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Scalar field theory on a lattice falling freely into a 1+1 dimensional black hole is studied using both WKB and numerical approaches. The outgoing modes are shown to arise from incoming modes by a process analogous to a Bloch oscillation,…

High Energy Physics - Theory · Physics 2014-11-18 Ted Jacobson , David Mattingly

We study Hawking radiation as a phenomenon of tunneling through event horizons of charged torus-like as well as dilaton black holes involving cosmological constant based on Kerner and Mann's formulation. We obtain tunneling probabilities as…

General Relativity and Quantum Cosmology · Physics 2015-06-18 M. Sharif , Wajiha Javed

Hawking evaporation of Klein-Gordon and Dirac particles in a non-stationary Kerr-Newman space-time is investigated by using a method of generalized tortoise coordinate transformation. The location and the temperature of the event horizon of…

General Relativity and Quantum Cosmology · Physics 2021-10-20 S. Q. Wu , X. Cai

This work is devoted to the mathematical study of the Hawking effect for fermions in the setting of the collapse of a rotating charged star. We show that an observer who is located far away from the star and at rest with respect to the…

Analysis of PDEs · Mathematics 2009-03-25 Dietrich Häfner

We study the spectrum of created particles in two-dimensional black hole geometries for a linear, hermitian scalar field satisfying a Lorentz non-invariant field equation with higher spatial derivative terms that are suppressed by powers of…

High Energy Physics - Theory · Physics 2009-10-30 S. Corley , T. Jacobson

Using the complete classification of the bases in the rotating black hole background we separate superradiance from the Hawking effect. We first find that there is spontaneous particle creation for fermions by the potential outside the…

General Relativity and Quantum Cosmology · Physics 2023-10-17 De-Chang Dai , Dejan Stojkovic

In the usual picture of Hawking radiation, the emission is spontaneous; it is caused by nothing. In contrast, the radiation from the ringdown after a black-hole merger is caused dynamically by the fluctuations of the event horizon. We…

General Relativity and Quantum Cosmology · Physics 2024-11-05 Eyal Keshet , Inbar Shemesh , Jeff Steinhauer

To simulate the dynamics of massless Dirac fermions in curved spacetimes with one, two, and three spatial dimensions we construct tight-binding Hamiltonians with spatially varying hoppings. These models represent tilted Weyl semimetals…

Mesoscale and Nanoscale Physics · Physics 2022-12-14 Viktor Könye , Corentin Morice , Dmitry Chernyavsky , Ali G. Moghaddam , Jeroen van den Brink , Jasper van Wezel

We consider a toy model of interacting Dirac fermions in a 1+1 dimensional space time describing the exterior of a star collapsing to a blackhole. In this situation we give a rigorous proof of the {\em Hawking effect}, namely that under the…

Mathematical Physics · Physics 2013-10-07 Patrick Bouvier , Christian Gérard

We consider dynamical black hole formation from a collapsing fluid described by a symmetric and flat FRW metric. Using the Hamilton-Jacobi method the local Hawking temperature for the formed trapping/apparent horizon is calculated. The…

General Relativity and Quantum Cosmology · Physics 2016-01-04 Rudolf Baier , Stefan Stricker

We investigate the apparent thermality of Hawking radiation in the semi-classical limit of quantum black holes using the mean-field limit of a chiral spin-chain simulator, which models fermions propagating on a black hole space-time in the…

High Energy Physics - Theory · Physics 2026-03-16 Iason A. Sofos , Andrew Hallam , Jiannis K. Pachos

We study the Hawking process on lattices falling into static black holes. The motivation is to understand how the outgoing modes and Hawking radiation can arise in a setting with a strict short distance cutoff in the free-fall frame. We…

High Energy Physics - Theory · Physics 2016-08-25 Steven Corley , Ted Jacobson

Hawking effect of Dirac particles in a variable-mass Kerr space-time is investigated by using method of the generalized tortoise coordinate transformation. The location and the temperature of event horizon of the non-stationary Kerr black…

General Relativity and Quantum Cosmology · Physics 2017-02-08 Wu Shuang-Qing , Cai Xu

Floquet insulators are periodically driven quantum systems that can host novel topological phases as a function of the drive parameters. These new phases exhibit features reminiscent of fermion doubling in discrete-time lattice fermion…

Quantum Physics · Physics 2023-07-12 Thomas Iadecola , Srimoyee Sen , Lars Sivertsen

We investigate the emergence and detection of Hawking radiation (HR) in a 1D chiral spin chain model, where the gravitational collapse is simulated by a sudden quantum quench that triggers a horizon-inducing phase transition. While our…

Statistical Mechanics · Physics 2026-04-30 Nitesh Jaiswal , S. Shankaranarayanan

Hawking radiation is one of the quantum features of a black hole that can be understood as a quantum tunneling across the event horizon of the black hole, but it is quite difficult to directly observe the Hawking radiation of an…

The Hamiltonian of optical fields in a nonlinear dispersive fiber is studied. Quantum field fluctuations are spontaneously created close to an optical event horizon through the analog Hawking effect. The simplest model is considered for an…

General Relativity and Quantum Cosmology · Physics 2021-02-03 Juan David Rincon-Estrada , David Bermudez

It was proposed in \cite{Chu:2024qil} that a quantum black hole can be described by a quantum space configuration of a fuzzy sphere together with a half-filled Fermi sea. In this paper we propose that the tunneling of the fuzzy sphere…

High Energy Physics - Theory · Physics 2026-03-31 Chong-Sun Chu

We use Floquet theory and the High-Frequency expansion to derive an effective Hamiltonian for electrons coupled to an off resonant cavity mode, either in its vacuum or driven by classical light. For vacuum fields, we show that long-range…

Strongly Correlated Electrons · Physics 2025-08-14 Jules Sueiro , Gian Marcello Andolina , Marco Schirò

We consider the so-called Hopfield model for the electromagnetic field in a dielectric dispersive medium in a framework in which one allows a space-time dependence of microscopic parameters, aimed to a phenomenological description of a…

General Relativity and Quantum Cosmology · Physics 2016-01-08 F. Belgiorno , S. L. Cacciatori , F. Dalla Piazza
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