Photon Propagation through Linearly Active Dimers

Morales, José Delfino Huerta; Rodríguez-Lara, B. M.

doi:10.3390/app7060587

Cited by 7 publications

(3 citation statements)

References 20 publications

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“…However, from the engineering perspective, gain by itself might create instability issues and noise [163][164][165][166][167]. This also causes many difficulties in the realization of PT-symmetric quantum optics, because the gain becomes random at the few-photon level due to spontaneous emission [168][169][170].…”

Section: Passive Pt-symmetric Systems and Exceptional Pointsmentioning

confidence: 99%

Anomalies in light scattering

et al. 2019

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Scattering of electromagnetic waves lies at the heart of most experimental techniques over nearly the entire electromagnetic spectrum, ranging from radio waves to optics and X-rays. Hence, deep insight into the basics of scattering theory and understanding the peculiar features of electromagnetic scattering is necessary for the correct interpretation of experimental data and an understanding of the underlying physics. Recently, a broad spectrum of exotic scattering phenomena attainable in suitably engineered structures has been predicted and demonstrated.Examples include bound states in the continuum, exceptional points in -symmetrical non-Hermitian systems, coherent perfect absorption, virtual perfect absorption, nontrivial lasing, nonradiating sources and cloaking, and others. In this paper, we establish a unified description of such exotic scattering phenomena and show that the origin of all these effects can be traced back to the properties of the underlying scattering matrix. two or three dimensions. Maxwell's equations describing spatial and temporal evolution of electric ( , ) t Er and magnetic ( , ) t Hr fields for an arbitrary system are

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Section: Passive Pt-symmetric Systems and Exceptional Pointsmentioning

confidence: 99%

Anomalies in light scattering

et al. 2019

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“…Such lossy systems are also a promising candidate for observing PT -symmetric quantum optics across EPs of arbitrary order with appropriate post-selection [12]. In systems with both gain and loss, the inclusion of non-classical light requires the introduction of (quantum) fluctuations induced by the linear media either by Langevin equation [13][14][15] or Lindblad master equation [16][17][18] formalism. Indeed, the trace-preserving, steady-state generating Lindblad approach allows us to understand, in a more realistic way, the dynamics of optomechanical systems and, at the same time, the emergence of a non-Hermitian Hamiltonian in this approach.…”

Section: Introductionmentioning

confidence: 99%

$${\mathscr{PT}}$$ -symmetry from Lindblad dynamics in a linearized optomechanical system

Ávila

Ventura-Velázquez

León‐Montiel

et al. 2020

Sci Rep

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The optomechanical state transfer protocol provides effective, lossy, quantum beam-splitter-like dynamics where the strength of the coupling between the electromagnetic and mechanical modes is controlled by the optical steady-state amplitude. By restricting to a subspace with no losses, we argue that the transition from mode-hybridization in the strong coupling regime to the dampeddynamics in the weak coupling regime, is a signature of the passive parity-time (PT ) symmetry breaking transition in the underlying non-Hermitian quantum dimer. We compare the dynamics generated by the quantum open system (Langevin or Lindblad) approach to that of the PTsymmetric Hamiltonian, to characterize the cases where the two are identical. Additionally, we numerically explore the evolution of separable and correlated number states at zero temperature as well as thermal initial state evolution at room temperature. Our results provide a pathway for realizing non-Hermitian Hamiltonians in optomechanical systems at a quantum level.

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“…We emphasize that these realizations are essentially classical. Gain at few-photons level is random due to spontaneous emission [25,26]; in contrast, loss is linear down to single-photon level. Thus, engineering a truly quantum PT -symmetric systems is fundamentally difficult.…”

Section: Introductionmentioning

confidence: 99%

Passive parity-time-symmetry-breaking transitions without exceptional points in dissipative photonic systems [Invited]

Joglekar

Harter

2018

Photon. Res.

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Over the past decade, parity-time (PT )-symmetric Hamiltonians have been experimentally realized in classical, optical settings with balanced gain and loss, or in quantum systems with localized loss. In both realizations, the PT -symmetry breaking transition occurs at the exceptional point of the non-Hermitian Hamiltonian, where its eigenvalues and the corresponding eigenvectors both coincide. Here, we show that in lossy systems, the PT transition is a phenomenon that broadly occurs without an attendant exceptional point, and is driven by the potential asymmetry between the neutral and the lossy regions. With experimentally realizable quantum models in mind, we investigate dimer and trimer waveguide configurations with one lossy waveguide. We validate the tight-binding model results by using the beam propagation method analysis. Our results pave a robust way toward studying the interplay between passive PT transitions and quantum effects in dissipative photonic configurations. OCIS codes:(080.1238) Array waveguide devices; (270.5585) Quantum information and processing. http://dx.

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Photon Propagation through Linearly Active Dimers

Cited by 7 publications

References 20 publications

Anomalies in light scattering

Anomalies in light scattering

$${\mathscr{PT}}$$ -symmetry from Lindblad dynamics in a linearized optomechanical system

Passive parity-time-symmetry-breaking transitions without exceptional points in dissipative photonic systems [Invited]

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