**what we would like to do**

projects marked with

projects marked with

**M**are suitable for a MS thesis (laurea magistrale)projects marked with

**D**are suitable for a PhD thesis (dottorato)*******

**towards an experimental realization:**

- We need to investigate further the tolerance shown by the soliton-generation scheme with respect to the specific time-dependence of the applied magnetic field.
**M** - We plan to consider the possible effects of exchange and single-site anisotropies in the spin-chain hamiltonian on the functioning of the transmission line.
**M**

**environmental criticality effects:**

We aim at understanding how the effects of a many-body magnetic environment on the principal system, typically one or a couple of qubits, vary when the environment is near, or at, one of its quantum-critical points. We would like to investigate the role on the open quantum system dynamics of the occurrence of critical slowing down and/or long-range correlations.

**M&D**

**from Lindblad to Langevin, and back:**

- We aim at exploting the parametric representation of the reduced density matrix for a principal system, in order to derive its exact equation of motion in terms of the hamiltonian describing the interaction with the environment. We believe this might lead to a better understanding of the origin of non-markovianity, possibly claryfing the origin of the Lindblad equation and the physical meaning of the Lindblad operators. Moreover, this analysis should clarify the connection between the quantum Langevin equation and the Lindblad formalism.
**M&D**

- We would like to start dealing with quantum thermodynamics, referring both to approaches based on the path-integral formulation of quantum statistical mechanics and the more recently introduced analysis based on quantum information theory and open quantum systems dynamics.
**D**

**quantum noise:**

- We plan to study if and how the dynamics of a disordered quantum environment can be responsible for the principal system to be affected by quantum noise and, if yes, how the back action can influence the main features of such noise. A more general analysis of quantum noise is also being considered.
**D**

**quantum Fisher information:**

- We would like to understand what is the relation between the quantum Fisher information and the probability density of environmental coherent states that appears in the parametric representation of the density operator. We believe this might clarify aspect of the quantum measurement process.
**M**

**quantum darwinism:**

- We plan to first demonstrate, by means of the parametric representation with environmental coherent states, that any type of dynamics that generates entanglement between a principal system and its environment reduces to a measure-like dynamics as the environment becomes macroscopic. We further plan to extend our description of the quantum measurement process so as to naturally include quantum darwinism..
**M&****D**