Ground states, symmetries and dynamics of quantum many-body lattice systems

Informacje na temat projektu

QUANTLATTICE

Identyfikator umowy o grant: 101023822

DOI

10.3030/101023822

Realizacja projektu zakończyła się 30 Listopada 2022

Data podpisania przez KE 14 Kwietnia 2021

Data rozpoczęcia 1 Sierpnia 2021

Data zakończenia 1 Marca 2024

Finansowanie w ramach

• EXCELLENT SCIENCE - Marie Skłodowska-Curie Actions

Koszt całkowity

€ 207 312,00

Wkład UE

€ 207 312,00

Koordynowany przez

KOBENHAVNS UNIVERSITET
Denmark

Periodic Reporting for period 1 - QUANTLATTICE (Ground states, symmetries and dynamics of quantum many-body lattice systems)

Okres sprawozdawczy: 2021-08-01 do 2023-07-31

Podsumowanie kontekstu i ogólnych celów projektu

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.

Prace wykonane od początku projektu do końca okresu sprawozdawczego oraz najważniejsze dotychczasowe rezultaty

During this project, we demonstrated a rigorous proof of a stable gapped phase of ground states for a non-commuting, two-dimensional many-body Hamiltonian. Our results apply to the decorated Affleck-Kennedy-Lieb-Tasaki models. These models are characterized by the presence of two species of spins arranged on a lattice, such as the hexagonal lattice. The outcome of our work is, to the best of our knowledge, the first of its kind and strengthens our understanding of how quantum systems react to perturbations such as noise.

Innowacyjność oraz oczekiwany potencjalny wpływ (w tym dotychczasowe znaczenie społeczno-gospodarcze i szersze implikacje społeczne projektu)

Our results extend state of the art knowledge about decorated Affleck-Kennedy-Lieb-Tasaki ground states, leaving open the possibility of continued analysis to potentially bridge gaps between statistical mechanical models and quantum computation.

The decorated Affleck-Kennedy-Lieb-Tasaki model on a hexagonal lattice.