Influence of multi-exciton correlations on nonlinear polariton dynamics in semiconductor microcavities

Wen, Patrick Y.; Christmann, Gabriel; Baumberg, Jeremy J.; Nelson, Keith A.

doi:10.1088/1367-2630/15/2/025005

Cited by 36 publications

(30 citation statements)

References 36 publications

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“…However, this analytic achievement is not the end of the study on this model; it has in fact triggered more theoretical and experimental studies [6][7][8]. Explicitly, the Rabi model has been experimentally simulated in optical waveguides [9], superconducting circuit systems [10][11][12][13], and solid-state semiconductors [14][15][16][17][18], which provides a perfect test bed to explore the physics of light-matter interaction in the deep strong coupling regime. Another significance of the analytic achievement is that it offers some insight into the involved physics, e.g., the vacuum-induced Berry phase [19], and the quantum phase transition in the related multi-mode Rabi model, i.e., the spin-boson model [20,21], for which an exact solution is quite difficult to obtain, and a wellestablished approximate method is desirable.…”

Section: Introductionmentioning

confidence: 99%

Mean photon number dependent variational method to the Rabi model

Liu

Ying

et al. 2015

New J. Phys.

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We present a mean photon number dependent variational method, which works well in the whole coupling regime if the photon energy is dominant over the spin-flipping, to evaluate the properties of the Rabi model for both the ground state and excited states. For the ground state, it is shown that the previous approximate methods, the generalized rotating-wave approximation (only working well in the strong coupling limit) and the generalized variational method (only working well in the weak coupling limit), can be recovered in the corresponding coupling limits. The key point of our method is to tailor the merits of these two existing methods by introducing a mean photon number dependent variational parameter. For the excited states, our method yields considerable improvements over the generalized rotating-wave approximation. The variational method proposed could be readily applied to more complex models, for which it is difficult to formulate an analytic formula. by considering the RWA-type interaction in the reformulated Hamiltonian in the displaced oscillator basis. This scheme was named 'generalized RWA' (GRWA). Although the GRWA works well in a quite broad parameter regime, especially in the strong coupling regime, it does not work well in the weak coupling regime, especially for the positive detuning case. In addition, the mean photon number predicted by the GRWA is independent of the frequency of the two-level system, which is actually not true. As an improvement, a generalized variational method (GVM) [31,32] has been introduced, where the displacement of the displaced oscillator basis is determined by minimizing the ground state energy. Indeed, the GVM evidently improves the GRWA in the weak coupling regime with positive detuning, and yields a frequency dependent ground state mean photon number. However, for strong coupling and intermediate coupling regimes, the GVM is no longer applicable. Moreover the GVM is limited to the ground state.Obviously, the merit of the GRWA and the AA comes from the introduction of the displaced oscillator basis, which captures the essential physics in the large coupling regime. However, its disadvantage lies in fixing the displacement, which leads to a frequency independent mean photon number of the obtained ground state. On the contrary, the GVM frees the displacement, but it does not introduce the displaced oscillator basis and has been excessively simplified in the analytic treatment. In the present work, we combine the merits of the GRWA and the GVM to obtain a novel analytic method. We start from the GRWA formula but further introduce a mean photon number dependent variational method to determine the displacement. As a result, our approximation method is applicable in both weak and strong coupling regimes. In the weak coupling regime, it recovers the result of the GVM and in the strong coupling regime it recovers the GRWA. In the intermediate coupling, it provides a natural crossover from the GVM to the GRWA. This variational method is not only valid for the ground state, b...

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Section: Introductionmentioning

confidence: 99%

Mean photon number dependent variational method to the Rabi model

Liu

Ying

et al. 2015

New J. Phys.

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“…We find that our phenomenological model reproduces more closely the asymmetric intensities of off-diagonal peaks. The relative strength of the interaction constants is believed to reflect neglected contributions such as a frequency-dependent non-Markovian nature of exciton-exciton interaction (excitonexciton correlation) [15,29,30] and photon-assisted exchange interaction between polaritons that reinforces the repulsive interaction among the lower polaritons but that weakens the repulsive interaction among the upper polaritons [26,31].…”

Section: -11mentioning

confidence: 99%

“…Those researches revealed the importance of exciton-exciton interactions, excitation-induced dephasing (EID), and bound biexcitons in quantum wells. Recently, the 2DFT spectroscopy technique has been applied to semiconductor microcavity polaritons [15]. * naotomo.takemura@epfl.ch…”

Section: Introductionmentioning

confidence: 99%

Two-dimensional Fourier transform spectroscopy of exciton-polaritons and their interactions

et al. 2015

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We investigate polariton-polariton interactions in a semiconductor microcavity through two-dimensional Fourier transform (2DFT) spectroscopy. We observe, in addition to the lower-lower and the upper-upper polariton self-interactions, a lower-upper cross interaction. This appears as separated peaks in the on-diagonal and off-diagonal parts of 2DFT spectra. Moreover, we elucidate the role of the polariton dispersion through a fine structure in the 2DFT spectrum. Simulations, based on lower-upper polariton basis Gross-Pitaevskii equations including both self-and cross interactions, result in a 2DFT spectra in qualitative agreement with experiments.

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“…Interestingly, the direction 2 k pu − k pr enables the measurement of one-quantum or two-quantum signals, depending on the time ordering between 'pump' and 'probe' pulses [35,61]. Looking for signal in other directions such as 3 k pu − 2 k pr provides access to higher-order signal and correlations, as demonstrated with QW excitons [35] or exciton-polaritons [59].…”

Section: Partially Collinear Geometries (Pump-probe)mentioning

confidence: 99%

“…First phaseresolved FWM experiments were realised in the perspective of observing the polaritonic ghost branch [66,67], detecting signal in the 2k 2 − k 1 direction, in combination with heterodyne spectral interferometry. Using intrinsically phase-stable, pulse-shapingbased 2D spectroscopy [35], Wen et al were able to obtain two-quantum, three-quantum and four-quantum 2D spectra of polaritons, revealing polariton-polariton correlations up to the fourth order [59] -a higher order than previously observed in a simple QW system [100]. This work showed that MDCS can see signatures of the biexciton resonance in polariton-polariton interactions, a feature confirmed by the observation of a polaritonic Feshbach resonance [99].…”

Section: Semiconductor Microcavitiesmentioning

confidence: 99%

Multidimensional coherent optical spectroscopy of semiconductor nanostructures: a review

Nardin

2015

Semicond. Sci. Technol.

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Abstract. Multidimensional Coherent optical Spectroscopy (MDCS) is an elegant and versatile tool to measure the ultrafast nonlinear optical response of materials. Of particular interest for semiconductor nanostructures, MDCS enables the separation of homogeneous and inhomogeneous linewidths, reveals the nature of coupling between resonances, and is able to identify the signatures of many-body interactions. As an extension of transient Four-Wave Mixing (FWM) experiments, MDCS can be implemented in various geometries, in which different strategies can be used to isolate the FWM signal and measure its phase. I review and compare different practical implementations of MDCS experiments adapted to the study of semiconductor materials. The power of MDCS is illustrated by discussing experimental results obtained on semiconductor nanostructures such as quantum dots, quantum wells, microcavities, and layered semiconductors.

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Influence of multi-exciton correlations on nonlinear polariton dynamics in semiconductor microcavities

Cited by 36 publications

References 36 publications

Mean photon number dependent variational method to the Rabi model

Mean photon number dependent variational method to the Rabi model

Two-dimensional Fourier transform spectroscopy of exciton-polaritons and their interactions

Multidimensional coherent optical spectroscopy of semiconductor nanostructures: a review

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