$\mathcal{P}\mathcal{T}$ symmetry-protected exceptional cones and analogue Hawking radiation

Abstract

Non-Hermitian Hamiltonians, which effectively describe dissipative systems, and analogue gravity models, which simulate properties of gravitational objects, comprise seemingly different areas of current research. Here, we investigate the interplay between the two by relating parity-time-symmetric dissipative Weyl-type Hamiltonians to analogue Schwarzschild black holes emitting Hawking radiation. We show that the exceptional points of these Hamiltonians form tilted cones mimicking the behavior of the light cone of a radially infalling observer approaching a black hole horizon. We further investigate the presence of tunneling processes, reminiscent of those happening in black holes, in a concrete example model. We interpret the non-trivial result as the purely thermal contribution to analogue Hawking radiation in a Schwarzschild black hole. Assuming that our particular Hamiltonian models a photonic crystal, we discuss the concrete nature of the analogue Hawking radiation in this particular setup.

Accepted in New Journal of Physics 12+3 pages, 2+1 figures

References in corpus (20)

• Topological Photonics
• The Chiral Magnetic Effect
• Topological response in Weyl semimetals and the chiral anomaly
• Quantum trajectories and open many-body quantum systems
• Nonreciprocal Photon Transmission and Amplification via Reservoir Engineering
• Topological Hopf and chain link semimetal states and their application to Co2MnGa (Theory and Materials Prediction)
• Symmetry and Higher-Order Exceptional Points
• Symmetry-protected multifold exceptional points and their topological characterization
• Black hole and Hawking radiation by type-II Weyl fermions
• Non-Hermitian Topological Theory of Finite-Lifetime Quasiparticles: Prediction of Bulk Fermi Arc Due to Exceptional Point
• Spectral photonic lattices with complex long-range coupling
• Emergent Weyl spinors in multi-fermion systems
• From the adiabatic theorem of quantum mechanics to topological states of matter
• Simulating Exceptional Non-Hermitian Metals with Single-Photon Interferometry
• Realizing PT-symmetric non-Hermiticity with ultra-cold atoms and Hermitian multi-well potentials
• Classification of Exceptional Nodal Topologies Protected by $\mathcal{P}\mathcal{T}$ Symmetry
• Kubo formula for non-Hermitian systems and tachyon optical conductivity
• Hawking radiation of massive modes and undulations
• Angle-Resolved Thermal Emission Spectroscopy Characterization of Non-Hermitian Meta-Crystals
• Fall-to-the-centre as a $\mathcal{P}\mathcal{T}$ symmetry breaking transition

Cited by in corpus (7)

• Colloquium: Synthetic quantum matter in non-standard geometries
• Anisotropic optics and gravitational lensing of tilted Weyl fermions
• Duality between the quantum inverted harmonic oscillator and inverse square potentials
• Fractal Nodal Band Structures
• Analogue Hawking radiation as a tunneling in a two-level $\mathcal{P}\mathcal{T}$-symmetric system
• Thermodynamics of analogue black holes in a non-Hermitian tight-binding model
• Synthetic horizons in an atomic chain: Horizon-induced effects and connections to quantum Hall systems