Quantum dynamics of a binary mixture of BECs in a double well potential: an Holstein-Primakoff approach

作者: Roberta Citro , Adele Naddeo , Edmond Orignac

DOI: 10.1088/0953-4075/44/11/115306

关键词: PhysicsDouble-well potentialQuantum dynamicsSpin statesSemiclassical physicsQuantum evolutionQuantum mechanicsBosonHamiltonian (quantum mechanics)Quantum tunnelling

摘要: We study the quantum dynamics of a binary mixture Bose-Einstein condensates (BEC) in double-well potential starting from two-mode Bose-Hubbard Hamiltonian. Focussing on regime where number atoms is very large, mapping onto SU(2) spin problem together with Holstein-Primakoff transformation performed. The evolution difference bosons between two wells investigated for different initial conditions, which range case small imbalance to coherent state. results show an instability towards phase-separation above critical positive value interspecies interaction while system evolves tunneling negative interactions. A comparison semiclassical approach discussed some implications experimental realization phase separation cold atoms.

参考文章(51)
Sahel Ashhab, Carlos Lobo, External Josephson effect in Bose-Einstein condensates with a spin degree of freedom Physical Review A. ,vol. 66, pp. 013609- ,(2002) , 10.1103/PHYSREVA.66.013609
B. Juliá-Díaz, M. Guilleumas, M. Lewenstein, A. Polls, A. Sanpera, Josephson oscillations in binary mixtures of F = 1 spinor Bose-Einstein condensates Physical Review A. ,vol. 80, pp. 023616- ,(2009) , 10.1103/PHYSREVA.80.023616
A.J. Glick, H.J. Lipkin, N. Meshkov, Validity of many-body approximation methods for a solvable model Nuclear Physics. ,vol. 62, pp. 211- 224 ,(1965) , 10.1016/0029-5582(65)90864-3
H.J. Lipkin, N. Meshkov, A.J. Glick, Validity of many-body approximation methods for a solvable model Nuclear Physics. ,vol. 62, pp. 188- 198 ,(1965) , 10.1016/0029-5582(65)90862-X
G. Thalhammer, G. Barontini, L. De Sarlo, J. Catani, F. Minardi, M. Inguscio, Double species Bose-Einstein condensate with tunable interspecies interactions. Physical Review Letters. ,vol. 100, pp. 210402- ,(2008) , 10.1103/PHYSREVLETT.100.210402
S. B. Papp, J. M. Pino, C. E. Wieman, Tunable Miscibility in a Dual-Species Bose-Einstein Condensate Physical Review Letters. ,vol. 101, pp. 040402- ,(2008) , 10.1103/PHYSREVLETT.101.040402
S. Inouye, M. R. Andrews, J. Stenger, H.-J. Miesner, D. M. Stamper-Kurn, W. Ketterle, Observation of Feshbach resonances in a Bose–Einstein condensate Nature. ,vol. 392, pp. 151- 154 ,(1998) , 10.1038/32354
N. Meshkov, A.J. Glick, H.J. Lipkin, Validity of many-body approximation methods for a solvable model Nuclear Physics. ,vol. 62, pp. 199- 210 ,(1965) , 10.1016/0029-5582(65)90863-1
M. R. Matthews, B. P. Anderson, P. C. Haljan, D. S. Hall, M. J. Holland, J. E. Williams, C. E. Wieman, E. A. Cornell, Watching a Superfluid Untwist Itself: Recurrence of Rabi Oscillations in a Bose-Einstein Condensate Physical Review Letters. ,vol. 83, pp. 3358- 3361 ,(1999) , 10.1103/PHYSREVLETT.83.3358