Dipole-dipole interactions mediated by epsilon-and-mu-near-zero waveguide supercoupling [Invited]

Mahmoud, Ahmed M.; Liberal, Iñigo; Engheta, Nader

doi:10.1364/ome.7.000415

Cited by 37 publications

(31 citation statements)

References 47 publications

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“…In the last 10 years, research into RET has moved into many exciting directions-too numerous to cover in detail in a single review. For example, the enhancement and control of long-range, super-Coulombic RET in hyperbolic metamaterials is shown [267,268] and the influence of epsilon-and-mu-near-zero waveguide super-coupling on RET is considered [269]. Moreover, many research groups continue to unravel the nature of energy transfer within biological photosynthesis, with a special focus on the understanding of the roles that molecular vibrations may play in facilitating the process.…”

Section: Discussionmentioning

confidence: 99%

Resonance Energy Transfer: From Fundamental Theory to Recent Applications

2019

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Resonance energy transfer (RET), the transport of electronic energy from one atom or molecule to another, has significant importance to a number of diverse areas of science. Since the pioneering experiments on RET by Cario and Franck in 1922, the theoretical understanding of the process has been continually refined. This review presents a historical account of the post-Förster outlook on RET, based on quantum electrodynamics, up to the present-day viewpoint. It is through this quantum framework that the short-range, R −6 distance dependence of Förster theory was unified with the long-range, radiative transfer governed by the inverse-square law. Crucial to the theoretical knowledge of RET is the electric dipole-electric dipole coupling tensor; we outline its mathematical derivation with a view to explaining some key physical concepts of RET. The higher order interactions that involve magnetic dipoles and electric quadrupoles are also discussed. To conclude, a survey is provided on the latest research, which includes transfer between nanomaterials, enhancement due to surface plasmons, possibilities outside the usual ultraviolet or visible range and RET within a cavity.

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Section: Discussionmentioning

confidence: 99%

Resonance Energy Transfer: From Fundamental Theory to Recent Applications

2019

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“…Substituting expansion (33) into the partial differential equation (36) and comparing coefficients in powers of λ 1,2 , we obtaiṅ where D n,m = 2γ φ + γ 2 + κ 2 (n + m) + i∆. In the steadystate limit, we obtain a linear system of equations for coefficients c j n,m with nearest-neighbor coupling through the n and m indices.…”

Section: Appendix B: Exact Solution To Eq (2)mentioning

confidence: 99%

Ground-state cooling enabled by critical coupling and dark entangled states

2019

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We analyze the cooling of a mechanical resonator coupled to an ensemble of interacting twolevel systems via an open quantum systems approach. Using an exact analytical result, we find optimal cooling occurs when the phonon mode is critically coupled (γ ∼ g) to the two-level system ensemble. Typical systems operate in sub-optimal cooling regimes due to the intrinsic parameter mismatch (γ g) between the dissipative decay rate γ and the coupling factor g. To overcome this obstacle, we show that carefully engineering the coupling parameters through the strain profile of the mechanical resonator allows phonon cooling to proceed through the dark (subradiant) entangled states of an interacting ensemble, thereby resulting in optimal phonon cooling. Our results provide a new avenue for ground-state cooling and should be accessible for experimental demonstrations.

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“…In particular, waveguide sections filled with EMNZ media enable the perfect tunneling of electromagnetic waves (i.e., a transmission coefficient of unity for the two-port EMNZ scenario) independently of certain geometrical deformations of the transmission channel [45][46][47][48]. The decay of and interaction between QEs embedded within ENZ waveguides have also attracted the attention of the researchers [21,[49][50][51][52][53][54][55]. Interestingly, we find that multiport EMNZ waveguide hubs can also be utilized for the preparation of multi-qubit states via the methodology described in the previous section.…”

Section: Epsilon-and-mu-near-zero (Emnz) Two-dimensional (2d) Humentioning

confidence: 99%

“…Following the design of a two-port device presented in Ref. [55], the systems is designed by using two different photonic crystals, both constructed by using circular rods of radius !,! and relative permittivity !…”

Section: Epsilon-and-mu-near-zero (Emnz) Two-dimensional (2d) Humentioning

confidence: 99%

See 1 more Smart Citation

Multiqubit subradiant states in N -port waveguide devices: ε-and-μ-near-zero hubs and nonreciprocal circulators

Liberal

Engheta

2018

Phys. Rev. A

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Quantum emitters interacting through a waveguide setup has been proposed as a promising platform for basic research on light-matter interactions and quantum information processing. Here, we propose to augment waveguide setups with the use of multiport devices. Specifically, we demonstrate theoretically the possibility of exciting N-qubit subradiant, maximally entangled, states with the use of suitably designed N-port devices. Our general methodology is then applied based on two different devices: an epsilon-andmu-near-zero (EMNZ) waveguide hub and a nonreciprocal circulator. A sensitivity analysis is carried out in order to assess the robustness of the system against a number of nonidealities. These findings link and merge the designs of devices for quantum state engineering with classical communication network methodologies.

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Dipole-dipole interactions mediated by epsilon-and-mu-near-zero waveguide supercoupling [Invited]

Cited by 37 publications

References 47 publications

Resonance Energy Transfer: From Fundamental Theory to Recent Applications

Resonance Energy Transfer: From Fundamental Theory to Recent Applications

Ground-state cooling enabled by critical coupling and dark entangled states

Multiqubit subradiant states in N -port waveguide devices: ε-and-μ-near-zero hubs and nonreciprocal circulators

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