Sculpture alcove, Kangaroo Point House, Kangaroo Point, Brisbane

Alcove to deck, as seen from garden.

Crow's nest, Kangaroo Point House, Kangaroo Point, Brisbane

Deck and seating overlooking the river.

Crow's nest, Kangaroo Point House, Kangaroo Point, Brisbane

Deck and seating overlooking river.

Outdoor room, Kangaroo Point House, Kangaroo Point, Brisbane

Looking towards section of original house from outdoor room area. Hand-made spotted gum columns on edge of outdoor room on right.

Crow's nest, Kangaroo Point House, Kangaroo Point, Brisbane

Deck and seating overlooking river.

Battened roof to outdoor room, Kangaroo Point House, Kangaroo Point, Brisbane

Timber battened concave roof and supporting structure over outdoor room area.

Outdoor room, Kangaroo Point House, Kangaroo Point, Brisbane

Dining setting, sculptures, timber columns and curved roof in outdoor room

Crow's nest, Kangaroo Point House, Kangaroo Point, Brisbane

Structure to underside of deck and seating area.

Entanglement in a simple quantum phase transition

What entanglement is present in naturally occurring physical systems at thermal equilibrium? Most such systems are intractable and it is desirable to study simple but realistic systems that can be solved. An example of such a system is the one-dimensional infinite-lattice anisotropic XY model. This model is exactly solvable using the Jordan-Wigner transform, and it is possible to calculate the two-site reduced density matrix for all pairs of sites. Using the two-site density matrix, the entanglement of formation between any two sites is calculated for all parameter values and temperatures. We also study the entanglement in the transverse Ising model, a special case of the XY model, which exhibits a quantum phase transition. It is found that the next-nearest-neighbor entanglement (though not the nearest-neighbor entanglement) is a maximum at the critical point. Furthermore, we show that the critical point in the transverse Ising model corresponds to a transition in the behavior of the entanglement between a single site and the remainder of the lattice.

Timber cross-bracing, Mooloomba House, Point Lookout, North Stradbroke Island

Detail view of timber cross-bracing with polycarbonate sheeting behind as seen from upper level dining studio.

Mooloomba House, Point Lookout, North Stradbroke Island

North elevation, deck below and belvedere above, as seen from path to beach.

South elevation edge, Mooloomba House, Point Lookout, North Stradbroke Island

View along south elevation, stair to belvedere beyond and bedboxes above.

Entrance deck, Mooloomba House, Point Lookout, North Stradbroke Island

View past kitchen windows and roof overhang to entrance deck to the south-west.

View from Mooloomba House, Point Lookout, North Stradbroke Island

View of ocean and coastal vegetation