Two-photon lasing by a single quantum dot in a high-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>Q</mml:mi></mml:math>microcavity

Valle, Elena del; Zippilli, Stefano; Laussy, Fabrice P.; González-Tudela, Alejandro; Morigi, Giovanna; Tejedor, C.

doi:10.1103/physrevb.81.035302

Cited by 88 publications

(106 citation statements)

References 61 publications

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“…This two-photon QRM has also been studied for a long time with the RWA [26] and beyond the RWA [17,18,27]. It may describe the twophoton processes occurring in Rubidium atoms [28] and quantum dots [29].…”

Section: Extensions To the Two-photon Qrmmentioning

confidence: 99%

Exact solvability of the quantum Rabi model using Bogoliubov operators

et al. 2012

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The quantum Rabi model can be solved exactly by the Bargmann transformation from real coordinate to complex variable recently [Phys. Rev. Lett. 107, 100401 (2011)]. By the extended coherent states, we recover this solution in an alternative simpler and perhaps more physical way without uses of any extra conditions, like Bargmann conditions. In the same framework, the twophoton Rabi model are solved exactly by extended squeeze states. Transcendental functions have been derived with the similar form as those in one-photon model. Both extended coherent states and squeeze states are essentially Fock states in the space of the corresponding Bogoliubov operators. The present approach could be easily extended to study the exact solvability or integrability of various spin-boson systems with multi-level, even multi-mode.

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Section: Extensions To the Two-photon Qrmmentioning

confidence: 99%

Exact solvability of the quantum Rabi model using Bogoliubov operators

et al. 2012

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“…Finally, we consider a biexciton level scheme as described in Refs. [18,47,48], which is relevant in semiconductor quantum optics because it describes the typical level structure of quantum dots beyond the simplest two-level-system picture [49][50][51]. Focusing on a single polarization, it consists of a three-level scheme as depicted in the inset of Fig.…”

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confidence: 99%

Optimization of photon correlations by frequency filtering

2015

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“…It couples the two-level system to the cavity mode non-linearly and describes a threelevel system when the third state can be adiabatically eliminated. It may be realized for Rydberg atoms in microwave superconducting cavities [21,22] and quantum dots [23,24] . The two-photon QRM has also been studied for a long time both with the RWA [25] and beyond the RWA [26,27,28].…”

Section: Introductionmentioning

confidence: 99%

Two-photon Rabi model: analytic solutions and spectral collapse

Duan

Xie

Braak

et al. 2016

J. Phys. A: Math. Theor.

101

156

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Abstract. The two-photon quantum Rabi model with quadratic coupling is studied using extended squeezed states and we derive G-functions for Bargmann index q = 1/4 and 3/4. The simple singularity structure of the G-function allows to draw conclusions about the distribution of eigenvalues along the real axis. The previously found picture of the spectral collapse at critical coupling g c has to be modified regarding the low lying states, especially the ground state: We obtain a finite gap between ground state and the continuum of excited states at the collapse point. For large qubit splitting, also other low lying states may be separated from the continuum at g c . We have carried out a perturbative analysis allowing for explicit and simple formulae of the eigenstates. Interestingly, a vanishing of the gap between ground state and excited continuum at g c is obtained in each finite order of approximation. This demonstrates cleary the non-pertubative nature of the excitation gap. We corroborate these findings with a variational calculation for the ground state.

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Two-photon lasing by a single quantum dot in a high-Qmicrocavity

Cited by 88 publications

References 61 publications

Exact solvability of the quantum Rabi model using Bogoliubov operators

Exact solvability of the quantum Rabi model using Bogoliubov operators

Optimization of photon correlations by frequency filtering

Two-photon Rabi model: analytic solutions and spectral collapse

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