6533b872fe1ef96bd12d42eb

RESEARCH PRODUCT

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

Gabriele De ChiaraG. Massimo PalmaArtur Lozinski

subject

PhysicsQuantum PhysicsCondensed Matter - Mesoscale and Nanoscale PhysicsFOS: Physical sciencesDissipationCOMPUTATIONAtomic and Molecular Physics and OpticsMagnetic fieldLangevin equationsymbols.namesakeGeometric phaseQuantum mechanicsMesoscale and Nanoscale Physics (cond-mat.mes-hall)symbolsAdiabatic processHamiltonian (quantum mechanics)Quantum Physics (quant-ph)QuantumHarmonic oscillator

description

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.

https://dx.doi.org/10.48550/arxiv.quant-ph/0410183