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Adiabatic Theory of Nonlinear Evolution of Quantum States | | Jie Liu
; Biao Wu
; Qian Niu
; | | Date: |
24 May 2002 | | Journal: | Phys. Rev. Lett. 90 (2003) 170404 DOI: 10.1103/PhysRevLett.90.170404 | | Subject: | Quantum Physics; Soft Condensed Matter | quant-ph cond-mat.soft | | Abstract: | We present a general theory for adiabatic evolution of quantum states as governed by the nonlinear Schrodinger equation, and provide examples of applications with a nonlinear tunneling model for Bose-Einstein condensates. Our theory not only spells out conditions for adiabatic evolution of eigenstates, but also characterizes the motion of non-eigenstates which cannot be obtained from the former in the absence of the superposition principle. We find that in the adiabatic evolution of non-eigenstates, the Aharonov-Anandan phases play the role of classical canonical actions. | | Source: | arXiv, quant-ph/0205152 | | Services: | Forum | Review | PDF | Favorites | |
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