@phdthesis{Henkel2004, author = {Henkel, Carsten}, title = {Coherence theory of atomic de Broglie waves and electromagnetic near fields}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-0001272}, school = {Universit{\"a}t Potsdam}, year = {2004}, abstract = {Die Arbeit untersucht theoretisch die Wechselwirkung neutraler Teilchen (Atome, Molek{\"u}le) mit Oberfl{\"a}chen, soweit sie durch das elektromagnetische Feld vermittelt wird. Spektrale Energiedichten und Koh{\"a}renzfunktionen werden hergeleitet und liefern eine umfassende Charakterisierung des Felds auf der sub-Wellenl{\"a}ngen-Skala. Die Ergebnisse finden auf zwei Teilgebieten Anwendung: in der integrierten Atomoptik, wo ultrakalte Atome an thermische Oberfl{\"a}chen koppeln, und in der Nahfeldoptik, wo eine Aufl{\"o}sung unterhalb der Beugungsbegrenzung mit einzelnen Molek{\"u}len als Sonden und Detektoren erzielt werden kann.}, language = {en} } @misc{HenkelSteaneKaiseretal.1994, author = {Henkel, Carsten and Steane, Andrew M. and Kaiser, Robin and Dalibard, Jean}, title = {A modulated mirror for atomic interferometry}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-42279}, year = {1994}, abstract = {A novel atomic beam splitter, using reflection of atoms off an evanescent light wave, is investigated theoretically. The intensity or frequency of the light is modulated in order to create sidebands on the reflected de Broglie wave. The weights and phases of the various sidevands are calculated using three different approaches: the Born approximation, a semiclassical path integral approach, and a numerical solution of the time-dependent Schrdinger equation. We show how this modulated mirror could be used to build practical atomic interferometers.}, language = {en} } @misc{HenkelCourtoisAspect1994, author = {Henkel, Carsten and Courtois, Jean-Yves and Aspect, Alain}, title = {Atomic diffraction by a thin phase grating}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-42269}, year = {1994}, abstract = {We present a semiclassical perturbation method for the description of atomic diffraction by a weakly modulated potential. It proceeds in a way similar to the treatment of light diffraction by a thin phase grating, and consists in calculating the atomic wavefunction by means of action integrals along the classical trajectories of the atoms in the absence of the modulated part of the potential. The capabilities and the validity condition of the method are illustrated on the well-known case of atomic diffraction by a Gaussian standing wave. We prove that in this situation the perturbation method is equivalent to the Raman-Nath approximation, and we point out that the usually-considered Raman-Nath validity condition can lead to inaccuracies in the evaluation of the phases of the diffraction amplitudes. The method is also applied to the case of an evanescent wave reflection grating, and an analytical expression for the diffraction pattern at any incidence angle is obtained for the first time. Finally, the application of the method to other situations is briefly discussed.}, language = {en} } @article{HannemannWegnerHenkel2021, author = {Hannemann, Mandy and Wegner, Gino and Henkel, Carsten}, title = {No-slip boundary conditions for electron hydrodynamics and the thermal Casimir pressure}, series = {Universe : open access journal}, volume = {7}, journal = {Universe : open access journal}, number = {4}, publisher = {MDPI}, address = {Basel}, issn = {2218-1997}, doi = {10.3390/universe7040108}, pages = {20}, year = {2021}, abstract = {We derive modified reflection coefficients for electromagnetic waves in the THz and far infrared range. The idea is based on hydrodynamic boundary conditions for metallic conduction electrons. The temperature-dependent part of the Casimir pressure between metal plates is evaluated. The results should shed light on the "thermal anomaly," where measurements deviate from the standard fluctuation electrodynamics for conducting metals.}, language = {en} } @misc{HenkelCourtoisKaiseretal.1994, author = {Henkel, Carsten and Courtois, Jean-Yves and Kaiser, Robin and Westbrook, C. and Aspect, Alain}, title = {Phase shifts of atomic de Broglie waves at an evanescent wave mirror}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-42289}, year = {1994}, abstract = {A detailed theoretical investigation of the reflection of an atomic de Broglie wave at an evanescent wave mirror is presented. The classical and the semiclassical descriptions of the reflection process are reviewed, and a full wave-mechanical approach based on the analytical soution of the corresponding Schr{\"o}dinger equation is presented. The phase shift at reflection is calculated exactly and interpreted in terms of instantaneous reflection of the atom at an effective mirror. Besides the semiclassical regime of reflection describable by the WKB method, a pure quantum regime of reflection is identified in the limit where the incident de Broglie wavelength is large compared to the evanescent wave decay length.