Quantization of Quasinormal Modes for Open Cavities and Plasmonic Cavity Quantum Electrodynamics

Franke, Sebastian; Hughes, Stephen; Dezfouli, Mohsen Kamandar; Kristensen, Philip Trøst; Busch, Kurt; Knorr, Andreas; Richter, Marten

doi:10.1103/physrevlett.122.213901

Cited by 195 publications

(275 citation statements)

References 62 publications

Supporting

Mentioning

265

Contrasting

Order By: Relevance

“…As an alternative to methods related to the Green tensor, the QNMs have been used as input to single mode master equations [45,82,83,84]. The problem of full quantum models based on QNMs has been discussed by Ho et al [85], Dutra et al [86], Severini et al [87], and recently by Franke et al [88].…”

Section: Practical Applicationsmentioning

confidence: 99%

Modeling electromagnetic resonators using quasinormal modes

et al. 2020

Self Cite

View full text Add to dashboard Cite

We present a bi-orthogonal approach for modeling the response of localized electromagnetic resonators using quasinormal modes, which represent the natural, dissipative eigenmodes of the system with complex frequencies. For many problems of interest in optics and nanophotonics, the quasinormal modes constitute a powerful modeling tool, and the bi-orthogonal approach provides a coherent, precise, and accessible derivation of the associated theory, enabling an illustrative connection between different modeling approaches that exist in the literature.

show abstract

Section: Practical Applicationsmentioning

confidence: 99%

Modeling electromagnetic resonators using quasinormal modes

et al. 2020

Self Cite

View full text Add to dashboard Cite

show abstract

“…In that case, the system is expected to behave more "classically" so that low-order cumulant expansions could provide a better approximation than in the cases studied here, in particular under driving by external coherent laser pulses. Furthermore, the capability of the method to treat an arbitrary spectral density could be exploited to study emitter dynamics in systems that are not well-described by a single or few cavity modes, such as found in complex nanoplasmonic or hybrid plasmonic-dielectric structures [10][11][12][13]42 .…”

Section: Discussionmentioning

confidence: 99%

Cumulant expansion for the treatment of light–matter interactions in arbitrary material structures

Mónica

Silva

Feist

2020

The Journal of Chemical Physics

View full text Add to dashboard Cite

Strong coupling of quantum emitters with confined electromagnetic modes of nanophotonic structures may be used to change optical, chemical and transport properties of materials, with significant theoretical effort invested towards a better understanding of this phenomenon. However, a full theoretical description of both matter and light is an extremely challenging task. Typical theoretical approaches simplify the description of the photonic environment by describing it as a single or few modes. While this approximation is accurate in some cases, it breaks down strongly in complex environments, such as within plasmonic nanocavities, and the electromagnetic environment must be fully taken into account. This requires the quantum description of a continuum of bosonic modes, a problem that is computationally hard. We here investigate a compromise where the quantum character of light is taken into account at modest computational cost. To do so, we focus on a quantum emitter that interacts with an arbitrary photonic spectral density and employ the cumulant or cluster expansion method to the Heisenberg equations of motion up to first, second and third order. We benchmark the method by comparing with exact solutions for specific situations and show that it can accurately represent dynamics for many parameter ranges.Light-matter interaction is of paramount importance for unraveling the laws of nature and its deep understanding allows us to control and manipulate physical and chemical systems. In particular, one can modify the properties of a quantum emitter simply by changing its electromagnetic environment, for example by enclosing it within an optical cavity. This may give rise to a change of the decay rate for spontaneous emission in the weak coupling regime, the so-called Purcell effect 1 , or to the appearance of hybrid light-matter states, socalled polaritons, in the strong-coupling regime 2-5 . Over the last decades, it has been shown that strong light-matter coupling can be achieved using a large variety of physical implementations as the "cavity" that provides the electromagnetic field confinement. These include Fabry-Perot cavities consisting of two mirrors 5 , propagating surface plasmon polaritons 6 , plasmonic hole 7 and nanoparticle arrays 8 , isolated plasmonic nanoparticles 9 and nanoparticle-on-mirror geometries 10,11 , as well as hybrid cavities combining plasmonic and dielectric materials [12][13][14] . In many of these systems, the electromagnetic field modes are not well-described by isolated lossy cavity modes, and a correct treatment demands theoretical approaches that are able to deal with the complexity of the electromagnetic field modes and their spectrum.In principle, to treat the problem of light-matter interaction, one can rely on the most general theory that describes light and matter on equal footing, i.e., quantum electrodynamics (QED) 15 . However, treating all light and matter degrees of freedom in the systems described above in a quantum mechanical way is an intractable problem and approx...

show abstract

“…Note that a similar but not exactly the same matrix (if we ignore dispersion and the regularization of the far-field divergence) has been used for a second quantization scheme of modes in open photonic systems in Ref. [60].…”

Section: B Electromagnetic Systemsmentioning

confidence: 99%

Nonorthogonality constraints in open quantum and wave systems

Wiersig

2019

Phys. Rev. Research

View full text Add to dashboard Cite

It is known that the overlap of two energy eigenstates in a decaying quantum system is bounded from above by a function of the energy detuning and the individual decay rates. This is usually traced back to the positive definiteness of an appropriately defined decay operator. Here, we show that the weaker and more realistic condition of positive semi-definiteness is sufficient. We prove also that the bound becomes an equality for the case of single-channel decay. However, we show that the condition of positive semi-definiteness can be spoiled by quantum backflow. Hence, the overlap of quasibound quantum states subjected to outgoing-wave conditions can be larger than expected from the bound. A modified and less stringent bound, however, can be introduced. For electromagnetic systems, it turns out that a modification of the bound is not necessary due to the linear free-space dispersion relation. Finally, a geometric interpretation of the nonorthogonality bound is given which reveals that in this context the complex energy space can seen as a surface of constant negative curvature.

show abstract

Quantization of Quasinormal Modes for Open Cavities and Plasmonic Cavity Quantum Electrodynamics

Cited by 195 publications

References 62 publications

Modeling electromagnetic resonators using quasinormal modes

Modeling electromagnetic resonators using quasinormal modes

Cumulant expansion for the treatment of light–matter interactions in arbitrary material structures

Nonorthogonality constraints in open quantum and wave systems

Contact Info

Product

Resources

About