6 research outputs found
Spin Decoherence from Hamiltonian dynamics in Quantum Dots
The dynamics of a spin-1/2 particle coupled to a nuclear spin bath through an
isotropic Heisenberg interaction is studied, as a model for the spin
decoherence in quantum dots. The time-dependent polarization of the central
spin is calculated as a function of the bath-spin distribution and the
polarizations of the initial bath state. For short times, the polarization of
the central spin shows a gaussian decay, and at later times it revives
displaying nonmonotonic time dependence. The decoherence time scale dep ends on
moments of the bath-spin distribuition, and also on the polarization strengths
in various bath-spin channels. The bath polarizations have a tendency to
increase the decoherence time scale. The effective dynamics of the central spin
polarization is shown to be describ ed by a master equation with non-markovian
features.Comment: 11 pages, 6 figures Accepted for publication in Phys.Rev
Concurrence Vectors in Arbitrary Multipartite Quantum Systems
For a given pure state of multipartite system, the concurrence vector is
defined by employing the defining representation of generators of the
corresponding rotation groups. The norm of concurrence vector is considered as
a measure of entanglement. For multipartite pure state, the concurrence vector
is regarded as the direct sum of concurrence subvectors in the sense that each
subvector is associated with a pair of particles. It is proposed to use the
norm of each subvector as the contribution of the corresponding pair in
entanglement of the system.Comment: 9 pages, v3, section 3 is revise
Concurrence classes for general pure multipartite states
We propose concurrence classes for general pure multipartite states based on
an orthogonal complement of a positive operator valued measure on quantum
phase. In particular, we construct class, , and
class concurrences for general pure -partite states. We give explicit
expressions for and class concurrences for general pure
three-partite states and for , , and class
concurrences for general pure four-partite states.Comment: 14 page
Concurrence classes for an arbitrary multi-qubit state based on positive operator valued measure
In this paper, we propose concurrence classes for an arbitrary multi-qubit
state based on orthogonal complement of a positive operator valued measure, or
POVM in short, on quantum phase. In particular, we construct concurrence for an
arbitrary two-qubit state and concurrence classes for the three- and four-qubit
states. And finally, we construct and class concurrences for
multi-qubit states. The unique structure of our POVM enables us to distinguish
different concurrence classes for multi-qubit states.Comment: 8 page