Jason Doukas

Entanglement and discord: accelerated observations of local and global modes.

We investigate the amount of entanglement and quantum discord extractable from a two mode squeezed state as considered from the viewpoint of two observers, Alice (inertial) and Rob (accelerated). We find that using localized modes produces qualitatively different correlation properties for large accelerations than do Unruh modes. Specifically, the entanglement undergoes a sudden death as a function of acceleration and the discord asymptotes to zero in the limit of infinite acceleration. We conclude that the previous Unruh mode analyses do not determine the acceleration dependent entanglement and discord degradation of a given quantum state.

A New Approach to Black Hole Quasinormal Modes: A Review of the Asymptotic Iteration Method

We discuss how to obtain black hole quasinormal modes (QNMs) using the asymptotic iteration method (AIM), initially developed to solve second-order ordinary differential equations. We introduce the standard version of this method and present an improvement more suitable for numerical implementation. We demonstrate that the AIM can be used to find radial QNMs for Schwarzschild, Reissner-Nordstrom (RN), and Kerr black holes in a unified way. We discuss some advantages of the AIM over the continued fractions method (CFM). This paper presents for the first time the spin 0, 1/2 and 2 QNMs of a Kerr black hole and the gravitational and electromagnetic QNMs of the RN black hole calculated via the AIM and confirms results previously obtained using the CFM. We also present some new results comparing the AIM to the WKB method. Finally we emphasize that the AIM is well suited to higher-dimensional generalizations and we give an example of doubly rotating black holes.

Loss of spin entanglement for accelerated electrons in electric and magnetic fields

Using an open quantum system we calculate the time dependence of the concurrence between two maximally entangled electron spins with one accelerated uniformly in the presence of constant electric and magnetic fields, and the other at rest and isolated from fields. We find at high Rindler temperature that the proper time for the entanglement to be extinguished is proportional to the inverse of the acceleration cubed.

Split fermion quasinormal modes

In this paper we use the conformal properties of the spinor field to show how we can obtain the fermion quasinormal modes for a higher-dimensional Schwarzschild black hole. These modes are of interest in so-called split fermion models, where quarks and leptons are required to exist on different branes in order to keep the proton stable. As has been previously shown, for brane-localized fields, the larger the number of dimensions the faster the black hole damping rate. Moreover, we also present the analytic forms of the quasinormal frequencies in both the large angular momentum and the large mode number limits.

Graviton emission from simply rotating Kerr―de Sitter black holes: Transverse traceless tensor graviton modes

In this article we present results for tensor graviton modes (in seven dimensions and greater,

Localized detection of quantum entanglement through the event horizon

n\ensuremath{\ge}3

Bulk dominated fermion emission on a Schwarzschild background

) for gray-body factors of Kerr\char21{}de Sitter black holes and for Hawking radiation from simply rotating (

Fermion excitations of a tense brane black hole

n+4

Asymptotic iteration method for spheroidal harmonics of higher-dimensional Kerr-(A)dS black holes

)-dimensional Kerr black holes. Although there is some subtlety with defining the Hawking temperature of a Kerr\char21{}de Sitter black hole, we present some preliminary results for emissions assuming the standard Hawking normalization and a Bousso-Hawking-like normalization.

Superconducting circuit boundary conditions beyond the dynamical Casimir effect

We present a completely localized solution to the problem of entanglement degradation in non-inertial frames. A two mode squeezed state is considered from the viewpoint of two observers, Alice (inertial) and Rob (accelerated), and a model of localized projective detection is used to study the amount of entanglement that they are able to extract from the initial state. The Unruh vacuum noise plays only a minor role in the degradation process. The dominant source of degradation is a mode mismatch between the mode of the squeezed state Rob observes and the mode he is able to detect from his accelerated frame. Leakage of the initial mode through Robs horizon places a limit on his ability to fully measure the state, leading to an inevitable degradation of entanglement that even in principle cannot be corrected by changing the hardware design of his detector.