Collectively induced exceptional points of quantum emitters coupled to nanoparticle surface plasmons

Kuo, Po-Chen; Lambert, Neill; Miranowicz, Adam; Chen, Hong Bin; Chen, Guang Yin; Chen, Yueh-Nan; Nori, Franco

doi:10.1103/physreva.101.013814

Cited by 23 publications

(11 citation statements)

References 59 publications

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“…The advantages of EPs for applications remain a very active topic of research [16,[59][60][61][62][63][64][65][66][67][68][69][70][71][72] and correctly modelling noise and quantum jumps is fundamental to correctly adress the question of, e.g., EPs sensitivity. We believe that our work, showing explicitly the operational interpretation and the relation between classical and quantum EPs in terms of postselection and/or inefficient detectors, can stimulate more interest in experimental demonstrations of LEPs and their potential quantum applications, pointing out analogies and differences with respect to those studied for semiclassical HEPs.…”

Section: Discussionmentioning

confidence: 99%

Quantum exceptional points of non-Hermitian Hamiltonians and Liouvillians: The effects of quantum jumps

et al. 2019

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Exceptional points (EPs) are degeneracies of classical and quantum open systems, which are studied in many areas of physics including optics, optoelectronics, plasmonics, and condensed matter physics. In the semiclassical regime, open systems can be described by phenomenological effective non-Hermitian Hamiltonians (NHHs) capturing the effects of gain and loss in terms of imaginary fields. The EPs that characterize the spectra of such Hamiltonians (HEPs) describe the time evolution of a system without quantum jumps. It is well known that a full quantum treatment describing more generic dynamics must crucially take into account such quantum jumps. In a recent paper [Minganti et al., Phys. Rev. A 100, 062131 (2019)], we generalized the notion of EPs to the spectra of Liouvillian superoperators governing open system dynamics described by Linblad master equations. Intriguingly, we found that in situations where a classical to quantum correspondence exists, the two types of dynamics can yield different EPs. In a recent experimental work [Naghiloo et al. Nat. Phys. 15, 1232(2019], it was shown that one can engineer a non-Hermitian Hamiltonian in the quantum limit by postselecting on certain quantum jump trajectories. This raises an interesting question concerning the relation between Hamiltonian and Lindbladian EPs, and quantum trajectories. We discuss these connections by introducing a hybrid-Liouvillian superoperator, capable of describing the passage from an NHH (when one postselects only those trajectories without quantum jumps) to a true Liouvillian including quantum jumps (without postselection). Beyond its fundamental interest, our approach allows to efficiently discuss and analyze postselection on finite-efficiency detectors. CONTENTS

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Section: Discussionmentioning

confidence: 99%

Quantum exceptional points of non-Hermitian Hamiltonians and Liouvillians: The effects of quantum jumps

et al. 2019

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“…The phase transition of the PT -symmetry takes place around the border point G = (κ + γ)/2, which is termed as an exceptional point (EP) [78][79][80][81][82][83] as shown by the red line and blue point in the phase diagram. Note that this is a semiclassical EP, which corresponds to a spectral degeneracy of a non-Hermitian Hamiltonian.…”

Section: A Pt -Symmetrymentioning

confidence: 99%

Optomechanical dynamics in the $\mathcal{PT}$- and broken-$\mathcal{PT}$-symmetric regimes

Xu,

Lai,

Qian

et al. 2021

Preprint

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We theoretically study the dynamics of typical optomechanical systems, consisting of a passive optical mode and an active mechanical mode, in the PT -and broken-PT -symmetric regimes. By fully analytical treatments for the dynamics of the average displacement and particle numbers, we reveal the phase diagram under different conditions and the various regimes of both PT -symmetry and stability of the system. We find that by appropriately tuning either mechanical gain or optomechanical coupling, both phase transitions of the PT -symmetry and stability of the system can be flexibly controlled. As a result, the dynamical behaviors of the average displacement, photons, and phonons are radically changed in different regimes. Our study shows that PT -symmetric optomechanical devices can serve as a powerful tool for the manipulation of mechanical motion, photons, and phonons.

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“…These include effects like unidirectional invisibility [46], loss-induced transparency [7], band merging [47], optically induced atomic lattices [48] and improved lasing as mentioned earlier. The exceptional points (EPs) have emerged as a new design tool for engineering the response of optical systems, as near these points, light propagation has a strong parameter sensitivity, which is further affected by subtle changes in the initial condition [49]. Such behaviour is characteristic of classical and quantum catastrophes [50].…”

Section: Introductionmentioning

confidence: 99%

PT-symmetry and supersymmetry: interconnection of broken and unbroken phases

et al. 2021

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The broken and unbroken phases of P T and supersymmetry in optical systems are explored for a complex refractive index profile in the form of a Scarf potential, under the framework of supersymmetric quantum mechanics. The transition from unbroken to the broken phases of P T -symmetry, with the merger of eigenfunctions near the exceptional point is found to arise from two distinct realizations of the potential, originating from the underlying supersymmetry. Interestingly, in P T -symmetric phase, spontaneous breaking of supersymmetry occurs in a parametric domain, possessing non-trivial shape invariances, under reparametrization to yield the corresponding energy spectra. One also observes a parametric bifurcation behaviour in this domain. Unlike the real Scraf potential, in P T -symmetric phase, a connection between complex isospecrtal superpotentials and modified Korteweg-de Vries equation occurs, only with certain restrictive parametric conditions. In the broken P T -symmetry phase, supersymmetry is found to be intact in the entire parameter domain yielding the complex energy spectra, with zero-width resonance occurring at integral values of a potential parameter.

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Collectively induced exceptional points of quantum emitters coupled to nanoparticle surface plasmons

Cited by 23 publications

References 59 publications

Quantum exceptional points of non-Hermitian Hamiltonians and Liouvillians: The effects of quantum jumps

Quantum exceptional points of non-Hermitian Hamiltonians and Liouvillians: The effects of quantum jumps

Optomechanical dynamics in the $\mathcal{PT}$- and broken-$\mathcal{PT}$-symmetric regimes

PT-symmetry and supersymmetry: interconnection of broken and unbroken phases

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