The theoretical study of dissipative quantum systems has received renewed interest as its paradigmatic models are now readily implemented in a variety of experiments. Among the most promising realisations are solid state hybrids combining electronic, mechanic and photonic systems. Examples are combinations of quantum electro dynamics, superconducting quantum bits and nano mechanical systems. The course will cover the basic aspects of quantum coherent manipulation of elementary quantum systems. Furthermore, we will study some of the major theoretical aspects of open or dissipative quantum systems (Path integral and density matrix approach, e.g.. Lindblad equation). All aspects have a strong connection to experimental systems actually investigated in the current research, with particular focus on superconducting quantum circuits, Josephson qubits and quantum nano-electromechanical systems. The main idea is to gain insight into the theoretical basis of the quantum dissipation and decoherence for the description of a specific quantum coherent system.
This course is structured in a first part of introductory lectures and a series of seminars presented by the participants. Each participant will have the possibility to study in detail one topic and to prepare a seminar talk with the supervision of a tutor.
Examples of topics for the seminars:
- dissipative Jaynes-Cumming model
- spin-boson model
- circuit quantum electro dynamics
- nano-electro-mechanical resonators
- optomechanical systems
- superconducting quantum bits
- hybrid quantum systems
- theory of the quantum measurement
- dissipative quantum tunneling and Josephson junctions