Quasinormal-Mode Perturbation Theory for Dissipative and Dispersive Optomechanics

Primo, André G.; Carvalho, Natália C.; Kersul, Cauê M.; Frateschi, Newton C.; Wiederhecker, Gustavo S.; Alegre, Thiago P. Mayer

doi:10.1103/physrevlett.125.233601

Cited by 35 publications

(29 citation statements)

References 48 publications

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“…The graph in the presence ( g Γ ≠ 0) of dissipative coupling predicts a blueshift in the maximum Raman enhancement frequency in comparison with the graph in the absence ( g Γ = 0) of dissipative coupling. Adapted with permission from ref . Copyright 2020 APS.…”

Section: Non-hermitian Physics Of Nanoresonatorsmentioning

confidence: 99%

“…In this important work, non-Hermitian effects are neglected since the canonical Hamiltonian used in the theory neglects the coupling with the bosonic bath . Recently, the approach has been refined with non-Hermitian perturbation theory . The latter not only allows for an accurate evaluation of the frequency change of the optical mode due to the coupling with the mechanical mode but also accurately predicts a dissipative (non-Hermitian) coupling process (see Figure ), which leads to a variation of the line width of the Raman-active vibrational modes.…”

Section: Non-hermitian Physics Of Nanoresonatorsmentioning

confidence: 99%

“…Such a process cannot be precisely predicted with a Hermitian treatment of electromagnetic fields . Dissipative coupling may affect the optical cooling or amplification of a single molecule coupled to a plasmonic cavity Figure c shows theoretical predictions of the line width variation δΓ e of the vibrational mode of a molecule, as a function of the detuning between the driving laser and the plasmon resonance.…”

Section: Non-hermitian Physics Of Nanoresonatorsmentioning

confidence: 99%

See 2 more Smart Citations

Nanoscale Light Confinement: the Q’s and V’s

Gurioli

Lalanne

2021

ACS Photonics

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Microcavities and nanoresonators have the ability to strongly enhance many light−matter-interaction processes used in various applications in nano-optics. This enhancement is due to the resonant excitation of an electromagnetic mode that confines light in space (mode volume) and in time (quality factor). The confinement is not perfect and the modes, even dark ones, always leak some energy and have a finite lifetime. Their non-Hermitian character does significantly more than merely broadening the resonances. In this Perspective, we clarify the main difference between bound modes of Hermitian systems and leaky modes of non-Hermitian resonators, emphasizing the key existence of a spatially dependent phase factor as a signature of nonhermiticity. For decades, the phase factor has often be considered as puzzling or has even be ignored, although it plays a key role in the interpretation of many experiments on nanoscale resonant-mediated light−matter interaction, such as sensing with cavity perturbation, modification of the spontaneous emission rate, optomechanics, strong coupling, and so on. The situation has changed recently, to a point that nowadays a sound non-Hermitian formalism has been developed and freeware packages exist, helping analyze experiments that continuously push back the extraordinary limit offered by large fields for exploring matter with light.

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Section: Non-hermitian Physics Of Nanoresonatorsmentioning

confidence: 99%

Section: Non-hermitian Physics Of Nanoresonatorsmentioning

confidence: 99%

Section: Non-hermitian Physics Of Nanoresonatorsmentioning

confidence: 99%

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Nanoscale Light Confinement: the Q’s and V’s

Gurioli

Lalanne

2021

ACS Photonics

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“…We thus envision that the EPs can offer the robustness again the dephasing for quantum devices, including but not limited to highefficiency single-photon sources [90,91], nonlinear interaction at the single-photon level [92], and high-fidelity entanglement generation and transport [93,94]. Besides the nanophotonic structures, the quantum effects of EPs demonstrated in this work can also be implemented in other kind of platforms, such as superconducting [95,96], cavity optomechanics [97,98], and open cavity magnonic systems [30,99]. We believe that our work can provide insight into the effects of EPs in a wide range of quantum systems and harnessing the non-Hermiticity for building novel quantum devices.…”

Section: Discussionmentioning

confidence: 93%

Anomalous spontaneous emission dynamics at chiral exceptional points

Lu¹,

Zhao²,

Li³

et al. 2022

Preprint

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An open quantum system operated at the spectral singularities where dimensionality reduces, known as exceptional points (EPs), demonstrates distinguishing behavior from the Hermitian counterpart. Based on the recently proposed microcavity with exceptional surface (ES), we report and explain the peculiar quantum dynamics in atom-photon interaction associated with EPs: cavity transparency, decoherence suppression beyond the limitation of Jaynes-Cummings (JC) system, and the population trapping of lossy cavity. An analytical description of the local density of states (LDOS) for ES microcavity is derived from an equivalent cavity quantum electrodynamics (QED) model, which goes beyond the single-excitation approximation and allows exploring the quantum effects of EPs on multiphoton process by parametrizing the extended cascaded quantum master equation. It reveals that a square Lorentzian term in LDOS induced by second-order EPs interferes with the linear Lorentzian profile, giving rise to cavity transparency for atom with special transition frequency in the weak coupling regime. This additional contribution from EPs also breaks the limit on dissipation rate of JC system bounded by bare components, resulting in the decoherence suppression with anomalously small decay rate of the long-time dynamics and the Rabi oscillation. Remarkably, we find that the cavity population can be partially trapped at EPs, achieved by forming a bound dressed state in the limiting case of vanishing atom decay. Our work unveils the exotic phenomena unique to EPs in cavity QED systems, which opens the door for controlling light-matter interaction at the quantum level through non-Hermiticity, and holds great potential in building high-performance quantum-optics devices.

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“…The classical QNM theory in fact has been available and well received [35][36][37][38][39][40]. Various aspects of nano-optical theory including scattering [41], harmonic generation [42], coupled mode theory [43,44], perturbation theory [45,46], photon-emitter interaction [47,48] and field quantization [49,50] were revisited in the context of QNM theory. QNM theory has also been generalized to incorporate non-classical effects based on volumewise material description [51][52][53].…”

Section: Introductionmentioning

confidence: 99%

Quasinormal mode theory for nanoscale electromagnetism with quantum surface responses

Zhou,

Zhang,

Chen

2021

Preprint

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We report a self-consistent quasinormal mode theory for nanometer scale electromagnetism where the possible nonlocal and quantum effects are treated through quantum surface responses. With Feibelman's frequency-dependent d parameters to describe the quantum surface responses, we formulate the source-free Maxwell's equations into a generalized linear eigenvalue problem to define the quasinormal modes. We then construct an orthonormal relation for the modes and consequently unlock the powerful toolbox of modal analysis. The orthonormal relation is validated by the reconstruction of the full numerical results through modal contributions. Significant changes in the landscape of the modes are observed due to the incorporation of the quantum surface responses for a number of nanostructures. Our semi-analytical modal analysis enables transparent physical interpretation of the spontaneous emission enhancement of a dipolar emitter as well as the near-field and far-field responses of planewave excitations in the nanostructures.

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Quasinormal-Mode Perturbation Theory for Dissipative and Dispersive Optomechanics

Cited by 35 publications

References 48 publications

Nanoscale Light Confinement: the Q’s and V’s

Nanoscale Light Confinement: the Q’s and V’s

Anomalous spontaneous emission dynamics at chiral exceptional points

Quasinormal mode theory for nanoscale electromagnetism with quantum surface responses

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