Generalized Dicke states
(pp1333-1348)
Stephan
Hartmann
doi:
https://doi.org/10.26421/QIC16.15-16-5
Abstracts:
Quantum master equations are an important tool in quantum
optics and quantum information theory. For systems comprising a small to
medium number of atoms (or qubits), the non-truncated equations are
usually solved numerically. In this paper, we present a
group-theoretical superoperator method that helps solving these
equations. To do so, we exploit the SU(4)-symmetry of the respective
Lindblad operator and construct basis states that generalize the
well-known Dicke states. This allows us to solve various problems
analytically and to considerably reduce the complexity of problems that
can only be solved numerically. Finally, we present three examples that
illustrate the proposed method.
Key words:
Quantum Master Equations, Lie Groups, Decoherence, Bell
States, GHZ States |