This series covers all areas of research at Perimeter Institute, as well as those outside of PI's scope.
Entropy plays a fundamental role in quantum information theory through applications ranging from communication theory to condensed matter physics. These applications include finding the best possible communication rates over noisy channels and characterizing ground state entanglement in strongly-correlated quantum systems. In the latter, localized entanglement is often characterized by an area law for entropy. Long-range entanglement, on the other hand, can give rise to topologically ordered materials whose collective excitations are robust against local noise.
Black holes lead a double life, simultaneously the dark, enigmatic, hairless consequence of general relativity and the powerful engines lurking at the hearts of galaxies with cosmological consequences.
Quantum gravity is about finding out what is the more fundamental nature of spacetime, as a physical system. Several approaches to quantum gravity, suggest that the very description of spacetime as a continuum fails at shorter distances and higher energies, and should be replaced by one in terms of discrete, pre-geometric degrees of freedom, possibly of combinatorial and algebraic nature.
Condensed matter systems offer a unique opportunity to study "emergence".
Paul Dirac has been called ‘the first truly modern theoretical physicist’. In the latter part of his life, he was obsessed by the idea that the fundamental laws of nature must have mathematical beauty. This was ‘almost a religion to him’, he said. In this talk, I shall trace the origins of his fascination with this idea (going back to his school education) and question the account he gave of his contribution to quantum mechanics and field theory, which he often said emerged from his aesthetic perspective.
It's usually assumed that youtube is just for kittens, babies, and music videos. However, youtube is also the highest-traffic site on the internet and it turns out it's actually a darn good place to teach people about physics!
Cold atomic gases in optical lattices are emerging as excellent laboratories for testing models of strongly interacting particles in
condensed matter physics. It is possible to tune the interactions,
dimensionality, spin, statistics and a host of other variables in a
completely disorder free environment. This has opened up unique possibilities of mapping out phase diagrams of quantum models and
observing quantum phase transitions for the very first time. I will
discuss some of the challenges in this field.
Besides their experimental relevance in condensed matter and quantum information science, quantum spin systems are an interesting playground to study decoherence and quantum entanglement. Random matrices are used since the 50' to model quantum chaotic dynamics and complex quantum systems. I introduce new random matrix models which lead to explicit solutions for some simple open or closed quantum spin systems.