Quantum Simulation

Supervisor: Luca Barbiero

Quantum simulation aims to unveil novel quantum mechanical effects and phases of matter whose existence cannot be predicted through analysis based on classical or semiclassical approaches. In order to get insight on this exciting new topic, we combine two approaches:
- the use quantum algorithms based on tensor networks architectures. This numerical technique represents the most powerful approach able to accurately take into account the role of quantum fluctuations peculiar of interacting ultraquantum low dimensional systems.
-the design of possible schemes specific for ultracold atomic quantum simulators aiming at an efficient model engineering and probing scheme of novel many-body states of matter
Due to the high versatility of both the tensor networks methods and the considered quantum simulators, the subjects of interest cover several aspect of modern quantum physics. The latter include (but are not limited to):
-many-body topological phases to perform topological quantum computation, see Phys. Rev. Lett. 131, 263001 (2022), Quantum 8, 1285 (2024)
-lattice gauge theories peculiar of condensed matter and high energy physics where charged particles couple to dynamical gauge fields, see Phys. Rev. Lett. 127, 167203, (2021), Quantum 7, 1004 (2023)
-novel quantum mechanical effects taking place in strongly frustrated quantum systems, see Phys. Rev. Research 4, L032005 (2022), Phys. Rev. Research 5, L042008 (2023)
-the discovery and characterization of models where new kind of phase transitions not capture by the Landau’s theory can emerge, see Phys. Rev. Lett. 128, 043402 (2022) and arXiv:2309.03193