Quantum Simulation of Condensed Matter Systems
Quantum simulation of condensed matter systems: why classical methods struggle, which techniques are used and what they reveal about materials.
Quantum simulation of condensed matter systems: why classical methods struggle, which techniques are used and what they reveal about materials.
How quantum simulators and experiments map phase diagrams of quantum materials: phase boundaries, critical points and topological phases.
Simulating quantum systems out of equilibrium, such as after a sudden quench, is hard classically. Quantum algorithms and applications.
Topological insulators and how cold atoms and other quantum simulators reproduce their band structures, edge states and spin Hall effect.
How quantum simulation is used to study exotic states of matter such as unconventional superconductors, topological order and anyons.
The Hubbard model captures strongly interacting electrons on a lattice. How it is simulated with cold atoms, ions and quantum computers.
Dissipative quantum systems lose energy to their environment. How the Lindblad equation describes this and why it matters for quantum technologies.
Quantum phase transitions happen at absolute zero, driven by quantum rather than thermal fluctuations. Quantum criticality and its effect on materials.
Lattice gauge theories put fields such as QCD on a spacetime grid, following Kenneth Wilson. How they could be simulated on qubit hardware.
How quantum field theories could be simulated on quantum computers: lattice discretization, Trotterization and what such simulations could reveal.
Quantum statistical mechanics describes quantum systems in thermal equilibrium. Ensembles, partition functions, Fermi-Dirac and Bose-Einstein statistics.
Feynman’s path integral sums over all possible histories of a system. How it is used for tunneling, scattering, field theory and numerical methods.