Moving walls and geometric phases

作者：Facchi Paolo^*; Garnero Giancarlo; Marmo Giuseppe; Samuel Joseph

来源：Annals of Physics, 2016, 372: 201-214.

DOI：10.1016/j.aop.2016.05.007

• Geometric phase
• Quantum boundary conditions
• Time-dependent systems

We unveil the existence of a non-trivial Berry phase associated to the dynamics of a quantum particle in a one dimensional box with moving walls. It is shown that a suitable choice of boundary conditions has to be made in order to preserve unitarity. For these boundary conditions we compute explicitly the geometric phase two-form on the parameter space. The unboundedness of the Hamiltonian describing the system leads to a natural prescription of renormalization for divergent contributions arising from the boundary.

• 出版日期2016-9