理論セミナー

日時: 2013-07-17 14:00 - 15:00
場所: 研究本館3階セミナー室322
会議名: Detectors for probing relativistic quantum physics beyond perturbation theory
連絡先: 森田 辰弥、morita-AT-post.kek.jp
講演者: Dr. Eduardo Martin-Martinez  ((Institute For Quantum Computing, University of Waterloo))
講演言語: 英語
アブストラクト: We develop a general formalism for a non-perturbative treatment of harmonic-oscillator particle detectors in relativistic quantum field theory using continuous-variables techniques. By means of this we forgo perturbation theory altogether and reduce the complete dynamics to a readily solvable set of first-order, linear differential equations. The formalism applies unchanged to a wide variety of physical setups, including arbitrary detector trajectories, any number of detectors, arbitrary time-dependent quadratic couplings, arbitrary Gaussian initial states, and a variety of background spacetimes. As a first set of concrete results, we prove non-perturbatively--and without invoking Bogoliubov transformations--that an accelerated detector in a cavity evolves to a state that is very nearly thermal with a temperature proportional to its acceleration, allowing us to discuss the universality of the Unruh effect. Additionally we quantitatively analyze the problems of considering single-mode approximations in cavity field theory and show the emergence of causal behaviour when we include a sufficiently large number of field modes in the analysis. Finally, we analyze how the harmonic particle detector can harvest entanglement from the vacuum. We also study the effect of noise in time dependent problems introduced by suddenly switching on the interaction versus ramping it up slowly (adiabatic activation).
Ref. Phys. Rev. D 87, 084062 (2013)



[index]