H2020Индивидуална стипендия2017–2019

quasiTENS · Quantum Systems Investigated through Tensor Network States

„Хоризонт 2020“ — Действия „Мария Склодовска-Кюри“

Период: 2017-10-01 → 2019-09-30
Финансиране от ЕС: 183 455 €
Участници: 1
Схема: MSCA-IF-EF-ST

Линиите свързват координатора с партньорите.

Накратко на български

Квантовите системи с многочастична локализация действат като идеални изолатори, при които топлината остава фиксирана на едно място, вместо да се разпространява. Разбирането им помага при разработването на квантови компютри, които да съхраняват информация при температури над абсолютната нула.

Този кратък обзор е генериран от изкуствен интелект

Кратко обяснение, генерирано от езиков модел по текста на CORDIS. Оригиналът е по-долу.

Резултати накратко

Quantum Systems Investigated through Tensor Network States

The results of this project all lie in the area of many-body localisation (MBL). Systems which display MBL are perfect heat insulators. That is, if part of an MBL system is heated up, the heat does not propagate but instead gets locally stuck in the system. MBL systems have been proposed as constituents of quantum computers due to their ability to store quantum information at non-zero temperature. So far, MBL has been realised experimentally in optical lattices filled with ultra-cold atomic gases, chains of trapped ions and nitrogen-vacancy centres. There is also ongoing work on realising MBL in genuine solid state systems. This project gives important new insights into MBL systems and their ability to store quantum information: In the first part of the project, the length scales over which heat locally propagates in effectively one-dimensional MBL systems were calculated. In the second part, it was shown mathematically rigorously that MBL systems with certain symmetries are able to protect quantum information at non-zero temperature. Finally, the third part sheds light on the hotly debated question on whether MBL exists in effectively two dimensions. These insights will help to quantify the practical importance of MBL systems for technological applications. Moreover, novel analytical and numerical tensor network methods are developed for the description of MBL systems, further establishing the high relevance of tensor network techniques for the description of quantum matter.

Текст от CORDIS, на английски · Данни: CORDIS, © Европейски съюз

Цел на проекта

Tensor Network States (TNS) are a class of variational wave functions whose number of parameters can be increased systematically in order to improve the accuracy of the approximation. In effectively one dimensional systems, such as certain magnetic insulators, TNS reproduce the macroscopic properties of the ground state by 1 part in 10 million. TNS are expected to eventually give rise to similar accuracies in higher dimensions, though, in this case, their numerical implementation is much more sophisticated.The overall aim of this action is to establish TNS as a standard tool to tackle strongly correlated systems. In order to do so, we want to show that for several outstanding problems in Condensed Matter Physics they allow to approximate the relevant wave functions with unprecedented accuracy.First, we want to use TNS to tackle realistic chiral topological systems, which are characterised by a quantised transport property and might eventually be used to build quantum computers. Our second objective is to employ TNS to describe many-body localised systems, characterised by the absence of heat transport. In particular, we want to analyse different situations that are relevant to experiments, namely heat diffusion when the system is weakly coupled to a heat bath,the effect of symmetries, periodically driven (Floquet) systems, and many-body localisation in two dimensions. Another objective is to use a simple TNS ansatz to approximate the phase diagram of the Fermi-Hubbard model, which is believed to describe high-temperature superconductivity. We expect that the simplicity of the ansatz will shed more light on the physical properties of its phases. Finally, we also want to apply TNS in High Energy Physics, specifically to Lattice Gauge Theories, describing the most fundamental interactions between the particles that appear in nature. Our objective is to represent realistic gauge groups to make TNS suitable for variational calculations of Lattice Gauge Theories.

Оригинален текст от CORDIS (на английски).

Участници

THE CHANCELLOR, MASTERS AND SCHOLARS OF THE UNIVERSITY OF OXFORD · OxfordКоординаторОбединеното кралство