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Synchronization is a universal phenomenon that is important both in fundamental studies and in technical applications. Here we investigate synchronization in the simplest quantum-mechanical scenario possible, i.e., a quantum-mechanical…

Mesoscale and Nanoscale Physics · Physics 2014-04-02 Stefan Walter , Andreas Nunnenkamp , Christoph Bruder

We propose a method to parametrically excite low frequency collective modes in an interacting many body system using a Floquet driving at optical frequencies with a modulated amplitude. We demonstrate that it can be used to design plasmonic…

Strongly Correlated Electrons · Physics 2025-04-18 Egor I. Kiselev , Mark S. Rudner , Netanel H. Lindner

We study decoherence of a field-driven qubit in the presence of environmental noises. For a general qubit, we find that driving, whether on-resonance or off-resonance, alters the qubit decoherence rates (including dissipation and pure…

Quantum Physics · Physics 2014-09-19 Jun Jing , Peihao Huang , Xuedong Hu

We present a general theoretical approach for the quantitative description of parametric excitation of spin-wave modes in confined micromagnetic systems. This type of problem belongs to a broader class of nonlinear modal dynamics that arise…

Mesoscale and Nanoscale Physics · Physics 2026-01-13 Massimiliano d'Aquino , Salvatore Perna , Hugo Merbouche , Grégoire De Loubens

The generation of continuous-variable multipartite entangled states is important for several protocols of quantum information processing and communication, such as one-way quantum computation or controlled dense coding. In this article we…

The periodic modulation of an oscillator's frequency can lead to so-called parametric oscillations at half the driving frequency, which display bistability between two states whose phases differ by \pi. Such phase-locking bistability is at…

Pattern Formation and Solitons · Physics 2018-04-25 Rubén Martínez-Lorente , Fernando Silva , Germán J. de Valcárcel

We have investigated the driven dynamics of a superconducting flux qubit that is tunably coupled to a microwave resonator. We find that the qubit experiences an oscillating field mediated by off-resonant driving of the resonator, leading to…

We discuss in detail a well known method for obtaining the frequencies of the normal modes of coupled harmonic oscillators that is based on the simultaneous diagonalization of two symmetric matrices. We apply it to some simple illustrative…

Classical Physics · Physics 2023-11-23 Francisco M. Fernández

We present the experimental discovery of multiple simultaneous degeneracies in the spectrum of a Kerr oscillator subjected to a squeezing drive. This squeezing, in combination with the Kerr interaction creates an effective static two-well…

Quantum van der Pol oscillators are driven-dissipative systems displaying quantum synchronization phenomena. When forced by a squeezed drive, the frequency adjusts to half of the forcing displaying multiple preferred phases. Here we analyze…

Quantum Physics · Physics 2021-10-26 Albert Cabot , Gian Luca Giorgi , Roberta Zambrini

The resonances of forced dynamical systems occur when either the amplitude of the frequency response undergoes a local maximum (amplitude resonance) or phase lag quadrature takes places (phase resonance). This study focuses on the phase…

Dynamical Systems · Mathematics 2021-08-25 Martin Volvert , Gaetan Kerschen

When the coupling rate between two quantum systems becomes as large as their characteristic frequencies, it induces dramatic effects on their dynamics and even on the nature of their ground state. The case of a qubit coupled to a harmonic…

In this paper we analyze the quantum uncertainties and the photon statistics in the interaction between the two modes of radiation by treating them as coupled harmonic oscillator with the motivation of controlling quantum properties of one…

atom-ph · Physics 2010-12-14 Abir Bandyopadhyay , Jagdish Rai

We investigate a resonantly modulated harmonic mode, dispersively coupled to a nonequilibrium few-level quantum system. We focus on the regime where the relaxation rate of the system greatly exceeds that of the mode, and develop a quantum…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 Z. Maizelis , M. Rudner , M. I. Dykman

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

Using the parametrically driven harmonic oscillator as a working example, we study two different Markovian approaches to the quantum dynamics of a periodically driven system with dissipation. In the simpler approach, the driving enters the…

Quantum Physics · Physics 2009-10-31 Sigmund Kohler , Thomas Dittrich , Peter Hänggi

We demonstrate that magnetic oscillations of a current-biased magnetic nanocontact can be parametrically excited by a microwave field applied at twice the resonant frequency of the oscillation. The threshold microwave amplitude for the…

Materials Science · Physics 2015-05-20 Sergei Urazhdin , Vasyl Tiberkevich , Andrei Slavin

Inspired by creation of a fast exchange-only qubit (Medford et al., Phys. Rev. Lett., 111, 050501 (2013)), we develop a theory describing the nonlinear dynamics of two such qubits that are capacitively coupled, when one of them is driven…

Mesoscale and Nanoscale Physics · Physics 2014-02-18 Arijeet Pal , Emmanuel I. Rashba , Bertrand I. Halperin

We address the problem of determining whether or not a harmonic oscillator has been perturbed by an external force. Quantum detection and estimation theory has been used in devising optimum measurement schemes. Detection probability has…

Quantum Physics · Physics 2015-06-26 Matteo G. A. Paris

Nonautonomous driving of an oscillator has been shown to enlarge the Arnold tongue in parameter space, but little is known about the analogous effect for a network of oscillators. To test the hypothesis that deterministic nonautonomous…

Adaptation and Self-Organizing Systems · Physics 2019-01-16 Maxime Lucas , Duccio Fanelli , Aneta Stefanovska