Adiabatic approximation for weakly open systems

Journal Article · Mon Aug 15 00:00:00 EDT 2005 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.72.022328· OSTI ID:20718087

Thunstroem, Patrik; Aaberg, Johan; Sjoeqvist, Erik ^[1]

---

1. Department of Quantum Chemistry, Uppsala University, Box 518, SE-751 20 Uppsala (Sweden)

We generalize the adiabatic approximation to the case of open quantum systems, in the joint limit of slow change and weak open system disturbances. We show that the approximation is 'physically reasonable' as under wide conditions it leads to a completely positive evolution, if the original master equation can be written on a time-dependent Lindblad form. We demonstrate the approximation for a non-Abelian holonomic implementation of the Hadamard gate, disturbed by a decoherence process. We compare the resulting approximate evolution with numerical simulations of the exact equation.

• OSTI ID: 20718087
• Journal Information: Physical Review. A, Vol. 72, Issue 2; Other Information: DOI: 10.1103/PhysRevA.72.022328; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
ADIABATIC APPROXIMATION
COMPARATIVE EVALUATIONS
DISTURBANCES
GATING CIRCUITS
IMPLEMENTATION
INFORMATION THEORY
QUANTUM COMPUTERS
QUANTUM MECHANICS
SIMULATION
TIME DEPENDENCE