}, 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{JoulainHenkelGreffet2006, author = {Joulain, Karl and Henkel, Carsten and Greffet, Jean-Jacques}, title = {Influence of the dependence in temperature of the optical properties of materials on the Casimir force}, series = {Journal de physique IV}, volume = {135}, journal = {Journal de physique IV}, publisher = {EDP Sciences}, address = {Les Ulis}, issn = {1155-4339}, doi = {10.1051/jp4:2006135021}, pages = {113 -- 114}, year = {2006}, abstract = {Nous {\´e}valuons la force de Casimir entre deux surfaces planes m{\´e}talliques constitu{\´e}es d'argent. Nous prenons, pour effectuer cette {\´e}valuation, des propri{\´e}t{\´e}s optiques de l'argent {\`a} diff{\´e}rentes temp{\´e}ratures [1]. Nous montrons que cette d{\´e}pendance en temp{\´e}rature modifie la force de Casimir (de 0.2\%) y compris {\`a} des distances inf{\´e}rieures {\`a} la longueur d'onde thermique.}, language = {fr} } @article{PerrinColombeMercieretal.2006, author = {Perrin, Helene and Colombe, Yves and Mercier, Brigitte and Lorent, Vincent and Henkel, Carsten}, title = {Diffuse reflection of a Bose-Einstein condensate from a rough evanescent wave mirror}, series = {Journal of physics : B, Atomic, molecular and optical physics}, volume = {39}, journal = {Journal of physics : B, Atomic, molecular and optical physics}, publisher = {IOP Publ.}, address = {Bristol}, issn = {0953-4075}, doi = {10.1088/0953-4075/39/22/009}, pages = {4649 -- 4658}, year = {2006}, abstract = {We present experimental results showing the diffuse reflection of a Bose Einstein condensate from a rough mirror, consisting of a dielectric substrate supporting a blue-detuned evanescent wave. The scattering is anisotropic, more pronounced in the direction of the surface propagation of the evanescent wave. These results agree very well with theoretical predictions.}, language = {en} } @misc{BouchouleSchemmerHenkel2018, author = {Bouchoule, Isabelle and Schemmer, Max and Henkel, Carsten}, title = {Cooling phonon modes of a Bose condensate with uniform few body losses}, series = {Postprints der Universit{\"a}t Potsdam : Mathematisch-Naturwissenschaftliche Reihe}, journal = {Postprints der Universit{\"a}t Potsdam : Mathematisch-Naturwissenschaftliche Reihe}, number = {1029}, issn = {1866-8372}, doi = {10.25932/publishup-46881}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus4-468811}, pages = {20}, year = {2018}, abstract = {We present a general analysis of the cooling produced by losses on condensates or quasi-condensates. We study how the occupations of the collective phonon modes evolve in time, assuming that the loss process is slow enough so that each mode adiabatically follows the decrease of the mean density. The theory is valid for any loss process whose rate is proportional to the jth power of the density, but otherwise spatially uniform. We cover both homogeneous gases and systems confined in a smooth potential. For a low-dimensional gas, we can take into account the modified equation of state due to the broadening of the cloud width along the tightly confined directions, which occurs for large interactions. We find that at large times, the temperature decreases proportionally to the energy scale mc2, where m is the mass of the particles and c the sound velocity. We compute the asymptotic ratio of these two quantities for different limiting cases: a homogeneous gas in any dimension and a one-dimensional gas in a harmonic trap.}, language = {en} } @article{HenkelKlimchitskayaMostepanenko2018, author = {Henkel, Carsten and Klimchitskaya, G. L. and Mostepanenko, V. M.}, title = {Influence of the chemical potential on the Casimir-Polder interaction between an atom and gapped graphene or a graphene-coated substrate}, series = {Physical review : A, Atomic, molecular, and optical physics}, volume = {97}, journal = {Physical review : A, Atomic, molecular, and optical physics}, number = {3}, publisher = {American Physical Society}, address = {College Park}, issn = {2469-9926}, doi = {10.1103/PhysRevA.97.032504}, pages = {12}, year = {2018}, abstract = {We present a formalism based on first principles of quantum electrodynamics at nonzero temperature which permits us to calculate the Casimir-Polder interaction between an atom and a graphene sheet with arbitrary mass gap and chemical potential, including graphene-coated substrates. The free energy and force of the Casimir-Polder interaction are expressed via the polarization tensor of graphene in (2 + 1)-dimensional space-time in the framework of the Dirac model. The obtained expressions are used to investigate the influence of the chemical potential of graphene on the Casimir-Polder interaction. Computations are performed for an atom of metastable helium interacting with either a freestanding graphene sheet or a graphene-coated substrate made of amorphous silica. It is shown that the impacts of the nonzero chemical potential and the mass gap on the Casimir-Polder interaction are in opposite directions, by increasing and decreasing the magnitudes of the free energy and force, respectively. It turns out, however, that the temperature-dependent part of the Casimir-Polder interaction is decreased by a nonzero chemical potential, whereas the mass gap increases it compared to the case of undoped, gapless graphene. The physical explanation for these effects is provided. Numerical computations of the Casimir-Polder interaction are performed at various temperatures and atom-graphene separations.}, language = {en} }