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We use a recently derived gauge-invariant formulation of the problem of a two-level system coupled to an optical cavity, to explore the transition between the weak, and the ultra-strong coupling regimes of light-matter interaction. We…

We utilize a discrete (sequential) measurement protocol to investigate quantum process tomography of a single two-level quantum system, with an unknown initial state, undergoing Rabi oscillations. The ignorance of the dynamical parameters…

We report here on a major improvement of the control and characterization capabilities of 14N nuclear spin of single NV centers in diamond, as well as on a new method that we have devised for characterizing quantum states, i.e. quantum…

Quantum Physics · Physics 2024-06-05 Abhishek Shukla , Boo Carmans , Michael Petrov , Daan Vrancken , Milos Nesladek

We explore the quantum-classical crossover in the behaviour of a quantum field mode. The quantum behaviour of a two-state system - a qubit - coupled to the field is used as a probe. Collapse and revival of the qubit inversion form the…

Quantum Physics · Physics 2009-03-24 M. J. Everitt , W. J. Munro , T. P. Spiller

Driving quantum systems periodically in time plays an essential role in the coherent control of quantum states. The rotating wave approximation (RWA) is a good approximation technique for weak and nearly-resonance driven fields. However,…

Quantum Physics · Physics 2021-07-07 Byoung-moo Ann , Wouter Kessels , Gary. A. Steele

We develop a systematic variational coherent-squeezed-state expansion for the ground state of the quantum Rabi model, which includes an additional squeezing effect with comparisons to previous coherent-state approach. For finite large ratio…

Quantum Physics · Physics 2020-03-25 Xiang-You Chen , Yu-Yu Zhang , Hang Zheng

The quantum Rabi model is in the scientific spotlight due to the recent theoretical and experimental progress. Nevertheless, a full-fledged classification of its coupling regimes remains as a relevant open question. We propose a spectral…

Quantum Physics · Physics 2017-07-27 Daniel Z. Rossatto , Celso J. Villas-Bôas , Mikel Sanz , Enrique Solano

We map a quantum Rabi ring, consisting of $N$ cavities arranged in a ring geometry, into an effective magnetic model containing the XY exchange and the Dzyaloshinskii Moriya (DM) interactions. The analogue of the latter is induced by an…

Quantum Physics · Physics 2022-10-27 Diego Fallas Padilla , Han Pu , Guo-Jing Cheng , Yu-Yu Zhang

We propose the quantum simulation of the quantum Rabi model in all parameter regimes by means of detuned bichromatic sideband excitations of a single trapped ion. We show that current setups can reproduce, in particular, the ultrastrong and…

Quantum Physics · Physics 2015-10-21 J. S. Pedernales , I. Lizuain , S. Felicetti , G. Romero , L. Lamata , E. Solano

Characterizing quantum critical states towards the thermodynamic limit is essential for understanding phases of matter. The power of quantum simulators for preparing the critical states relies crucially on the structure of quantum circuits…

Quantum Physics · Physics 2026-03-31 Mei Peng , Xu-Dan Xie , Dan-Bo Zhang

In this work, we analytically and numerically study the sideband transition dynamics of the driven quantum Rabi model (QRM). We focus in particular on the conditions when the external transverse drive fields induce first-order sideband…

Quantum Physics · Physics 2023-11-14 Byoung-moo Ann , Wouter Kessels , Gary A. Steele

Conditional quantum oscillations are investigated for quantum gate operations in superconducting flux qubits. We present an effective Hamiltonian which describes a conditional quantum oscillation in two-qubit systems. Rabi-type quantum…

Quantum Physics · Physics 2015-05-19 Ai Min Chen , Sam Young Cho

The quantum Rabi model (QRM) with linear coupling between light mode and qubit exhibits the analog of a second order phase transition for vanishing mode frequency which allows for criticality-enhanced quantum metrology in a few-body system.…

Quantum Physics · Physics 2022-07-25 Zu-Jian Ying , Simone Felicetti , Gang Liu , Daniel Braak

We propose a new treatment of the dynamics of a periodically time-dependent Liouvillian by mapping it onto a time-independent problem and give a systematic expansion for its effective Liouvillian. In the case of a two-level system, the…

Disordered Systems and Neural Networks · Physics 2007-05-23 B. Thimmel , P. Nalbach , O. Terzidis

We investigate the large $n$ asymptotics of the $n$-th eigenvalue for a class of unbounded self-adjoint operators defined by infinite Jacobi matrices with discrete spectrum. In the case of the quantum Rabi model we obtain the first three…

Mathematical Physics · Physics 2018-10-15 Anne Boutet de Monvel , Lech Zielinski

We investigate the dynamics of a strongly-driven, microwave-dressed, donor-bound electron spin qubit in silicon. A resonant oscillating magnetic field $B_1$ is used to dress the electron spin and create a new quantum system with a level…

We demonstrate the surprising integrability of the classical Hamiltonian associated to a spin 1/2 system under periodic external fields. The one-qubit rotations generated by the dynamical evolution is, on the one hand, close to that of the…

Quantum Physics · Physics 2007-05-23 Renato M. Angelo , Walter F. Wreszinski

The generalized rotating-wave approximation (GRWA) is presented for the two-qubit and cavity coipling system . The analytical expressions in the zeroth order approximation recover the previous adiabatic ones. The counterrotating-wave terms…

Quantum Physics · Physics 2015-01-14 Yu-Yu Zhang , Qing-Hu Chen

We realize a photonic analog simulator of the quantum Rabi model, based on light transport in femtosecond-laser-written waveguide superlattices, which provides an experimentally accessible testbed to explore the physics of light-matter…

Quantum Physics · Physics 2012-05-14 Andrea Crespi , Stefano Longhi , Roberto Osellame

We study theoretically the Rabi oscillations of a resonantly driven two-level system linearly coupled to a harmonic oscillator (vibrational mode) with frequency, \omega_0. We show that for weak coupling, \omega_p \ll \omega_0, where…

Mesoscale and Nanoscale Physics · Physics 2012-07-27 R. Glenn , M. E. Raikh
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