Three-photon resonance and adiabatic passage in the large-detuning Rabi model

W., Ken K.; Law, C. K.

doi:10.1103/physreva.92.023842

Cited by 68 publications

(79 citation statements)

References 51 publications

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“…[52,53,55], the intermediate virtual transitions were adiabatically eliminated, relying on the approximation that the population of the intermediate levels will not change significantly if g j |ω n − ω m |. In this article, we follow the approach of Ref.…”

Section: B the Quantum Rabi Modelmentioning

confidence: 99%

“…6, is multiphoton Rabi oscillations between the states |0, e and |3, g with a single resonator coupled to a single qubit (ω q ≈ 3ω a ), a process studied in Refs. [52,53]. The Hamiltonian for the system is given by Eqs.…”

Section: B Multiphoton Rabi Oscillationsmentioning

confidence: 99%

“…Some previous [52][53][54] and concurrent [55,56] works explore processes in the USC regime where the number of excitations is not conserved, such as multiphoton Rabi oscillations [53] and a single photon exciting multiple atoms [54]. Several of these processes can be interpreted as analogues of nonlinear-optics phenomena.…”

Section: Introductionmentioning

confidence: 99%

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Deterministic quantum nonlinear optics with single atoms and virtual photons

et al. 2017

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We show how analogues of a large number of well-known nonlinear-optics phenomena can be realized with one or more two-level atoms coupled to one or more resonator modes. Through higher-order processes, where virtual photons are created and annihilated, an effective deterministic coupling between two states of such a system can be created. In this way, analogues of three-wave mixing, four-wave mixing, higher-harmonic and -subharmonic generation (i.e., up-and downconversion), multiphoton absorption, parametric amplification, Raman and hyper-Raman scattering, the Kerr effect, and other nonlinear processes can be realized. In contrast to most conventional implementations of nonlinear optics, these analogues can reach unit efficiency, only use a minimal number of photons (they do not require any strong external drive), and do not require more than two atomic levels. The strength of the effective coupling in our proposed setups becomes weaker the more intermediate transition steps are needed. However, given the recent experimental progress in ultrastrong light-matter coupling and improvement of coherence times for engineered quantum systems, especially in the field of circuit quantum electrodynamics, we estimate that many of these nonlinear-optics analogues can be realized with currently available technology.

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Section: B the Quantum Rabi Modelmentioning

confidence: 99%

Section: B Multiphoton Rabi Oscillationsmentioning

confidence: 99%

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Deterministic quantum nonlinear optics with single atoms and virtual photons

et al. 2017

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“…This quantum circuit is analogous to a cavity-QED system, where the flux qubit with its discrete anharmonic energy levels represents the artificial atom and the coplanar resonator the optical cavity (see figure 2). Recently it has been shown that this system paves the way to anomalous vacuum Rabi oscillations, where two or more photons are jointly and reversibly emitted and reabsorbed by the qubit [60,63].…”

Section: Two-photon Rabi Oscillationsmentioning

confidence: 99%

Output field-quadrature measurements and squeezing in ultrastrong cavity-QED

et al. 2016

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We study the squeezing of output quadratures of an electro-magnetic field escaping from a resonator coupled to a general quantum system with arbitrary interaction strengths. The generalized theoretical analysis of output squeezing proposed here is valid for all the interaction regimes of cavity-quantum electrodynamics: from the weak to the strong, ultrastrong, and deep coupling regimes. For coupling rates comparable or larger then the cavity resonance frequency, the standard input-output theory for optical cavities fails to calculate the variance of output field-quadratures and predicts a non-negligible amount of output squeezing, even if the system is in its ground state. Here we show that, for arbitrary interaction strength and for general cavity-embedded quantum systems, no squeezing can be found in the output-field quadratures if the system is in its ground state. We also apply the proposed theoretical approach to study the output squeezing produced by: (i) an artificial two-level atom embedded in a coherently-excited cavity; and (ii) a cascade-type three-level system interacting with a cavity field mode. In the latter case the output squeezing arises from the virtual photons of the atom-cavity dressed states. This work extends the possibility of predicting and analyzing the results of continuousvariable optical quantum-state tomography when optical resonators interact very strongly with other quantum systems. -+ ( )ˆ( ) x t x t , where + ( ) x t is the positive frequency component of the quadrature operator

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“…In RWA the excitation-number-nonconserving processes or virtual transitions have been excluded in calculations. Therefore the Jaynes-Cummings model cannot describe higher order resonant transitions via intermediate states connected by counter-rotating terms1718.…”

mentioning

confidence: 99%

A graph-theoretical representation of multiphoton resonance processes in superconducting quantum circuits

Jooya

Reihani

Chu

2016

Sci Rep

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We propose a graph-theoretical formalism to study generic circuit quantum electrodynamics systems consisting of a two level qubit coupled with a single-mode resonator in arbitrary coupling strength regimes beyond rotating-wave approximation. We define colored-weighted graphs, and introduce different products between them to investigate the dynamics of superconducting qubits in transverse, longitudinal, and bidirectional coupling schemes. The intuitive and predictive picture provided by this method, and the simplicity of the mathematical construction, are demonstrated with some numerical studies of the multiphoton resonance processes and quantum interference phenomena for the superconducting qubit systems driven by intense ac fields.

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Three-photon resonance and adiabatic passage in the large-detuning Rabi model

Cited by 68 publications

References 51 publications

Deterministic quantum nonlinear optics with single atoms and virtual photons

Deterministic quantum nonlinear optics with single atoms and virtual photons

Output field-quadrature measurements and squeezing in ultrastrong cavity-QED

A graph-theoretical representation of multiphoton resonance processes in superconducting quantum circuits

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