VMValery N. Marachevsky

Valery N. Marachevsky

*This is an algorithmically generated author record based on publicly available information.

Current Organizations / Institutes

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Previous Organizations / Institutes

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Valery N. Marachevsky has a total of 39 co-authors. Here are the top co-authors by number of shared publications:


Latest Publications

  • Vacuum Parity Effects for the Casimir–Polder Potential between Two Chern–Simons Layers

    by V. N. Marachevsky, A. A. Sidelnikov

    The Casimir–Polder potential of an anisotropic neutral atom between two Chern–Simons plane-parallel layers is studied. The effect of 180 $${}^{

  • Open Access

    Casimir Interaction of Chern–Simons Layers on Substrates via Vacuum Stress Tensor

    by Valery N. Marachevsky, Arseny A. Sidelnikov

    We develop a Green’s functions scattering method for systems with Chern–Simons plane boundary layers on dielectric half-spaces. The Casimir pressure is derived by evaluation of the stress tensor in a vacuum slit between two half-spaces. The sign of the Casimir pressure on a Chern–Simons plane layer separated by a vacuum slit from the Chern–Simons layer at the boundary of a dielectric half-space is analyzed for intrinsic Si and SiO2 glass substrates.


  • Gauge-Invariant Derivation of the Casimir–Lifshitz Pressure

    by V. N. Marachevsky, A. A. Sidelnikov

    A new gauge-invariant (by construction) derivation of electric Green’s functions in a system of two dielectric half-spaces separated by a vacuum gap is considered. The derivation of Casimir–Lifshitz pressure is given. We consider a novel explicitly gauge-invariant derivation of electric Green’s functions in the system of two dielectric half-spaces separated by a vacuum slit. The derivation of the Casimir–Lifshitz pressure is given.


  • The Casimir Effect for Diffraction Gratings, Symmetry Breaking, and Geometric Transitions

    by V. N. Marachevsky

    The theory of the Casimir effect for diffraction gratings is considered; symmetry breaking in geometric transitions is discussed.


  • Open Access

    Casimir-Polder interaction with Chern-Simons boundary layers

    by Valery N. Marachevsky, Arseny A. Sidelnikov

    Green functions scattering method is generalized to consider mixing of electromagnetic polarizations after reflection from the plane boundary between different media and applied to derivation of the Casimir-Polder potential in systems with Chern-Simons plane boundary layers. The method is first applied to derive the Casimir-Polder potential of an anisotropic atom in the presence of a Chern-Simons plane boundary layer on a dielectric half-space. Then a general result for the Casimir-Polder potential of an anisotropic atom between two dielectric half-spaces with Chern-Simons plane parallel boundary layers is derived. The Casimir-Polder potential of an anisotropic atom between two Chern-Simons plane parallel layers in vacuum is expressed through special functions. Novel P-odd three-body vacuum effects are discovered and analyzed in the system of two Chern-Simons plane parallel layers and a neutral atom in its ground state between the layers. Remarkably, P-odd three-body vacuum effects arising due to 180 degree rotation of one of the Chern-Simons layers can be verified in experiments with neutral atoms having QED dipole interaction with an electromagnetic field.


  • Open Access

    Casimir-Polder interaction with Chern-Simons boundary layers

    by Valery N. Marachevsky, Arseny A. Sidelnikov

    Green functions scattering method is generalized to consider mixing of electromagnetic polarizations after reflection from the plane boundary between different media and applied to derivation of the Casimir-Polder potential in systems with Chern-Simons plane boundary layers. The method is first applied to derive the Casimir-Polder potential of an anisotropic atom in the presence of a Chern-Simons plane boundary layer on a dielectric half-space. Then a general result for the Casimir-Polder potential of an anisotropic atom between two dielectric half-spaces with Chern-Simons plane parallel boundary layers is derived. The Casimir-Polder potential of an anisotropic atom between two Chern-Simons plane parallel layers in vacuum is expressed through special functions. Novel P-odd three-body vacuum effects are discovered and analyzed in the system of two Chern-Simons plane parallel layers and a neutral atom in its ground state between the layers. Remarkably, P-odd three-body vacuum effects arising due to 180 degree rotation of one of the Chern-Simons layers can be verified in experiments with neutral atoms having QED dipole interaction with an electromagnetic field.

  • Open Access

    Green Functions Scattering in the Casimir Effect

    by Valery N. Marachevsky, Arseny A. Sidelnikov

    We propose Green functions scattering method to obtain the Casimir–Polder potential between anisotropic atom and one or two planar parallel plates. Lifshitz formula for pressure between two dielectric half-spaces separated by a vacuum slit is derived within the same method. The method is also applied to known conducting systems including graphene which are overviewed.


  • Giant Casimir Torque between Rotated Gratings and theθ=0Anomaly

    by Mauro Antezza, H. B. Chan, Brahim Guizal, Valery N. Marachevsky, Riccardo Messina, Mingkang Wang

    We study the Casimir torque between two metallic one-dimensional gratings rotated by an angle θ with respect to each other. We find that, for infinitely extended gratings, the Casimir energy is anomalously discontinuous at θ=0, due to a critical zero-order geometric transition between a 2D- and a 1D-periodic system. This transition is a peculiarity of the grating geometry and does not exist for intrinsically anisotropic materials. As a remarkable practical consequence, for finite-size gratings, the torque per area can reach extremely large values, increasing without bounds with the size of the system. We show that for finite gratings with only ten period repetitions, the maximum torque is already 60 times larger than the one predicted in the case of infinite gratings. These findings pave the way to the design of a contactless quantum vacuum torsional spring, with possible relevance to micro- and nanomechanical devices.


  • Open Access

    Giant Casimir torque between rotated gratings and the $θ=0$ anomaly

    by Mauro Antezza, H. B. Chan, Brahim Guizal, Valery N. Marachevsky, Riccardo Messina, M. Wang

    We study the Casimir torque between two metallic one-dimensional gratings rotated by an angle $\theta$ with respect to each other. We find that, for infinitely extended gratings, the Casimir energy is anomalously discontinuous at $\theta=0$, due to a critical zero-order geometric transition between a 2D- and a 1D-periodic system. This transition is a peculiarity of the grating geometry and does not exist for intrinsically anisotropic materials. As a remarkable practical consequence, for finite-size gratings, the torque per area can reach extremely large values, increasing without bounds with the size of the system. We show that for finite gratings with only 10 period repetitions, the maximum torque is already 60 times larger than the one predicted in the case of infinite gratings. These findings pave the way to the design of a contactless quantum vacuum torsional spring, with possible relevance to micro- and nano-mechanical devices.

  • Casimir interaction of two dielectric half spaces with Chern-Simons boundary layers

    by Valery N. Marachevsky

    Crossing from the repulsive to the attractive Casimir force is analyzed for two Au and two Si half spaces with boundary Chern-Simons layers. Boundary quantum Hall layers in external magnetic field lead to Casimir repulsion at nanoscales. We discuss features that make systems with boundary quantum Hall layers unique for precise force measurements.