Exact solutions of the generalized two-photon and two-qubit Rabi models

Peng, Jie; Ren, Zhongzhou; Guo, Guangjie; Ju, Guo-Xing; Guo, Xiaoyong

doi:10.1140/epjd/e2013-40183-5

Cited by 33 publications

(33 citation statements)

References 42 publications

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“…An analytical approach to find the spectrum of the QRM was discovered only in 2011 [40] (and has since been extended to multiple TLSs [41,42] and multiple bosonic modes [43]). But this solution is still based on conjectures and numerical calculations of transcendental (non-analytic) functions.…”

Section: Box 1 -Models For Light-matter Couplingmentioning

confidence: 99%

Ultrastrong coupling between light and matter

et al. 2019

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Ultrastrong coupling between light and matter has, in the past decade, transitioned from theoretical idea to experimental reality. It is a new regime of quantum light-matter interaction, going beyond weak and strong coupling to make the coupling strength comparable to the transition frequencies in the system. The achievement of weak and strong coupling has led to increased control of quantum systems and applications like lasers, quantum sensing, and quantum information processing. Here we review the theory of quantum systems with ultrastrong coupling, which includes entangled ground states with virtual excitations, new avenues for nonlinear optics, and connections to several important physical models. We also review the multitude of experimental setups, including superconducting circuits, organic molecules, semiconductor polaritons, and optomechanics, that now have achieved ultrastrong coupling. We then discuss the many potential applications that these achievements enable in physics and chemistry.

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Section: Box 1 -Models For Light-matter Couplingmentioning

confidence: 99%

Ultrastrong coupling between light and matter

et al. 2019

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“…Indeed, almost any analogue of processes from nonlinear optics is feasible 71 ; this can be regarded as an example of quantum simulation 72 , 73 . Just like the analytical solution for the quantum Rabi model 74 is now being extended to multiple qubits 75 , 76 , and multiple resonators 77 – 79 , we here extend the exploration of non-excitation-conserving processes to multiple resonators.…”

Section: Introductionmentioning

confidence: 99%

Frequency conversion in ultrastrong cavity QED

Kockum

Macrì

Garziano

et al. 2017

Sci Rep

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We propose a new method for frequency conversion of photons which is both versatile and deterministic. We show that a system with two resonators ultrastrongly coupled to a single qubit can be used to realise both single- and multiphoton frequency-conversion processes. The conversion can be exquisitely controlled by tuning the qubit frequency to bring the desired frequency-conversion transitions on or off resonance. Considering recent experimental advances in ultrastrong coupling for circuit QED and other systems, we believe that our scheme can be implemented using available technology.

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“…This approach revealed the emergence of counter-rotating terms in the interqubit coupling, which leads to both quantitative and qualitative differences in the interaction strength and interaction type. Compared with other approaches [11,12,16,17], our IRWA method allows us to gain the physical consequences of the co-rotating and counter-rotating coupling terms individually by tracing those terms separately. As a remark, there are several aspects that still can be explored with the idea of IRWA.…”

Section: Resultsmentioning

confidence: 99%

Bridging the gap between the Jaynes–Cummings and Rabi models using an intermediate rotating wave approximation

Wang

Haw

2015

Physics Letters A

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We present a novel approach called the intermediate rotating wave approximation (IRWA), which employs a time-averaging method to encapsulate the dynamics of light-matter interaction from strong to ultrastrong coupling regime. In contrast to the ordinary rotating wave approximation, this method addresses the co-rotating and counter-rotating terms separately to trace their physical consequences individually, and thus establishes the continuity between the Jaynes-Cummings model and the quantum Rabi model. We investigate IRWA in near resonance and large detuning cases. Our IRWA not only agrees well with both models in their respective coupling strengths, but also offers a good explanation for their differences.

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Exact solutions of the generalized two-photon and two-qubit Rabi models

Cited by 33 publications

References 42 publications

Ultrastrong coupling between light and matter

Ultrastrong coupling between light and matter

Frequency conversion in ultrastrong cavity QED

Bridging the gap between the Jaynes–Cummings and Rabi models using an intermediate rotating wave approximation

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