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Parametrically driven oscillators can emerge as a basis for the next generation of qubits. Classically, these systems exhibit two stable oscillatory states with opposite phases. Upon quantization, these states turn into a pair of closely…

Quantum Physics · Physics 2026-03-20 Foster Thompson , Daniel K. J. Boneß , Mark Dykman , Alex Kamenev

Despite an apparent progress in implementing individual solid-state qubits, there have been no experimental reports so far on multi-bit gates required for building a real quantum computer. Here we report a new circuit comprising two coupled…

Mesoscale and Nanoscale Physics · Physics 2010-04-20 Yu. A. Pashkin , T. Yamamoto , O. Astafiev , Y. Nakamura , D. V. Averin , J. S. Tsai

Recent advances in quantum electronics have allowed to engineer hybrid nano-devices comprising on chip a microwave electromagnetic resonator coupled to an artificial atom, a quantum dot. These systems realize novel platforms to explore…

Mesoscale and Nanoscale Physics · Physics 2014-07-25 Marco Schiró , Karyn Le Hur

Understanding the origin of phase synchronization between quantum self-sustained oscillators has garnered significant interest in recent years. In this work, we study phase synchronization in three settings: between two continuous-variable…

Quantum Physics · Physics 2025-06-03 Mohit Kumar , Bijay Kumar Agarwalla

Using recent dimensionality reduction techniques in large systems of coupled phase oscillators exhibiting bistability, we analyze complex macroscopic behavior arising when the coupling between oscillators is allowed to evolve slowly as a…

Adaptation and Self-Organizing Systems · Physics 2015-03-20 Per Sebastian Skardal , Dane Taylor , Juan G. Restrepo

Synchronization is a hallmark of collective behavior that emerges when nonlinear systems interact, spanning scales from mechanical oscillators to planetary orbits. As a universal phenomenon it underpins the study of complex systems and has…

Quantum Physics · Physics 2025-11-20 Jiarui Liu , Qiming Wu , Joel E. Moore , Hartmut Haeffner , Christopher W. Wächtler

We study the coupled-qubit oscillation driven by an oscillating field. When the period of the non-resonant mode is commensurate with that of the resonant mode of the Rabi oscillation, we show that the controlled-NOT (CNOT) gate operation…

Superconductivity · Physics 2010-01-11 Mun Dae Kim

The dynamics of the next quantum jump for a qubit [two level system] coupled to a readout resonator [damped driven harmonic oscillator] is calculated. A quantum mechanical treatment of readout resonator reveals non exponential short time…

Quantum Physics · Physics 2021-01-04 Massimo Porrati , Seth Putterman

Environmental influences on the dynamics of a coupled qubit-oscillator system are studied analytically. We investigate the case of a quasi-degenerate qubit within the ultra-strong coupling regime for which the qubit frequency is much…

Quantum Physics · Physics 2014-01-28 Shantanu Agarwal , Sayed M. Hashemi Rafsanjani , Joseph H. Eberly

In this paper we present a comprehensive analysis of the coherence phenomenon of two coupled dissipative oscillators. The action of a classical driving field on one of the oscillators is also analyzed. Master equations are derived for both…

Quantum Physics · Physics 2007-05-23 M. A. de Ponte , M. C. de Oliveira , M. H. Y. Moussa

We investigate the nonlinear response of an anharmonic monostable quantum mechanical resonator to strong external periodic driving. The driving thereby induces an effective bistability in which resonant tunneling can be identified. Within…

Other Condensed Matter · Physics 2007-05-23 V. Peano , M. Thorwart

Under certain conditions, the quantum delta-kicked harmonic oscillator displays quantum resonances. We consider an atom-optical realization of the delta-kicked harmonic oscillator, and present a theoretical discussion of the quantum…

Quantum Physics · Physics 2010-08-03 T. P. Billam , S. A. Gardiner

We propose a system for observing the correlated phase dynamics of two mesoscopic ensembles of atoms through their collective coupling to an optical cavity. We find a dynamical quantum phase transition induced by pump noise and cavity…

Quantum Physics · Physics 2024-12-02 Minghui Xu , D. A. Tieri , E. C. Fine , James K. Thompson , M. J. Holland

We study the dynamics of a symmetric two-level system strongly coupled to a broadened harmonic mode. Upon mapping the problem onto a spin-boson model with peaked spectral density, we show how analytic solutions can be obtained, at arbitrary…

Statistical Mechanics · Physics 2009-11-13 F. Nesi , M. Grifoni , E. Paladino

We examine the non-stationary evolution of a coupled qubit-transmission line-resonator system coupled to an external drive and the resonator environment. By solving the equation for a non-stationary resonator field, we determined the…

Quantum Physics · Physics 2015-05-30 G. P. Berman , A. A. Chumak , V. I. Tsifrinovich

A superconducting qubit in a waveguide behaves as a point-like nonlinear element. If irradiated with nearly resonant microwave pulses, the qubit undergoes quantum evolution and generates coherent fields at sideband frequencies due to…

Quantum Physics · Physics 2022-10-25 A. V. Vasenin , A. Yu. Dmitriev , S. V. Kadyrmetov , A. N. Bolgar , O. V. Astafiev

We show that a parametrically coupled qubit can be used to fully reconstruct the quantum state of a harmonic oscillator, even when both systems are subject to decoherence. By controlling the coupling strength of the qubit over time, the…

Quantum Physics · Physics 2011-09-13 Tommaso Tufarelli , M. S. Kim , Sougato Bose

We consider the non-equilibrium behavior of a central spin system where the central spin is periodically reset to its ground state. The quantum mechanical evolution under this effectively dissipative dynamics is described by a discrete-time…

Quantum Physics · Physics 2022-11-01 Albert Cabot , Federico Carollo , Igor Lesanovsky

We consider multiple-period states in systems of periodically modulated qubits. In such states the discrete time-translation symmetry imposed by the modulation is broken. We explicitly show how multiple-period states emerge in the simplest…

Quantum Physics · Physics 2019-10-03 M. I. Dykman

Self-sustained oscillators play a central role in the stabilization and synchronization of complex dynamical systems. A number of different physical systems are currently being investigated to clarify the importance of such active…

Mesoscale and Nanoscale Physics · Physics 2026-05-05 Cecilie Hermansen , Jens Paaske