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Quantum Turbulence and (some of) the Cosmology of Superfluid 3 He George Pickett

Quantum Turbulence and (some of) the Cosmology of Superfluid 3 He George Pickett. Symmetry corresponding to all forces together – who knows?. Symmetry corresponding to all forces together – who knows?. GUT symmetry º Strong + weak + EM together.

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Quantum Turbulence and (some of) the Cosmology of Superfluid 3 He George Pickett

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  1. Quantum Turbulence and (some of) the Cosmology of Superfluid 3He George Pickett

  2. Symmetry corresponding to all forces together – who knows?

  3. Symmetry corresponding to all forces together – who knows? GUT symmetry º Strong + weak + EM together

  4. Symmetry corresponding to all forces together – who knows? GUT symmetry º Strong + weak + EM together Breaking this symmetry º to choosing a phase angle f. The two Higgs fields give mass to the leptons, quarks, W and Z particles.

  5. SymmetriesBroken Universe SU(3)´ SU(2)´ U(1)

  6. L = 1 S = 1

  7. Superfluid 3He SO(3)´ SO(3)´ U(1) Universe SU(3)´ SU(2)´ U(1)

  8. Superfluid 3He is the most complex system for which we already have “The Theory of Everything”.

  9. Outline • Some Basics of Superfluid 3He • The Cosmology Thereof

  10. L = 1 S = 1 From of the number of L and S degrees of freedom there are several possible superfluid phases.

  11. The A phase has only ÝÝ and ßß pairs (all with the same L value).

  12. The B phase has all three ÝÝ, ßß and Ýß pairs (all giving J = 0, i.e.Sz + Lz= 0).

  13. The B phase has ÝßandßÝ spin pairs as well asÝÝ andßß pairs and thus has a lower magnetic susceptibility than the A phase \the B phase can be depressed by a magnetic field.

  14. What are the excitations?

  15. The excitations are broken Cooper pairs, i.e. a “pairs” with only one particle but still coupled to the “missing particle” hole state.

  16. Normal scattering Venuswilliams-on Quasiparticle

  17. Normal scattering Venuswilliams-on Venuswilliams-on Quasiparticle Quasiparticle Momentum of incoming and outgoing quasiparticle not correlated

  18. Cooper pair Quasihole Quasiparticle Andreev scattering Cooper pair has ~zero momentum, so incoming and outgoing excitation have same momenta (but opposite velocities).

  19. Cooper pair

  20. Normal scattering

  21. Andreev scattering

  22. Observer stationary

  23. Or of liquid Motion of observer Galilean transform E’= E - p.v Contrary to Relativity

  24. Motion of observer (or scatterer)

  25. The Vibrating Wire Resonator Wire thin to reduce relative internal friction ~1 micron Few mms

  26. The Vibrating Wire Resonator

  27. The Vibrating Wire Resonator

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