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Berry phase in open quantum systems: a quantum Langevin equation approach

Gabriele De Chiara·Artur Lozinski·G. Massimo Palma
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Abstract

The evolution of a two level system with a slowly varying Hamiltonian, modeled as s spin 1/2 in a slowly varying magnetic field, and interacting with a quantum environment, modeled as a bath of harmonic oscillators is analyzed using a quantum Langevin approach. This allows to easily obtain the dissipation time and the correction to the Berry phase in the case of an adiabatic cyclic evolution.

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Gabriele De Chiara, Artur Lozinski, G. Massimo Palma. 2007-01-08. Berry phase in open quantum systems: a quantum Langevin equation approach. https://doi.org/10.1140/epjd%2Fe2006-00186-y

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