet , D. Vion , D. Esteve , A. Blais

It is known that placing a mechanical oscillator in a superposition of coherent states allows, in theory, a measurement of a linear force whose sensitivity increases with the amplitude of the mechanical oscillations, a uniquely quantum…

Quantum Physics · Physics 2017-09-13 Kurt Jacobs , Radhakrishnan Balu , John D. Teufel

We have performed spectroscopic measurements of a superconducting qubit dispersively coupled to a nonlinear resonator driven by a pump microwave field. Measurements of the qubit frequency shift provide a sensitive probe of the intracavity…

Mesoscale and Nanoscale Physics · Physics 2015-03-17 F. R. Ong , M. Boissonneault , F. Mallet , A. Palacios-Laloy , A. Dewes , A. C. Doherty , A. Blais , P. Bertet , D. Vion , D. Esteve

Mechanical degrees of freedom are natural candidates for continuous-variable quantum information processing and bosonic quantum simulations. These applications, however, require the engineering of squeezing and nonlinearities in the quantum…

Quantum Physics · Physics 2023-12-27 Stefano Marti , Uwe von Lüpke , Om Joshi , Yu Yang , Marius Bild , Andraz Omahen , Yiwen Chu , Matteo Fadel

Nonequilibrium properties of correlated quantum matter are being intensively investigated because of the rich interplay between external driving and the many-body correlations. Of particular interest is the nonequilibrium behavior near a…

Strongly Correlated Electrons · Physics 2021-02-17 G. Zhang , C. -H. Chung , C. T. Ke , C. -Y. Lin , H. Mebrahtu , A. I. Smirnov , G. Finkelstein , H. U. Baranger

We demonstrate coherent control and measurement of a superconducting qubit coupled to a superconducting coplanar waveguide resonator with a dynamically tunable qubit-cavity coupling strength. Rabi oscillations are measured for several…

Superconductivity · Physics 2011-11-16 Anthony J. Hoffman , Srikanth J. Srinivasan , Jay M. Gambetta , Andrew A. Houck

We present a fast quantum entangling operation on superconducting qubits assisted by a resonator in the quasi-dispersive regime with a new effect --- the selective resonance coming from the amplified qubit-state-dependent resonator…

Quantum Physics · Physics 2014-03-04 Ming Hua , Fu-Guo Deng

We analyze the relaxation of a superconducting flux qubit during measurement. The qubit state is measured with a nonlinear oscillator driven across the threshold of bifurcation, acting as a switching dispersive detector. This readout scheme…

Superconductivity · Physics 2009-11-13 T. Picot , A. Lupascu , S. Saito , C. J. P. M. Harmans , J. E. Mooij

We study the dynamics of a nonlinear oscillator near the critical point where period-two vibrations are first excited with the increasing amplitude of parametric driving. Above the threshold, quantum fluctuations induce transitions between…

Quantum Physics · Physics 2015-08-12 Z. R. Lin , Y. Nakamura , M. I. Dykman

Autoresonance is a phase locking phenomenon occurring in nonlinear oscillatory system, which is forced by oscillating perturbation. Many physical applications of the autoresonance are known in nonlinear physics. The essence of the…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 L. A. Kalyakin

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

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

Quantum phase transitions play an important role in many-body systems and have been a research focus in conventional condensed matter physics over the past few decades. Artificial atoms, such as superconducting qubits that can be…

Quantum Physics · Physics 2015-05-26 M. Feng , Y. P. Zhong , T. Liu , L. L. Yan , W. L. Yang , J. Twamley , H. Wang

Developing fast, accurate and scalable techniques for quantum state readout is an active area in semiconductor-based quantum computing. Here, we present results on dispersive sensing of silicon corner state quantum dots coupled to…

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