Geometric phase for an adiabatically evolving open quantum system

Abstract

We derive an elegant solution for a two-level system evolving adiabatically under the influence of a driving field with a time-dependent phase, which includes open system effects such as dephasing and spontaneous emission. This solution, which is obtained by working in the representation corresponding to the eigenstates of the time-dependent Hermitian Hamiltonian, enables the dynamic and geometric phases of the evolving density matrix to be separated and relatively easily calculated.

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• Nonequilibrium thermal entanglement in three-qubit $XX$ model
• Dynamical invariants and nonadiabatic geometric phases in open quantum systems
• A time dependent Markovian master equation for adiabatic systems and its application to the Cooper pair pumping
• Decoherence-induced geometric phase in a multilevel atomic system
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• Entanglement Effect on Off-diagonal Geometric Phase
• Witnessing entanglement via the geometric phase in a impurity-doped Bose-Einstein condensate