Adiabatic Theory of Nonlinear Evolution of Quantum States

Details Adiabatic Theory of Nonlinear Evolution of Quantum States Adiabatic Theory of Nonlinear Evolution of Quantum States

2002-05-23

arxiv.org/abs/quant-ph/0205152v2

Phys. Rev. Lett. 90 (2003) 170404

Physics

Quantum Physics

substantial revision, 5 pages and 3 figures

Scientific paper

10.1103/PhysRevLett.90.170404

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.

Affiliated with

Also associated with

No associations

Rating

Adiabatic Theory of Nonlinear Evolution of Quantum States does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Adiabatic Theory of Nonlinear Evolution of Quantum States, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Adiabatic Theory of Nonlinear Evolution of Quantum States will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-421371