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

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Presentation transcript:

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

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

neglect

Maxwell : magnetic field strength H



 and B decouple

Curie law

independent on T

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

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

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

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

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

Exact in homogeous limit u=0,  0 =0

SCA

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

dynamics thermodynamics

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