1. Magnetized spinor quantum gases Magnetized spinor quantum gases Jürgen Bosse Freie Universität Berlin Panjab University, Chandigarh 3 rd February, 2012

2. Overview Introduction: MSQG-model Self-consistent eqs. for  and B Solution within TDL approximaton BEC-phase diagram Semi-Classical Approximation (SCA) Magnetic susceptibility Summary and Outlook

3. neglect

4. Maxwell : magnetic field strength H

5. 

6.  and B decouple

7. Curie law

8. independent on T

9. Trapped Magnetized MB gas magnetic field B chemical potential (    +1 C  = C  independent of T for MB gas M*=0.75

10.  and B coupled Back to general magnetized quantum gas CC

11. fermions bosons Trapped magnetized quantum gases for M*=0.95 F=1 F=5 F=1/2 F=3/2 T c f T c a

12. W. Zhang, S. Yi, L. You. Physical Review A, 70:43611, 2004.

13. B*/T* log 10 M* Meißner-Ochsenfeld effect (  Bose gas: B = B (M )

14. Exact in homogeous limit u=0,  0 =0

15. SCA

16. Gas phase: C 0s = 0 Gas-phase (linear) magnetic susceptibility  linearize

17. dynamics thermodynamics

18. Summary and Outlook Magnetism of trapped and free quantum gases SCA reviewed Thermodynamical and dynamical  agree Density and current response functions Dielectrical properties of quantum gases Interactions via HFA