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Casimir Momentum in Complex Media? Bart van Tiggelen

Casimir Momentum in Complex Media? Bart van Tiggelen. Grenoble. Collaborators: Geert Rikken (LNCMI Grenoble/Toulouse) Sébastien Kawka (Ph.D Grenoble  ENS Pisa ) James Babington (postdoc ANR Grenoble). Costas Soukoulis 60 years, June 2011. Momentum from Nothing. B 0. E 0. ε , μ ,g.

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Casimir Momentum in Complex Media? Bart van Tiggelen

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  1. Casimir Momentum in Complex Media? Bart van Tiggelen Grenoble • Collaborators: • Geert Rikken (LNCMI Grenoble/Toulouse) • Sébastien Kawka (Ph.D Grenoble  ENS Pisa) • James Babington (postdoc ANR Grenoble) Costas Soukoulis 60 years, June 2011

  2. Momentum from Nothing B0 E0 ε,μ,g

  3. Bi-anisotropic Media Fresnel dispersion law Rotatory power Magneto-electric birefringence Fizeau effect ky v E0 x B0 10-8 10-15 kx 10-2

  4. phenomenological continuum theory cut-off in X-ray ? Inertial mass of quantum vacuum? Photonic momentum in dielectric media?  classical « Abraham » contribution already controversial UV catastrophe of vacuum energy ? Lorentz invariance of quantum vacuum? Inertia of quantum vacuum?

  5. UV catastrophe in sonoluminescence (> 1934) Schwinger (1993) cut-off in the UV ?

  6. The UV catastrophe is real Free electron gME(ω)/n magnetic dipole + Electric quadruole gME = 10-17-- 10-11 Rizzo etal, 2003-2009, Babington & BAvT, 2011

  7. Casimir momentum, if infinite, is Lorentz invariant Bi-anisotropic Lorentz-invariant vacuum Fluctuation- Dissipation Zero energy flow infinite momentum density Lorentz scalar

  8. Classical Abraham momentum in crossed EM fields B0 (Walker Nature, 1976) ε v E0(t) B0 - + v E0(t)

  9. E=450 V/mm; B=1 T Ex: Helium Classical abraham force Feigel QED with cut-off 0.1 nm Regularization of vacuum energy in a=10 cm (Milton, 2000) QED harmonic oscillator (Kawka, 2010)

  10. dp/dt=Abraham force Acoustic pressure V= 8 nm/sec+- 0.8 Feigel : 2 nm/sec E=450 V/mm; B=1 T; f= 7.6 kHz p/(EB) α(0) Experiment: Geert Rikken

  11. Casimir momentum: 1/4 QED of harmonic oscillator in crossed fields E0 -e +e B0

  12. Casimir momentum: 2/4 QED of harmonic oscillator in crossed fields E0 -e +e B0 Conjugate momenta ≠ kinetic momentum Pseudo- momentum is conserved

  13. Casimir momentum: 3/4 QED of harmonic oscillator in crossed fields E0 -e +e B0

  14. Casimir momentum: 4/4 QED of harmonic oscillator in crossed fields E0 -e +e B0 K1 : 2 % QED correction to Abraham force K2: 0.01 % QED correction Kawka & Van Tiggelen, EPL 2010

  15. A quantum vacuum force F= g dB/dt ? ε ε ε ε B0 Chiral geometry with electric polarizabilities Faraday Rotation

  16. A quantum vacuum force F= g dB/dt ? µ µ µ µ B0 Chiral geometry with magnetic polarizabilities Faraday Rotation Na Tetraeder L=10 nm  g/m = 1 nm/sec/T

  17. momentum of quantum vacuum to shed new light on the controversial nature of zero-point energy Corsica, 2006 Congratulations Costas!

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