H2020Индивидуална стипендия2021–2023

TNTCSA · Tensor Network Truncated Conformal Space Approach

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

Период: 2021-10-01 → 2023-10-31
Финансиране от ЕС: 174 806 €
Участници: 1
Схема: MSCA-IF

Линиите свързват координатора с партньорите.

Накратко на български

Квантовите полета и взаимодействието между елементарни частици се симулират чрез нови числени методи и експерименти с ултрастудени атоми. Това помага за разбирането на сложни физични процеси и създаването на нови технологии, базирани на квантови явления.

Този кратък обзор е генериран от изкуствен интелект

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

Резултати накратко

Tensor Network Truncated Conformal Space Approach

Ultracold atom experiments study the properties and behaviours of small ensembles of atoms cooled to the lowest temperatures in the universe. This opens a window to fully quantum mechanical motion in systems of many particles, offering the opportunity to experimentally simulate physics problems that are too hard to solve and paving the way to novel technological applications that exploit quantum phenomena. One of the theoretical problems that remains a challenge in this field is the numerical simulation of models of quantum field theory. Quantum field theory is the mathematical framework describing the interactions between elementary particles, and it is also useful in condensed matter and atomic physics. The TNTCSA project has developed a novel numerical technique to simulate out-of-equilibrium dynamics in such models. Moreover, it helped to experimentally demonstrate theoretical predictions of quantum field theory both at equilibrium and out of it.

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

Цел на проекта

One of the central research problems in theoretical physics is the dynamics of quantum many-body systems. A challenging open problem is the numerical simulation of out-of-equilibrium dynamics in continuous strongly-interacting models of quantum field theory, which in contrast to lattice models remain hard to study. This has recently become a pressing task, due to rapid advances in ultra-cold atom experiments that have achieved a realisation of the sine-Gordon model, a one-dimensional quantum field theory exhibiting topological excitations.The proposed research aims at:1. The development of a new numerical technique to be named “Tensor Network Truncated Conformal Space Approach” (TNTCSA) for the numerical simulation of quantum dynamics in continuous one-dimensional and strongly-interacting models of significant experimental interest. The method will be built upon the standard TCSA method optimised by using an efficient adaptive truncation scheme, based on Tensor Network techniques also used in the Density Matrix Renormalisation Group and Matrix Product State methods.2. The application of the new method for the simulation of the above mentioned ultra-cold atom experiments, both in and out of equilibrium. We will compute theoretical predictions for equilibrium and dynamical correlations of the quantum sine-Gordon model and compare with experimental data to obtain a precise modelling of the experimental system.3. Building upon this, we will devise a blueprint for experimentally realising a quantum field thermal machine, whose operation will be based on the application of controllable space and time dependent external potentials.The new method is expected to have applications in a broad range of physics areas from particle physics to statistical mechanics and atomic physics.

Оригинален текст от CORDIS (на английски).

Участници

FREIE UNIVERSITAET BERLIN · BerlinКоординаторГермания