Bloch oscillations in complex crystals with PT symmetry

Abstract

Bloch oscillations (BO) in complex lattices with PT symmetry are theoretically investigated with specific reference to optical BO in photonic lattices with gain/loss regions. Novel dynamical phenomena with no counterpart in ordinary lattices, such as non-reciprocal BO related to violation of the Friedel's law of Bragg scattering in complex potentials, are highlighted.

4 pages, 3 figures

Cited by in corpus (35)

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• Anti-Parity-Time Symmetric Optics via Flying Atoms
• Robust light transport in non-Hermitian photonic lattices
• Anomalous helical edge states in a non-Hermitian Chern insulator
• Non-Bloch band collapse and chiral Zener tunneling
• Nonlocal bright spatial solitons in defocusing Kerr media supported by PT symmetric potentials
• Causality and phase transitions in PT-symmetrical optical systems
• Parity-time symmetry breaking in magnetic systems
• Simultaneous Realization of Coherent Perfect Absorber and Laser by Zero-Index Media with both Gain and Loss
• Energy Observable for a Quantum System with a Dynamical Hilbert Space and a Global Geometric Extension of Quantum Theory
• PT-symmetry in optics beyond the paraxial approximation
• Perfect transmission scattering as a PT-symmetric spectral problem
• Localization, quantum resonances and ratchet acceleration in a periodically-kicked $\mathcal{P}\mathcal{T}$-symmetric quantum rotator
• Symmetry recovery of exceptional points and their dynamical encircling in a two-state system
• Non-adiabatic transitions through exceptional points in the band structure of a PT-symmetric lattice
• Attraction centers and PT-symmetric delta-functional dipoles in critical and supercritical self-focusing media
• Anomalous-order exceptional point and non-Markovian Purcell effect at threshold in one-dimensional continuum systems
• Localized Single Frequency Lasing States in a Finite Parity-Time Symmetric Resonator Chain
• Controlling decoherence via $\mathcal{P}\mathcal{T}$-symmetric non-Hermitian open quantum systems
• Experimental Observation of Partial Parity-Time Symmetry and Its Phase Transition with a Laser-Driven Cesium Atomic Gas
• Peregrine rogue waves in the nonlocal nonlinear Schrödinger equation with parity-time symmetric self-induced potential
• Cross-symmetric dipolar-matter-wave solitons in double-well chains
• Pyramid diffraction in parity-time-symmetric optical lattices
• The particle in a box in PT quantum mechanics and an electromagnetic analog
• Dynamical control of solitons in a parity-time-symmetric coupler by periodic management
• Study on Asymmetric Diffraction of Acoustic Parity-Time-Symmetric Gratings Using Rigorous Coupled-Wave Analysis
• Phase-controlled Optical PT symmetry and asymmetric light diffraction in one- and two-dimensional optical lattices
• Effects of non-uniform distributions of gain and loss in photonic crystals
• Stability boundaries of a Mathieu equation having PT symmetry
• Superoscillatory PT-symmetric potentials
• Classical-quantum correspondence for two-level pseudo-Hermitian systems
• Semi-localization transition driven by a single asymmetrical tunneling
• Transport characteristics of a $\mathcal{P}\mathcal{T}$-symmetric non-Hermitian system: Effect of environmental interaction
• Stability band structure for periodic states in periodic potentials