Presentation
Quantum Universality
SessionArt of HPC Gallery
DescriptionThe artwork explores the phenomena of quantum universality by illustrating the variance of coefficients of the characteristic polynomial for sequences of quantized circulant networks approaching the semiclassical limit, which is the limit of large quantum networks.
Quantum physics describes the behavior of the world at the scale of nanotechnology, where particles behave like waves. Quantum networks of waves in a spider’s web of wires are used to model quantum physics in a complex geometry. A phenomenon observed with quantum physics in a complex environment is universality, where many different quantum systems display the same statistical properties. Universality is possible where quantum waves have large energies or, equivalently, in large networks. In this work, it can be seen as rings of progressively smaller dots approach a constant hue.
We computed the variance of the coefficients of the characteristic polynomial for sequences of quantized circulant networks of increasing size. The radius scales inversely with the size of the network and the hue corresponds to the value of the coefficients.
The characteristic polynomial encodes the spectrum of allowed energy values of the network, which is analogous to the spectrum of musical tones and overtones of a violin. Circulant networks consist of points arranged on a circle where wires connect each point to a set of its closest neighbors, so the network has a symmetry under rotations.
Quantum physics describes the behavior of the world at the scale of nanotechnology, where particles behave like waves. Quantum networks of waves in a spider’s web of wires are used to model quantum physics in a complex geometry. A phenomenon observed with quantum physics in a complex environment is universality, where many different quantum systems display the same statistical properties. Universality is possible where quantum waves have large energies or, equivalently, in large networks. In this work, it can be seen as rings of progressively smaller dots approach a constant hue.
We computed the variance of the coefficients of the characteristic polynomial for sequences of quantized circulant networks of increasing size. The radius scales inversely with the size of the network and the hue corresponds to the value of the coefficients.
The characteristic polynomial encodes the spectrum of allowed energy values of the network, which is analogous to the spectrum of musical tones and overtones of a violin. Circulant networks consist of points arranged on a circle where wires connect each point to a set of its closest neighbors, so the network has a symmetry under rotations.
Event Type
Art of HPC
TimeSunday, 16 November 20258:00am - 6:00pm CST
LocationArt of HPC - Plaza Lobby
Art of HPC