ua nt - p h / 99 02 06 1 v 1 1 7 Fe b 19 99 DOE - ER - 40757 - 124 UTEXAS - HEP - 99 - 2 Geometric Phases for Three State Systems
نویسنده
چکیده
The adiabatic geometric phases for general three state systems are discussed. An explicit parameterization for space of states of these systems is given. The abelian and non-abelian connection one-forms or vector potentials that would appear in a three dimensional quantum system with adiabatic characteristics are given explicitly. This is done in terms of the Euler angle parameterization of SU(3) which enables a straight-forward calculation of these quantities and its immediate generalization. [email protected]
منابع مشابه
ua nt - p h / 99 06 10 0 v 2 2 2 N ov 1 99 9 SU ( 2 ) coherent state path integrals based on arbitrary fiducial vectors and geometric phases
We develop the formulation of the spin(SU(2)) coherent state path integrals based on arbitrary fiducial vectors. The resultant action in the path integral expression extensively depends on the vector; It differs from the conventional one in that it has a generalized form having some additional terms. We also study, as physical applications, the geometric phases associated with the coherent stat...
متن کاملar X iv : q ua nt - p h / 06 02 15 4 v 1 1 7 Fe b 20 06 Geometric phases and criticality in spin systems
A general formalism of the relation between geometric phases produced by circularly evolving interacting spin systems and their criticality behavior is presented. This opens up the way for the use of geometric phases as a tool to study regions of criticality without having to undergo a quantum phase transition. As a concrete example a spin-1/2 chain with XY interactions is presented and the cor...
متن کاملar X iv : q ua nt - p h / 99 06 10 0 v 1 2 6 Ju n 19 99 A new form of SU ( 2 ) coherent state path integrals based on arbitrary starting vectors
We develop the formulation of the spin(SU(2)) coherent state path integrals based on arbitrary starting vectors. The resultant action in the path integral expression extensively depends on the vector; it differs from the conventional one in that it has a generalized form having some additional terms. We also study, as physical applications, the geometric phases associated with the CS path integ...
متن کاملua nt - p h / 99 06 02 3 v 2 1 1 Ju n 19 99 Classical interventions in quantum systems . I . The measuring process
The measuring process is an external intervention in the dynamics of a quantum system. It involves a unitary interaction of that system with a measuring apparatus, a further interaction of both with an unknown environment causing decoherence, and then the deletion of a subsystem. No ancilla is needed. The final result is represented by a completely positive map of the quantum state ρ (possibly ...
متن کاملua nt - p h / 99 06 02 3 v 1 7 J un 1 99 9 Classical interventions in quantum systems . I . The measuring process
The measuring process is an external intervention in the dynamics of a quantum system. It involves a unitary interaction of that system with a measuring apparatus, a further interaction of both with an unknown environment causing decoherence, and then the deletion of a subsystem. No ancilla is needed. The final result is represented by a completely positive map of the quantum state ρ (possibly ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2008