QUANTLATTICE · Ground states, symmetries and dynamics of quantum many-body lattice systems
Horizon 2020 — Marie Skłodowska-Curie Actions
- Duration
- 2021-08-01 → 2024-03-01
- EU contribution
- €207,312
- Participants
- 1
- Scheme
- MSCA-IF
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Results in brief
Ground states, symmetries and dynamics of quantum many-body lattice systems
Quantum technology has the potential to revolutionize all aspects of computation and communication. The societal impact would be broad in scope, given that, for example, computing devices and Internet applications are ubiquitous in everyday life, all around the world. Quantum devices would also offer new insights into the basic sciences, accelerating our understanding of physics, chemistry and biology. Realizing this potential will require scientific achievements in both implementation and theory. Increasingly mature schemes for quantum computation require better understanding of the relevant physical objects. One such object is the quantum mechanical state, which is a probabilistic description of possible outcomes of a quantum system. A special type of state is called the ground state, describing the lowest energy configuration of a system. Ground states have long been identified to play a special role in both statistical mechanics and quantum computing theory. In this project, we investigated properties of ground states, proving new results about their organization and structure. We focused on systems which fit onto a flat plane, the natural setting of quantum computation, with an overall objective of proving mathematical statements about stable properties of their ground states.
Data: CORDIS, © European Union
Project objective
This project proposes a study of ground state phases of quantum lattice systems. The problem of detecting and describing quantum ground state phase transitions is a fundamental problem in the theory of quantum computing, where quantum information is stored in the ground state space of a many-body interaction. This study focuses on three avenues of research. The first is to investigate the stability of spectral gaps and the existence of symmetric invariants in 2D quantum spin systems. Such a program has already been carried out in frustration free models with local topological quantum order such as models with projected entangled pair ground states, but there remain important and open questions in more general models. The second direction is to study applications of quasi-adiabatic continuation methods to quantum lattice systems with unbounded Hamiltonians. These results would extend known results be applicable to models such as the quantum rotor and yield information about the adiabatic theorem in previously unknown cases. Lastly, the study focuses on propagation velocities and quasi-locality of many-body quantum dynamics.
Original text from CORDIS.
Participants
- KOBENHAVNS UNIVERSITET · KOBENHAVNCoordinatorDenmark
Links
Data: CORDIS, © European Union