Quantum Matter Group
Simulating Lattice Gauge Theories within Quantum Technologies
Gauge theories are one of the cornerstones on which we have based our description of Nature. The concept of gauge symmetry is a fundamental principle to understand particle physics and the basic constituents of matter. Moreover, these ideas also emerge in the characterization of strongly correlated quantum many-body systems in condensed matter physics and material science. Even, gauge symmetry has revealed as a new resource in the field of topological quantum information. The simulation of the different phases of matter and the real-time evolution of LGT is one of the most important problems in quantum physics due to the deep-rooted consequences and for practical applications, linking theoretical and experimental physics. As such, this proposal also has strong links with experimental physics and current quantum technology. Recently, with collaborators in quantum information, quantum optics and particle physics, we have developed the first simulations of LGT with new variational techniques directly designed for this aim and we have proposed to use tabletop experiments in atomic physics and solid-state platforms to quantum simulate the dynamics and the behavior of these models in regions of the parameters space inaccessible for nowadays methods.
Topological Quantum Matter as a Quantum Resource
Topological quantum states of matter are very rare and until recently the quantum Hall state provided the only experimentally realized example. The discovery of the quantum Hall effect and the subsequent development of topological band theory have opened new and unexpected research lines where deep theoretical insights have developed in parallel with search for applications in electronics and quantum information science. In fact, the application of topology to physics was first initiated in particle physics and quantum field theory. Hence, topological states of quantum matter now offer a new laboratory to test some of the most profound ideas in mathematics and physics. Topological states of quantum matter are generally described by topological field theories, which depend only on the topology of the underlying space. Recently, quantum technologies promise a breakthrough to overcome the severe limitations of classical simulations. For instance, these technologies have already been able to quantum simulate condensed matter models with global symmetries and quantum phase transitions. This project will explore applications of quantum technologies to the study of models with topological properties that goes beyond the standard global one.