Quantum-statistical approach to electromagnetic wave propagation and dissipation inside dielectric media and nanophotonic and plasmonic waveguides

Abstract

Quantum-statistical effects occur during the propagation of electromagnetic (EM) waves inside the dielectric media or metamaterials, which include a large class of nanophotonic and plasmonic waveguides with dissipation and noise. Exploiting the formal analogy between the Schrodinger equation and the Maxwell equations for dielectric linear media, we rigorously derive the effective Hamiltonian operator which describes such propagation. This operator turns out to be essentially non-Hermitian in general, and pseudo-Hermitian in some special cases. Using the density operator approach for general non-Hermitian Hamiltonians, we derive a master equation that describes the statistical ensembles of EM wave modes. The method also describes the quantum dissipative and decoherence processes which happen during the wave's propagation, and, among other things, it reveals the conditions that are necessary to control the energy and information loss inside the above-mentioned materials.

Based on seminars given at the Aston Institute of Photonic Technologies (AIPT), Birmingham, UK (November 2015)

References in corpus (21)

• Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
• Unidirectional Invisibility induced by PT-Symmetric Periodic Structures
• Coherent Perfect Absorbers: Time-reversed Lasers
• PT-symmetry breaking and laser-absorber modes in optical scattering systems
• PT-symmetric laser-absorber
• Quantum Illumination with Gaussian States
• Quantum Illumination at the Microwave Wavelengths
• Microwave Quantum Illumination
• Experimental realisation of quantum illumination
• Invisibility in PT-symmetric complex crystals
• Nonlinear suppression of time-reversals in PT-symmetric optical couplers
• Perfect Absorption in Ultrathin Epsilon-Near-Zero Metamaterials Induced by Fast-Wave Non-Radiative Modes
• Non-Hermitian quantum dynamics of a two-level system and models of dissipative environments
• Tunneling of Obliquely-Incident Waves through PT-Symmetric Epsilon-Near-Zero Bi-Layers
• Comparison and unification of non-Hermitian and Lindblad approaches with applications to open quantum optical systems
• Time correlation functions for non-Hermitian quantum systems
• Quantum entropy of systems described by non-Hermitian Hamiltonians
• Non-Hermitian Hamiltonians and stability of pure states
• Propagation of Electromagnetic Waves in Linear Media and Pseudo-Hermiticity
• Wavelength flattened directional couplers: a geometrical approach
• Embedding quantum systems with a non-conserved probability in classical environments

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• Sustainability of environment-assisted energy transfer in quantum photobiological complexes
• Evolution of a Non-Hermitian Quantum Single-Molecule Junction at Constant Temperature
• A comparative study on different non-Hermitian approaches for modeling open quantum systems
• Phase space formulation of density operator for non-Hermitian Hamiltonians and its application in quantum theory of decay
• Density operator approach to turbulent flows in plasma and atmospheric fluids
• Probability Bracket Notation for Probability Modeling
• Environment-assisted squeezing in a coherently driven non-Hermitian degenerate parametric oscillator