Spin-1 microcondensate in a magnetic field
作者： Austen Lamacraft
DOI: 10.1103/PHYSREVA.83.033605
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摘要: We study a spin-1 Bose-Einstein condensate small enough to be treated as single magnetic domain: system that we term microcondensate. Because all particles occupy spatial mode, this quantum many-body has well-defined classical limit consisting of three degrees freedom, corresponding the macroscopically occupied spin states. both and its quantization, finding an integrable in cases. Depending on sign ratio interaction energy quadratic Zeeman energy, displays either separatrix phase space or Hamiltonian monodromy nontrivial topology. discuss signatures these phenomena using semiclassical quantization well exact solution Bethe ansatz.
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J. Dukelsky, S. Pittel, G. Sierra, Colloquium: Exactly solvable Richardson-Gaudin models for many-body quantum systems Reviews of Modern Physics. ,vol. 76, pp. 643- 662 ,(2004) , 10.1103/REVMODPHYS.76.643
K. Efstathiou, M. Joyeux, D. A. Sadovskií, Global bending quantum number and the absence of monodromy in the HCN-CNH molecule Physical Review A. ,vol. 69, pp. 032504- ,(2004) , 10.1103/PHYSREVA.69.032504
Richard H. Cushman, Larry M. Bates, Global Aspects of Classical Integrable Systems ,(2004)
D. M. Stamper-Kurn, W. Ketterle, H.-J. Miesner, A. P. Chikkatur, J. Stenger, S. Inouye, Spin domains in ground-state Bose-Einstein condensates Nature. ,vol. 396, pp. 345- 348 ,(1998) , 10.1038/24567
Ming-Shien Chang, Qishu Qin, Wenxian Zhang, Li You, Michael S. Chapman, Coherent spinor dynamics in a spin-1 Bose condensate Nature Physics. ,vol. 1, pp. 111- 116 ,(2005) , 10.1038/NPHYS153
A. Black, E. Gomez, L. Turner, S. Jung, P. Lett, Spinor Dynamics in an Antiferromagnetic Spin-1 Condensate Physical Review Letters. ,vol. 99, pp. 070403- 070403 ,(2007) , 10.1103/PHYSREVLETT.99.070403
N. M. Bogoliubov, SPINOR BOSE CONDENSATE AND THE su(1,1) RICHARDSON MODEL Journal of Mathematical Sciences. ,vol. 136, pp. 3552- 3559 ,(2006) , 10.1007/S10958-006-0180-0
J. Dukelsky, J.M. Román, G. Sierra, Large-N limit of the exactly solvable BCS model: analytics versus numerics Nuclear Physics. ,vol. 634, pp. 483- 510 ,(2002) , 10.1016/S0550-3213(02)00317-6
F. Pérez-Bernal, F. Iachello, Algebraic approach to two-dimensional systems: Shape phase transitions, monodromy, and thermodynamic quantities Physical Review A. ,vol. 77, pp. 032115- ,(2008) , 10.1103/PHYSREVA.77.032115
Nguyen Tien Zung, A note on focus-focus singularities Differential Geometry and Its Applications. ,vol. 7, pp. 123- 130 ,(1997) , 10.1016/S0926-2245(96)00042-3