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In this book chapter we analyze the high excitation nonlinear response of the Jaynes-Cummings model in quantum optics when the qubit and cavity are strongly coupled. We focus on the parameter ranges appropriate for transmon qubits in the…

Mesoscale and Nanoscale Physics · Physics 2012-07-20 Eran Ginossar , Lev S. Bishop , S. M. Girvin

We provide a thorough theoretical analysis of qubit state measurement in a setup where a driven, parametrically-coupled cavity system is directly coupled to the qubit, with one of the cavities having a weak Kerr nonlinearity. Such a system…

Mesoscale and Nanoscale Physics · Physics 2014-12-09 Saeed Khan , R. Vijay , I. Siddiqi , Aashish A. Clerk

We study the vacuum Rabi splitting of a qubit ultrastrongly coupled to a high-$Q$ cavity mode and a radiation reservoir. Three methods are employed: a numerically exact variational approach with a multiple Davydov ansatz, the rotating-wave…

Quantum Physics · Physics 2023-04-07 Yiying Yan , Tadele T. Ergogo , Zhiguo Lü , Lipeng Chen , JunYan Luo , Yang Zhao

We introduce a three qubit waveguide QED system to mimic the cavity-QED strong coupling regime of a probe qubit embedded in atom-like mirrors, which was realized in recent experiments. We then extend this system into the deep non-Markovian…

Quantum Physics · Physics 2021-09-22 Sofia Arranz Regidor , Stephen Hughes

Waveguide quantum electrodynamics (QED) provides a powerful framework for engineering quantum interactions, traditionally relying on periodic photonic arrays with continuous energy bands. Here, we investigate waveguide QED in a…

Quantum Physics · Physics 2026-04-27 Florian Bönsel , Flore K. Kunst , Federico Roccati

By modeling the coupling of multiple superconducting qubits to a single cavity in the circuit-quantum electrodynamics (QED) framework we find that it should be possible to observe superradiance and phase multistability using currently…

Quantum Physics · Physics 2015-05-19 Michael Delanty , Stojan Rebic , Jason Twamley

We present an analytical solution of the single photon quantum feedback in a cavity quantum electrodynamics system based on a half cavity set-up coupled to a structured continuum. The exact analytical expression we obtain allows us to…

The Jaynes-Cummings model, with and without the rotating wave approximation, is expressed in the conjugate variable representation and solved numerically by wave packet propagation. Both cases are then cast into systems of two coupled…

Quantum Physics · Physics 2015-05-13 Jonas Larson

Large single-atom cooperativity in quantum systems is important for quantum information processing. Here, we propose to exponentially enhance the single-atom cooperativity parameter by exploiting the strongly localized effect of modes in…

Quantum Physics · Physics 2025-09-08 Qian Bin , Ying Wu , Jin-Hua Gao , Aixi Chen , Franco Nori , Xin-You Lü

We describe a scheme for probing a gas of ultracold atoms trapped in an optical lattice and moving in the presence of an external potential. The probe is non-destructive and uses the existing lattice fields as the measurement device. Two…

Quantum Gases · Physics 2015-05-13 B. M. Peden , D. Meiser , M. L. Chiofalo , M. J. Holland

We describe a method to tune, in-situ, between transverse and longitudinal light-matter coupling in a hybrid circuit-QED device composed of an electron spin degree of freedom coupled to a microwave transmission line cavity. Our approach…

In cavity optomechanics, nanomechanical motion couples to a localized optical mode. The regime of single-photon strong coupling is reached when the optical shift induced by a single phonon becomes comparable to the cavity linewidth. We…

Mesoscale and Nanoscale Physics · Physics 2013-04-22 Max Ludwig , Amir H. Safavi-Naeini , Oskar Painter , Florian Marquardt

Coupling between molecules and vacuum photon fields inside an optical cavity has proven to be an effective way to engineer molecular properties, in particular reactivity. To ease the rationalization of cavity induced effects we introduce an…

Chemical Physics · Physics 2022-04-06 Rosario R. Riso , Tor S. Haugland , Enrico Ronca , Henrik Koch

We propose a cavity QED setup which implements a dissipative Lipkin-Meshkov-Glick model -- an interacting collective spin system. By varying the external model parameters the system can be made to undergo both first-and second-order quantum…

Quantum Physics · Physics 2008-05-07 S. Morrison , A. S. Parkins

A coherent coupling among different energy photons provided by nonlinear optical interaction is regarded as a photonic version of the Rabi oscillation. Cavity enhancement of the nonlinearity reduces energy requirement significantly and…

Phenomenological approaches to photon loss have long been the workhorse of cavity-QED, but prove inadequate in the presence of sufficiently broadband light-matter interactions. We present a rigorous and ab initio derivation of a quantum…

Quantum Physics · Physics 2025-08-01 Chris Gustin , Juanjuan Ren , Sebastian Franke , Stephen Hughes

The sustained intense experimental activity around atomic spectroscopy and the resulting high-precision measurements of atomic spectral lines attract interest in Lamb shift as a witness for noninertial effects in quantum systems. We…

Quantum Physics · Physics 2023-10-31 Navdeep Arya , Sandeep K. Goyal

Systems in the dispersive regime of cavity quantum electrodynamics (QED) are approaching the limits of validity of the dispersive approximation. We present a model which takes into account nonlinear corrections to the dressing of the atom…

Mesoscale and Nanoscale Physics · Physics 2008-06-18 Maxime Boissonneault , J. M. Gambetta , Alexandre Blais

The generalized rotating-wave approximation with counter-rotating interactions has been applied to a biased qubit-oscillator system. Analytical expressions are explicitly given for all eigenvalues and eigenstates. For a flux qubit coupled…

Quantum Physics · Physics 2013-07-23 Yu-Yu Zhang , Qing-Hu Chen , Yang Zhao

Cavity electro-(opto-)mechanics allows us to access not only single isolated but also multiple mechanical modes in a massive object. Here we develop a multi-mode electromechanical system in which a several membrane vibrational modes are…