Reissner-Nordstrm-de Sitter时空中的超辐射不稳定性

研究了带电标量场扰动下Reissner-Nordstrm-de Sitter时空的超辐射及其稳定性问题。采用经典散射理论推导出了产生超辐射的条件,通过数值计算研究了扰动场随时间的演化情况。研究结果表明,随着时间的演化,带电的标量场在晚期会出现增长,这就意味着Reissner-Nordstrm-de Sitter时空会出现不稳定性。最后证明了这种不稳定性是由超辐射所引起的。     

Accelerated Multi-Level Atoms in an Electromagnetic Vacuum and Fulling--Davies--Unruh Effect

We consider, from the point of view of a coaccelerated frame, a uniformly accelerated multi-level atom in interaction with vacuum quantum electromagnetic fields in the multi-polar coupling scheme, and calculate the rate of change of the atom＇s energy assuming a thermal bath at a finite temperature T in the Rindler wedge. Comparison with the spontaneous excitation rate of the atom calculated in the instantaneous inertial frame of the atom shows that both the inertial and coaccelerated observer would agree with each other only when the temperature of the thermal bath equals the FDU value TFDU = α/2π.     

Spontaneous Emission of an Atom in a Spacetime with Two Parallel Reflecting Boundaries

We consider an inertial two-level atom in interaction with a real massless scalar quantum field in a spacetime between two parallel reflecting plane boundaries, and calculate the contributions of vacuum fluctuations and radiation reaction to the rate of change of the atomic energy. Our results show that there exists a regime of the separation L between the two boundaries such that the excited atom＇s spontaneous emission is impossible. There also exist certain values of the atom＇s position such that the corrections due to the presence of boundaries balance each other, so that the atom＇s spontaneous emission rate is the same as if there were no boundaries at all.     

Spontaneous Excitation of an Accelerated Detector Interacting with a Massive Scalar Field and Unruh Effect

We study spontaneous excitation of both a static detector (modelled by a two-level atom) immersed in a thermal bath and a uniformly accelerated one in the Minkowski vacuum interacting with a real massive scalar field.Our results show that the mass of the scalar field manifests itself in the spontaneous excitation rate of the static detector in a thermal bath (and in vacuum) in the form of a selection rule for transitions among states of the detector.However,this selection rule disappears for the accelerated ones,demonstrating that an accelerated detector does not necessarily behave the same as an inertial one in a thermal bath.We find the imprint left by the mass is the appearance of a grey-body factor in the spontaneous excitation and de-excitation rates,which maintains the detailed balance condition between them and thus ensures a thermal equilibrium at the Unruh temperature the same as that of the massless case.We also analyze quantitatively the effect of the mass on the rate of change of the detector's energy and find that when the mass is very small,it only induces a small negative correction.However,when it is very large,it then exponentially damps the rate,thus essentially forbidding any transitions among states of the detector.     

Spontaneous Emission of an Inertial Multi-Level Atom in a Spacetime with a Reflecting Plane Boundary

We calculate the contributions of the vacuum fluctuations and radiation reaction to the rate of change of the mean atomic energy for a multi-level hydrogen atom in the multipolar coupling scheme in a spacetime with a reflecting boundary. Our results show that, due to the presence of the boundary, the polarizations of the atom in the parallel direction and in the normal direction are weighted differently in terms of their contributions to the spontaneous emission rate, which is an oscillating function of the atom distance from the boundary. The possible experimental implications of our result are briefly discussed.