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Title: Moving walls and geometric phases
Authors: Facchi, Paolo
Garnero, Ciancarlo
Marmo, G.
Samuel, J.
Keywords: Quantum boundary conditions
Time-dependent systems
Issue Date: Sep-2016
Publisher: Elsevier Inc.
Citation: Annals of Physics, 2016, Vol. 372, p201-214
Abstract: 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.
Description: Restricted Access. An open-access version is available at (one of the alternative locations)
ISSN: 0003-4916
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Copyright: 2016 Elsevier Inc.
Appears in Collections:Research Papers (TP)

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