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SUMMARY:Quantum fluctuations in a two-component dipolar Bose-Einstein Cond
 ensate - Mr. Shanglong Ning\, Cavendish Laboratory\, University of Cambrid
 ge
DTSTART:20181205T140000Z
DTEND:20181205T150000Z
UID:TALK115852@talks.cam.ac.uk
CONTACT:Dr Kaveh Delfanazari
DESCRIPTION:This talk tackles with the problem regarding a two-component B
 ose-Einstein Condensate with long-range anisotropic dipole-dipole interact
 ion into consideration. With the method of Bogoliubov prescription of a ga
 nd-canonical Hamiltonian in second quantization form\, the zeroth\, first 
 and second order terms are separated and discussed separately which all yi
 eld to different physical interpretations. Subsequently\, by introducing a
  canonical transformation of the two component creation and annihilation o
 perators\, the matrix of fluctuation term is diagonalized which results in
  two branches of Bogoliubov spectrum. Further\, the condensate depletion\,
  ground-state energy shift\, chemical potential and state of equation are 
 calculated separately for homogeneous systems. When it comes to the harmon
 ically-trapped systems\, semi-classical approximation is used to deal with
  the spatial dependence. A similar form of Bogoliubov-de Gennes (BdG) equa
 tion is obtained under Thomas-Fermi regime where the kinetic energy of ato
 ms can be neglected. Together with local density approximation\, the non-l
 ocal BdG is transmitted into an algebraic solvable equation. Later the Bob
 oliubov amplitudes are solved in the same form as homogenous case only wit
 h the substitution of the non-local term.
LOCATION:Mott Seminar Room (531)\, Cavendish Laboratory\, Department of Ph
 ysics
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