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From known phase diagram regions of different model Hamiltonians describing strongly correlated systems we deduced new domains of the ground state phase diagram of the same model by an unitary transformation. Different types of extended…

Strongly Correlated Electrons · Physics 2017-08-23 E Kovacs , Zs. Gulacsi

We report the parametric amplification of a microwave signal in a Kerr medium formed from superconducting qubits. Two mutually coupled flux qubits, embedded in the current antinode of a superconducting coplanar waveguide resonator, are used…

Superconductivity · Physics 2015-06-18 M. Rehak , P. Neilinger , M. Grajcar , G. Oelsner , U. Hubner , E. Ilichev , H. -G. Meyer

The dependence of quantum correlation of twin beams on the pump finesse of an optical parametric oscillator is studied with a semi-classical analysis. It is found that the phase-sum correlation of the output signal and idler beams from an…

General Relativity and Quantum Cosmology · Physics 2009-11-13 Dong Wang , Yana Shang , Xiaojun Jia , Changde Xie , Kunchi Peng

In this article we study synchronization of systems of homogeneous phase-coupled oscillators with plastic coupling strengths and arbitrary underlying topology. The dynamics of the coupling strength between two oscillators is governed by the…

Dynamical Systems · Mathematics 2016-02-24 Andrey Gushchin , Enrique Mallada , Ao Tang

We describe an opto-mechanical system in which the coupling between optical and mechanical degrees of freedom takes the form of a fully quantised third-order parametric interaction. Two physical realisations are proposed: a harmonically…

Quantum Physics · Physics 2009-06-19 C A Holmes , G J Milburn

Coherent quantum oscillators are basic physical systems both in quantum statistical physics and quantum thermodynamics. Their realizations in lab often involve solid-state devices sensitive to changes in ambient temperature. We represent…

Quantum Physics · Physics 2019-08-13 Michal Kolář , Artem Ryabov , Radim Filip

The creation of artificial gauge fields in neutral ultracold atom systems has opened the possibility to study the effects of spin-orbit coupling terms in clean environments. This work considers the multi-channel scattering properties of two…

Atomic Physics · Physics 2018-09-12 Su-Ju Wang , Q. Guan , D. Blume

We demonstrate the generation of quantum-correlated photon-pairs combined with the spectral filtering of the pump field by more than 95dB using Bragg reflectors and electrically tunable ring resonators. Moreover, we perform demultiplexing…

We propose two schemes to generate entanglement between a pair of mechanical oscillators using parametric amplification. In contrast to existing parametric drive-based protocols, both schemes operate in the steady-state. Using a detuned…

Quantum Physics · Physics 2015-06-18 Alex Szorkovszky , Aashish A. Clerk , Andrew C. Doherty , Warwick P. Bowen

Modulating the frequency of a harmonic oscillator at nearly twice its natural frequency leads to amplification and self-oscillation. Above the oscillation threshold, the field settles into a coherent oscillating state with a well-defined…

We investigate the quantum synchronization phenomena of two mechanical oscillators of different frequencies in two optomechanical systems under periodically modulating cavity detunings or driving amplitudes, which can interact mutually…

Quantum Physics · Physics 2018-10-24 Guo-jian Qiao , Hui-xia Gao , Hao-di Liu , X. X. Yi

We study optical parametric oscillations in Kerr-nonlinear microresonators, revealing an intricate solution space -- parameterized by the pump-to-signal conversion efficiency -- that arises from an interplay of nonlinear processes. Using a…

Optics · Physics 2021-09-13 Jordan R. Stone , Gregory Moille , Xiyuan Lu , Kartik Srinivasan

The ability to efficiently simulate a variety of interacting quantum systems on a single device is an overarching goal for digital and analog quantum simulators. In circuit quantum electrodynamical systems, strongly nonlinear…

Quantum Physics · Physics 2026-03-16 J. D. Koenig , G. Barbieri , F. Fani Sani , C. A. Potts , M. Kounalakis , G. A. Steele

In this work, we experimentally investigate the dynamics of pairs of opto-thermally driven, mechanically coupled, doubly clamped, silicon micromechanical oscillators, and numerically investigate the dynamics of the corresponding…

Pattern Formation and Solitons · Physics 2022-05-04 Aditya Bhaskar , Mark Walth , Richard H. Rand , Alan T. Zehnder

We demonstrate the elements of a coupled-resonator optical waveguide in a side-coupled Fabry-P\'erot configuration, and show that the coupling rate between adjacent waveguides can be widely tuned through the thermo-optic effect. The device…

The ability to coherently couple arbitrary harmonic oscillators in a fully-controlled way is an important tool to process quantum information. Coupling between quantum harmonic oscillators has previously been demonstrated in several…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 Eva Zakka-Bajjani , François Nguyen , Minhyea Lee , Leila R. Vale , Raymond W. Simmonds , José Aumentado

The rich dynamics and large Hilbert space of quantum harmonic oscillators make them natural candidates for hardware-efficient and error-correctable quantum information processing. However, implementing direct entangling operations between…

We investigate the strong coupling regime of a linear $x$-$x$ coupled harmonic oscillator system, by performing a direct diagonalization of the hamiltonian. It is shown that the $x$-$x$ coupled hamiltonian can be equivalently described by a…

Quantum Physics · Physics 2012-07-31 Vivishek Sudhir , Marco G. Genoni , Jinhyoung Lee , M. S. Kim

We describe theoretically the quantum properties of atype-II Optical Parametric Oscillator containing a birefringent plate which induces a linear coupling between the orthogonally polarized signal and idler beams and results in phase…

Quantum Physics · Physics 2007-05-23 Laurent Longchambon , Julien Laurat , Thomas Coudreau , Claude Fabre

We study the temporal evolution of a coherent state under the action of a parametric oscillator and a nonlinear Kerr-like medium. We make use of the interaction picture representation and use an exact time evolution operator for the time…

Quantum Physics · Physics 2015-07-22 R. Román-Ancheyta , M. Berrondo , J. Récamier