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quant-ph2004★ 72 cited
Adiabatic Geometric Phase for a General Quantum States
Biao Wu, Jie Liu, Qian Niu
A geometric phase is found for a general quantum state that undergoes adiabatic evolution. For the case of eigenstates, it reduces to the original Berry's phase. Such a phase is ap…
quant-ph2002★ 220 cited
Adiabatic Theory of Nonlinear Evolution of Quantum States
Jie Liu, Biao Wu, Qian Niu
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 tunne…