@article{MkrtchianHenkel2014, author = {Mkrtchian, Vanik E. and Henkel, Carsten}, title = {On non-equilibrium photon distributions in the Casimir effect}, series = {Annalen der Physik}, volume = {526}, journal = {Annalen der Physik}, number = {1-2}, publisher = {Wiley-VCH}, address = {Weinheim}, issn = {0003-3804}, doi = {10.1002/andp.201300135}, pages = {87 -- 101}, year = {2014}, abstract = {The electromagnetic field in a typical geometry of the Casimir effect is described in the Schwinger-Keldysh formalism. The main result is the photon distribution function (Keldysh Green function) in any stationary state of the field. A two-plate geometry with a sliding interface in local equilibrium is studied in detail, and full agreement with the results of Rytov fluctuation electrodynamics is found.}, language = {en} } @article{MkrtchianHenkel2020, author = {Mkrtchian, Vanik E. and Henkel, Carsten}, title = {Green function solution of generalised boundary value problems}, series = {Physics Letters A}, volume = {384}, journal = {Physics Letters A}, number = {23}, publisher = {Elsevier}, address = {Amsterdam}, issn = {0375-9601}, doi = {10.1016/j.physleta.2020.126573}, pages = {5}, year = {2020}, abstract = {We construct an expression for the Green function of a differential operator satisfying nonlocal, homogeneous boundary conditions starting from the fundamental solution of the differential operator. This also provides the solution to the boundary value problem of an inhomogeneous partial differential equation with inhomogeneous, nonlocal boundary conditions. The construction applies for a broad class of linear partial differential equations and linear boundary conditions.}, language = {en} } @article{IntravaiaMkrtchianBuhmannetal.2015, author = {Intravaia, Francesco and Mkrtchian, Vanik E. and Buhmann, Stefan Yoshi and Scheel, Stefan and Dalvit, Diego A. R. and Henkel, Carsten}, title = {Friction forces on atoms after acceleration}, series = {Journal of physics : Condensed matter}, volume = {27}, journal = {Journal of physics : Condensed matter}, number = {21}, publisher = {IOP Publ. Ltd.}, address = {Bristol}, issn = {0953-8984}, doi = {10.1088/0953-8984/27/21/214020}, pages = {19}, year = {2015}, abstract = {The aim of this paper is to revisit the calculation of atom-surface quantum friction in the quantum field theory formulation put forward by Barton (2010 New J. Phys. 12 113045). We show that the power dissipated into field excitations and the associated friction force depend on how the atom is boosted from being initially at rest to a configuration in which it is moving at constant velocity (nu) parallel to the planar interface. In addition, we point out that there is a subtle cancellation between the one-photon and part of the two-photon dissipating power, resulting in a leading order contribution to the frictional power which goes as nu(4). These results are also confirmed by an alternative calculation of the average radiation force, which scales as nu(3).}, language = {en} }