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Synchronization of oscillators is ubiquitous in nature. Often, the synchronized oscillators couple directly, yet in some cases synchronization can arise from their parametric interactions. Here, we theoretically predict and experimentally…

We investigate the quantum dynamics of a system of two coupled superconducting qubits under microwave irradiation. We find that, with the qubits operated at the charge co-degeneracy point, the quantum evolution of the system can be…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 G. S. Paraoanu

In this work, we explore the potential of spin-based integrated devices using polariton waveguides that form codirectional couplers. For suitable coupler parameters, a transfer of condensates between the arms of the coupler, occurs leading…

Mesoscale and Nanoscale Physics · Physics 2024-08-05 Elena Rozas , Alexey Yulin , Sebastian Klembt , Sven Höfling , María Dolores Martín , Luis Viña

The harmonic oscillator is one of the simplest physical systems but also one of the most fundamental. It is ubiquitous in nature, often serving as an approximation for a more complicated system or as a building block in larger models.…

Quantum Physics · Physics 2011-11-15 K. R. Brown , C. Ospelkaus , Y. Colombe , A. C. Wilson , D. Leibfried , D. J. Wineland

Dynamics of coupled spin-torque oscillators can be exploited for non-Boolean information processing. However, the feasibility of coupling large number of STOs with energy-efficiency and sufficient robustness towards parameter-variation and…

Disordered Systems and Neural Networks · Physics 2013-09-16 Mrigank Sharad , Deliang Fan , Karthik Yogendra , Kaushik Roy

Integrated photonics has enabled a wide class of chip-scale light sources and quantum technologies. Within this field, microresonator-based degenerate optical parametric oscillators (DOPOs) have gained prominence. Above a critical power…

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

Parametric amplification is essential for quantum measurement, enabling the amplification of weak microwave signals with minimal added noise. While Josephson-junction-based amplifiers have become standard in superconducting quantum…

Quantum Physics · Physics 2025-12-04 Danial Davoudi , Abdul Mohamed , Shabir Barzanjeh

An exactly soluble non-linear interaction Hamiltonian is proposed to study fundamental properties of the entanglement dynamics for a coupled non-linear oscillators. The time-evolved state is obtained analytically for initial products of two…

Quantum Physics · Physics 2007-05-23 L. Sanz , R. M. Angelo , K. Furuya

Optical parametric oscillators are widely-used pulsed and continuous-wave tunable sources for innumerable applications, as in quantum technologies, imaging and biophysics. A key drawback is material dispersion imposing the phase-matching…

Optics · Physics 2017-07-28 A. Ciattoni , A. Marini , C. Rizza , C. Conti

We investigate synchronization effects in quantum self-sustained oscillators theoretically using the micromaser as a model system. We use the probability distribution for the relative phase as a tool for quantifying the emergence of…

Quantum Physics · Physics 2016-12-21 C. Davis-Tilley , A. D. Armour

We derive an effective Hamiltonian that describes a cross-Kerr type interaction in a system involving a two-level trapped ion coupled to the quantized field inside a cavity. We assume a large detuning between the ion and field (dispersive…

Quantum Physics · Physics 2009-11-11 F. L. Semiao , A. Vidiella-Barranco

We study coupled quantum systems as the working media of thermodynamic machines. Under a suitable phase-space transformation, the coupled systems can be expressed as a composition of independent subsystems. We find that for the coupled…

Quantum Physics · Physics 2017-09-12 George Thomas , Manik Banik , Sibasish Ghosh

We report the observation of a parametric instability in the out-of-equilibrium steady state of two coupled Kerr microresonators coherently driven by a laser. Using a resonant excitation, we drive the system into an unstable regime, where…

Mesoscale and Nanoscale Physics · Physics 2020-08-26 N. Carlon Zambon , S. R. K. Rodriguez , A. Lemaitre , A. Harouri , L. Le Gratiet , I. Sagnes , P. St-Jean , S. Ravets , A. Amo , J. Bloch

Networks of coupled parametric resonators (parametrons) hold promise for parallel computing architectures. En route to realizing complex networks, we report an experimental and theoretical analysis of two coupled parametrons. In contrast to…

Mesoscale and Nanoscale Physics · Physics 2022-01-20 Toni L. Heugel , Oded Zilberberg , Christian Marty , R. Chitra , Alexander Eichler

We demonstrate a degenerate parametric oscillator in a silicon-nitride microresonator. We use two frequency-detuned pump waves to perform parametric four-wave mixing and operate in the normal group-velocity dispersion regime to produce…

Finding the ground states of the Ising Hamiltonian [1] maps to various combinatorial optimization problems in biology, medicine, wireless communications, artificial intelligence, and social network. So far no efficient classical and quantum…

Quantum Physics · Physics 2014-10-30 Alireza Marandi , Zhe Wang , Kenta Takata , Robert L. Byer , Yoshihisa Yamamoto

A full-quantum approach is used to study quantum nonlinear properties of a compound Michelson-Sagnac interferometer optomechanical system. The effective Hamiltonian shows that both dissipative and dispersive couplings possess imaginary- and…

Quantum Physics · Physics 2023-10-20 Wen-Quan Yang , Wei Niu , Yong-Hong Ma , Wen-Zhao Zhang

The dynamics of two traps with ultracold atoms and connected by Josephson type coupling, is shown to exhibit a transition from dispersive dynamics to localized coherent oscillations. This transition is controlled by coupling strength and…

Statistical Mechanics · Physics 2007-05-23 N. M. Bogoliubov , J. Timonen , M. B. Zvonarev

We explore the coherent dynamics in a small network of three coupled parametric oscillators and demonstrate the effect of frustration on the persistent beating between them. Since a single-mode parametric oscillator represents an analog of…