Effective Hamiltonian approach to adiabatic approximation in open systems

Abstract

The adiabatic approximation in open systems is formulated through the effective Hamiltonian approach. By introducing an ancilla, we embed the open system dynamics into a non-Hermitian quantum dynamics of a composite system, the adiabatic evolution of the open system is then defined as the adiabatic dynamics of the composite system. Validity and invalidity conditions for this approximation are established and discussed. A High-order adiabatic approximation for open systems is introduced. As an example, the adiabatic condition for an open spin-$\frac{1}{2}$ particle in time-dependent magnetic fields is analyzed.

6 pages, 2 figures

References in corpus (3)

• Grothendieck's constant and local models for noisy entangled quantum states
• Adiabatic approximation in open quantum systems
• Genuine quantum trajectories for non-Markovian processes

Cited by in corpus (5)

• The role of the geometric phases in adiabatic populations tracking for non-hermitian hamiltonians
• Effective Hamiltonian Approach to Open Systems and Its Applications
• The adiabatic theorem in the presence of noise
• Dissipation Effects in Hybrid Systems
• Born-Oppenheimer approximation for open quantum systems within the quantum trajectory approach