How often does the Unruh–DeWitt detector click? Regularization by a spatial profile
By Jorma Louko, A. Satz. 2006
176 citations recorded by the source corpus.
We analyse within first-order perturbation theory the instantaneous transition rate of an accelerated Unruh–DeWitt particle detector whose coupling to a massless scalar field on four-dimensional Minkowski space is regularized by a spatial profile. For the Lorentzian profile introduced by Schlicht, the zero-size limit is computed explicitly and expressed as a manifestly finite integral formula that no longer involves regulators or limits. The same transition rate is obtained for an arbitrary profile of compact support under a modified definition of spatial smearing. Consequences for the asymptotic behaviour of the transition rate are discussed. A number of stationary and nonstationary trajectories are analysed, recovering in particular the Planckian spectrum for uniform acceleration.
Subfields: Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/192cc9c1a40de09c122aa29c851e69612e088f48
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In Atomic and Molecular Physics, and Optics
In Statistical and Nonlinear Physics
Citations in the corpus
- The Unruh effect and its applications (2007, methodology): “Recently Louko and Satz (2006) have found a formula for the excitation rate of the Unruh-DeWitt detector with any trajectory in Minkowski spacetime for the massless scalar field, building on works by Schlicht (2004) and Langlois (2005, 2006).”
- Transition rate of the Unruh–DeWitt detector in curved spacetime (2007, unknown): “Case studies have shown that the result depends on the choice of the time function for Minkowski vacuum in Minkowski space [6, 7, 20, 21] and the Euclidean vacuum in de Sitter space [20, 21], and the methods of Appendix A of [7] can be adapted to show that the same holds for arbitrary Hadamard state”