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World of ultracold atoms with strong interaction. Daw-Wei Wang. National Tsing-Hua University. Temperature ?. What we mean by “ultracold” ?. Why low temperature ?. Ans: To see the quantum effects !. Uncertainty principle:. (after Nature, 416 , 225 (’02)). Why strong interaction ?.
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World of ultracold atoms with strong interaction Daw-Wei Wang National Tsing-Hua University
Temperature ? What we mean by “ultracold” ?
Why low temperature ? Ans: To see the quantum effects ! Uncertainty principle:
Why strong interaction ? P. Anderson: “Many is not more” Because interaction can make “many” to be “different” ! Example:1D interacting electrons crystalization and no fermionic excitation
How to reach ultracold temperature ? 1. Laser cooling ! (1997 Nobel Price) Use red detune laser + Doppler effect
How to reach ultracold temperature ? 2. Evaporative cooling ! Reduce potential barrial +thermal equilibrium
How to do measurement ? Trapping and cooling Perturbing Releasing and measuring BEC (2001 Nobel Price)
What is Bose-Einstein condensation ? When T is small enough, noninteracting bosons like to stay in the lowest energy state, i.e. BEC
How about fermions in T=0 ? D(E) Fermi sea E When T-> 0, noninteracting fermions form a compact distribution in energy level.
BEC and Superfluidity of bosons (after Science, 293, 843 (’01)) condensate BEC = superfluidity v repulsion Superfluid uncondensate Normal fluid Landau’s two-fluid model
Phonons and interference in BEC Interference Phonon=density fluctuation (after Science 275, 637 (’97)) Matter waves ?
Vortices in condensate Vortex = topological disorder E L 0 1 2 3 (after Science 292, 476 (’01)) Vortices melting, quantum Hall regime ? (after PRL 87, 190401 (’01))
Spinor condensation in optical trap Na E F=2 F=1 B (see for example, cond-mat/0005001)
D(E) rf-pulse Interacting fermi sea E Boson-fermion mixtures Fermions are noninteracting ! phonon fermion phonon-mediated interaction Sympathetic cooling
Feshbach Resonance (i) Typical scattering: a (ii) Resonant scattering: B Molecule state
Molecule and pair condensate (MIT group, PRL 92, 120403 (’04)) (JILA, after Nature 424, 47 (’03)) (Innsbruck, after Science 305, 1128 (’04))
other lattice Optical lattice 3D lattice 1D lattice Entanglement control
Mott-Insulator transition Bose-Hubbard model n=3 superfluid n=2 n=1 (after Nature 415, 39 (’02))
Fermions in optical lattice Fermi Hubbard model Superfluidity of fermion pairing in lattice is also realized.
wire Transport in 1D waveguide wave guide Interference ? Finite temperature + semiconductor technique
(2) Atoms with large magnetic moment (1) Heteronuclear molecules Small moment Dipoles in nature: (a) Direct molecules p~ 1-5 D (b) But difficult to be cooled But it is now ready to go ! (Stuhler etc.) (Doyle, Meijer, DeMille etc.)
Condensate (superfluid) Tc~700 nK
(2) Atoms with large magnetic moment (1) Heteronuclear molecules Small moment Cold dipolar atoms/molecules (a) Direct molecules p~ 1-5 D (b) But difficult to be cooled But it is now ready to go ! (Stuhler etc.) (Doyle, Meijer, DeMille etc.)
Condensate (superfluid) Tc~700 nK
Interdisciplinary field Traditional AMO Precise measurement Cosmology Ultracold atoms Quantum Information Nonlinear Physics Soft-matter/ chemistry Condensed matter