Project description
Study explores phase transitions on the quantum level
Phase transitions are commonly encountered in everyday life. A typical example is how water evaporates or freezes at 100 and 0 degrees Celsius, respectively. Such transitions also occur on the mechanical level, between different phases of matter at zero temperature that are primarily driven by quantum fluctuations. Detecting those transitions is fundamental for quantum information storage, where data is stored in the ground state of a system with many-body interactions. Funded by the Marie Skłodowska-Curie Actions programme, the QUANTLATTICE project aims to study the ground-state phases of quantum lattice systems, for example the stability of spectral gaps and the existence of symmetric invariants in 2D quantum spin systems.
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.
Fields of science
Keywords
Programme(s)
Funding Scheme
MSCA-IF - Marie Skłodowska-Curie Individual Fellowships (IF)Coordinator
1165 Kobenhavn
Denmark