Conveners
M2-2 Mathematical and Theoretical Physics (DTP) | Physique mathématique et physique théorique (DPT)
- Olivia Di Matteo (The University of British Columbia)
The ground state wave function and energy of a quantum system with a given Hamiltonian may be approximated using perturbation theory or the variational method. Both methods have limitations, the former requiring the Hamiltonian perturbation be small enough for the series to converge while the latter being only as good as the choice of functions used in the expansion, ultimately providing only...
The dynamics of a quantum system in contact with some external surroundings (a `reservoir') is complex. The total system-reservoir evolution is governed by the (global) Schrödinger equation, but the reduced system dynamical equations are not of that form. If the reservoir is vast and has a short correlation time (little memory), then a markovian approximation is known to be valid. The...
Quantum resource theories are a powerful framework for the quantification of resourcefulness in the quantum world. They arise naturally whenever one has a restriction on what one can do on a quantum system. However, the idea behind them is very general, and can be successfully exported to non-quantum scenarios. After introducing quantum resource theories and their mathematical framework, I...
