Würzburg 2018 – wissenschaftliches Programm
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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik
MP 3: Thermodynamics and Field Theory
MP 3.4: Vortrag
Dienstag, 20. März 2018, 18:05–18:25, Z6 - SR 1.012
Quantum energy inequalities inside an uniaxial crystal — Christopher J. Fewster1, •Christian Pfeifer2, and Daniel Siemssen3 — 1Department of Mathematics, University of York, York, United Kingdom — 2Laboratory for Theortical Physics, University of Tartu, Tartu, Estonia — 3Department of Mathematics and Informatics, University of Wuppertal, Wuppertal, Germany
The behaviour of the electromagnetic field inside an uniaxial crystal can be described in the framework of premetric electrodynamics. The electromagentic excitation is related to the electromagnetic field strength by a constitutive relation which depends not only on a metric but in addition on two vector fields describing the crystal's optical axis and rest frame. In this talk we apply the quantization of premetric electrodynamics to the uniaxial crystal and show that averages of the quantized energy density of the electromagnetic field along the worldlines of suitable observers obey a Quantum Energy Inequality (QEI). Compared to the Minkowski spacetime case the QEI bound inside the crystal takes a value which depends on the parameters of the crystal, the observer wordline in consideration and its proper time normalization. The latter may be modified compared to the one employed for observer worldlines in vacuum due to the more complicated birefringent causal structure inside the crystal. I will discuss the derivation of the uniaxial crystal QEI and its dependence on worldlines classified according to the crystal's causal structure.