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

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.

6 pages, no figures. Published version

References in corpus (8)

• Geometric quantum computation with NMR
• Geometric Manipulation of Trapped Ions for Quantum Computation
• Non-adiabatic conditional geometric phase shift with NMR
• Geometric phase in open systems
• Geometric Quantum Computation
• Berry phase for a spin 1/2 in a classical fluctuating field
• Berry phase in a non-isolated system
• Effect of noise on geometric logic gates for quantum computation

Cited by in corpus (10)

• Geometric phase with nonunitary evolution in presence of a quantum critical bath
• Composite pulses in NMR as non-adiabatic geometric quantum gates
• Nonadiabatic Dynamics of a Dissipative Two-level System
• Environmentally-induced effects on a bipartite two-level system: geometric phase and entanglement properties
• Spin bath interactions effects on the geometric phase
• Geometric phases under the presence of a composite environment
• Conditions for Equivalent Noise Sensitivity of Geometric and Dynamical Quantum Gates
• Reverse engineering of one-qubit filter functions with dynamical invariants
• Suppression of non-adiabatic phases by a non-Markovian environment: easier observation of Berry phases
• Nonadiabatic evolution and thermodynamics of a time-dependent open quantum system