Adiabatic excitation of a confined one-dimensional particle with a variable $\delta$-wall
Year: 2015
Type: preprint
Abstract: It is shown that adiabatic cycles excite a quantum particle, which is confined in a one-dimensional region and is initially in an eigenstate. During the cycle, a $\delta$-wall is applied and varied its strength and position. After the completion of the cycle, the state of the particle arrives another eigenstate. It is also shown that an arbitrary pair of eigenstates can be connected through a combination of adiabatic cycles. A detailed argument is provided for the case that the particle is confined by an infinite square well. This is an example of exotic quantum holonomy in Hamiltonian systems.
Source: arXiv (Cornell University)
Authors: Sho Kasumie, Manabu Miyamoto, Atushi Tanaka
Language: English
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2339127329