38 research outputs found
Qubism: self-similar visualization of many-body wavefunctions
A visualization scheme for quantum many-body wavefunctions is described,
which we have termed qubism. Its main property is its recursivity: increasing
the number of qubits reflects in an increase in the image resolution. Thus, the
plots are typically fractal. As examples, we provide images for the ground
states of commonly used Hamiltonians in condensed matter and cold atom physics,
such as Heisenberg or ITF. Many features of the wavefunction, such as
magnetization, correlations and criticality, can be visualized as properties of
the images. In particular, factorizability can be easily spotted, and a way to
estimate the entanglement entropy from the image is provided
The Correlated Block Renormalization Group
We formulate the standard real-space renormalization group method in a way
which takes into account the correlation between blocks. This is achieved in a
dynamical way by means of operators which reflect the influence on a given
block of its neighbours. We illustrate our method in the example of the
tight-binding model in 1D and 2D for various types of boundary conditions.Comment: LATEX file, 18 pages, 7 figures available upon reques
Quantum manipulation via atomic-scale magnetoelectric effects
Magnetoelectric effects at the atomic scale are demonstrated to afford unique
functionality. This is shown explicitly for a quantum corral defined by a wall
of magnetic atoms deposited on a metal surface where spin-orbit coupling is
observable. We show these magnetoelectric effects allow one to control the
properties of systems placed inside the corral as well as their electronic
signatures; they provide alternative tools for probing electronic properties at
the atomic scale