Geometric phase in open systems: beyond the Markov approximation and weak coupling limit

Abstract

Beyond the quantum Markov approximation and the weak coupling limit, we present a general theory to calculate the geometric phase for open systems with and without conserved energy. As an example, the geometric phase for a two-level system coupling both dephasingly and dissipatively to its environment is calculated. Comparison with the results from quantum trajectory analysis is presented and discussed.

References in corpus (3)

• Geometric nature of the environment-induced Berry phase and geometric dephasing
• Geometric phase distributions for open quantum systems
• Geometric phase for an adiabatically evolving open quantum system

Cited by in corpus (4)

• Geometric phases in open systems: an exact model to study how they are corrected by decoherence
• Geometric Phase of a qubit interacting with a squeezed-thermal bath
• Geometric phases induced in auxiliary qubits by many-body systems near its critical points
• Non-Markovian Effects on the Geometric Phase