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We present a quantized quasinormal approach to rigorously describe coupled lossy resonators, and quantify the quantum coupling parameters as a function of distance between the resonators. We also make a direct connection between classical…

Quantum Physics · Physics 2022-03-11 Juanjuan Ren , Sebastian Franke , Stephen Hughes

It has recently become possible to encode the quantum state of superconducting qubits and the position of nanomechanical oscillators into the states of microwave fields. However, to make an ideal measurement of the state of a qubit, or to…

Mesoscale and Nanoscale Physics · Physics 2009-02-04 M. A. Castellanos-Beltran , K. D. Irwin , G. C. Hilton , L. R. Vale , K. W. Lehnert

We experimentally study the behavior of a parametrically pumped nonlinear oscillator, which is based on a superconducting \lambda /4 resonator, and is terminated by a flux-tunable SQUID. We extract parameters for two devices. In particular,…

We theoretically study the transparency and amplification of a weak probe field applied to the cavity in hy- brid systems formed by a driven superconducting circuit QED system and a mechanical resonator, or a driven optomechanical system…

Quantum Physics · Physics 2014-05-26 Hui Wang , Hui-Chen Sun , Jing Zhang , Yu-xi Liu

We present a study of the controllable nonlinear dynamics of a micromechanical beam coupled to a dc-SQUID (superconducting quantum interference device). The coupling between these systems places the modes of the beam in a highly nonlinear…

Mesoscale and Nanoscale Physics · Physics 2014-10-28 Lior Ella , D. Yuvaraj , Oren Suchoi , Oleg Shtempluk , Eyal Buks

We show how the Jaynes--Cummings--Rabi model of cavity quantum electrodynamics can be realized via an isomorphism to the Hamiltonian of a qubit inside a parametric amplifier cavity. This realization clears the way to observe the full…

Quantum Physics · Physics 2021-02-24 R. Gutiérrez-Jáuregui , G. S. Agarwal

Recently it has been demonstrated that the combination of weak-continuous position detection with detuned parametric driving can lead to significant steady-state mechanical squeezing, far beyond the 3 dB limit normally associated with…

Quantum Physics · Physics 2014-04-30 Alex Szorkovszky , Aashish A. Clerk , Andrew C. Doherty , Warwick P. Bowen

Experimental investigations of the nonlinear properties of superconducting niobium coplanar waveguide resonators are reported. The nonlinearity due to a current dependent kinetic inductance of the center conductor is strong enough to…

Superconductivity · Physics 2009-11-13 Erik A. Tholen , Adem Ergul , Evelyn M. Doherty , Frank M. Weber , Fabien Gregis , David B. Haviland

We investigate a network of coupled superconducting transmission line resonators, each of them made nonlinear with a capacitively shunted Josephson junction coupling to the odd flux modes of the resonator. The resulting eigenmode spectrum…

Superconductivity · Physics 2012-07-31 Martin Leib , Frank Deppe , Achim Marx , Rudolf Gross , Michael Hartmann

We consider a pair of quantum dot-based spin qubits that interact via microwave photons in a superconducting cavity, and that are also parametrically driven by separate external electric fields. For this system, we formulate a model for…

Quantum Physics · Physics 2024-10-04 V. Srinivasa , J. M. Taylor , J. R. Petta

We consider the superradiant transition of a generalized Tavis-Cummings model, where a number of two-level qubits are coupled to a dissipative cavity. The cavity is coherently driven through a parametric medium, and all-to-all interactions…

Quantum Gases · Physics 2025-09-03 Wen-Jie Geng , Yiwen Han , Wei Yi

Josephson parametric amplifiers (JPAs) approaching quantum-limited noise performance have been instrumental in enabling high fidelity readout of superconducting qubits and, recently, semiconductor quantum dots (QDs). We propose that the…

Coherent manipulation of a quantum system is one of the main themes in current physics researches. In this work, we design a circuit QED system with a tunable coupling between an artificial atom and a superconducting resonator while keeping…

Quantum Physics · Physics 2019-05-13 Qi-Kai He , D. L. Zhou

Using ideas from paracontrolled calculus, we prove local well-posedness of a renormalized version of the three-dimensional stochastic nonlinear wave equation with quadratic nonlinearity forced by an additive space-time white noise on a…

Analysis of PDEs · Mathematics 2021-06-23 Massimiliano Gubinelli , Herbert Koch , Tadahiro Oh

We develop a theory describing the transient transmission through noisy qubit-resonator systems with quadratic interactions as are found in superconducting and nanomechanical resonators coupled to solid-state qubits. After generalizing the…

Mesoscale and Nanoscale Physics · Physics 2023-05-17 Philipp M. Mutter , Guido Burkard

Ultracompact nonlinear optical devices utilizing two-dimensional (2D) materials and nanostructures are emerging as important elements of photonic circuits. Integration of the nonlinear material into a subwavelength cavity or waveguide leads…

High fidelity qubit readout is a cornerstone for quantum information protocols. In traditional superconducting qubit readout, a chain of microwave amplifiers and nonreciprocal components aid in detecting the qubit's state with tolerable…

Quantum Physics · Physics 2026-03-16 B. T. Miller , Lindsay Orr , A. Metelmann , F. Lecocq

In dispersive readout schemes, qubit-induced nonlinearity typically limits the measurement fidelity by reducing the signal-to-noise ratio (SNR) when the measurement power is increased. Contrary to seeing the nonlinearity as a problem, here…

Quantum Physics · Physics 2010-09-08 Maxime Boissonneault , J. M. Gambetta , Alexandre Blais

We present a new optomechanical device where the motion of a micromechanical membrane couples to a microwave resonance of a three-dimensional superconducting cavity. With this architecture, we realize ultrastrong parametric coupling, where…

Quantum Physics · Physics 2020-01-09 G. A. Peterson , S. Kotler , F. Lecocq , K. Cicak , X. Y. Jin , R. W. Simmonds , J. Aumentado , J. D. Teufel

I present a theoretical treatment of parametric scattering in strong coupling semiconductor microcavities to model experiments in which parametric oscillator behaviour has been observed. The model consists of a non-linear excitonic…

Optics · Physics 2009-11-06 D. M. Whittaker