https://doi.org/10.1140/epjd/e2006-00186-y
Berry phase in open quantum systems: a quantum Langevin equation approach
1
NEST-INFM & Scuola Normale Superiore, piazza dei Cavalieri 7, 56126 Pisa, Italy
2
NEST-INFM & Dipartimento di Tecnologie dell'Informazione, Università degli Studi di Milano; via Bramante 65, 26013 Crema (CR), Italy
3
NEST-INFM & Dipartimento di Scienze Fisiche ed Astronomiche, Università degli Studi di Palermo, via Archirafi 36, 90123 Palermo, Italy
Corresponding author: a massimo.palma@fisica.unipa.it
Received:
16
June
2006
Published online:
18
August
2006
The evolution of a two level system with a slowly varying Hamiltonian, modeled as a 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.
PACS: 03.65.Vf – Phases: geometric; dynamic or topological / 03.65.Yz – Decoherence; open systems; quantum statistical methods / 03.67.Pp – Quantum error correction and other methods for protection against decoherence
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2006