Geometric phase for an adiabatically evolving open quantum system

Journal Article · Fri Oct 01 00:00:00 EDT 2004 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.70.044103· OSTI ID:20646445

Kamleitner, Ingo ^[1]; Cresser, James D ^[1]; Sanders, Barry C ^[1]

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1. Australian Centre of Excellence for Quantum Computer Technology, Macquarie University, Sydney, New South Wales 2109 (Australia)

We derive a solution for a two-level system evolving adiabatically under the influence of a driving field, which includes open system effects. 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. The dynamic phase can be canceled in the limit of weak coupling to the environment, thereby allowing the geometric phase to be readily extracted both mathematically and operationally.

• OSTI ID: 20646445
• Journal Information: Physical Review. A, Vol. 70, Issue 4; Other Information: DOI: 10.1103/PhysRevA.70.044103; (c) 2004 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
COUPLING
DENSITY MATRIX
EIGENSTATES
ENERGY LEVELS
HAMILTONIANS
MATHEMATICAL SOLUTIONS
SCHROEDINGER EQUATION
TIME DEPENDENCE