402-0836-16L Quantum Simulations of Gauge Theories
| Semester | Autumn Semester 2024 |
| Lecturers | M. Krstic Marinkovic |
| Periodicity | two-yearly recurring course |
| Course | Does not take place this semester. |
| Language of instruction | English |
Courses
| Number | Title | Hours | Lecturers | |
|---|---|---|---|---|
| 402-0836-16 V | Quantum Simulations of Gauge Theories Does not take place this semester. | 2 hrs | M. Krstic Marinkovic | |
| 402-0836-16 U | Quantum Simulations of Gauge Theories Does not take place this semester. | 1 hrs | M. Krstic Marinkovic |
Catalogue data
| Abstract | Divided into three parts, the course introduces various aspects of lattice quantum field theory (QFT), gauge symmetries, quantum simulators, and implementation schemes. Other than highlighting the strengths and weaknesses of the lattice formulation of QFTs suitable for Monte Carlo simulations, the course discusses practical realization of quantum simulators for gauge theories. |
| Learning objective | After acquiring the foundations on lattice formulation of gauge theories, and challenges of conventional Monte Carlo simulation approaches, the students will learn about different strategies for quantum simulation of gauge theories and their implementation on digital and analog quantum devices. |
| Content | 1. Background and Motivation 1.1 From Quantum Field Theories to Lattice field theories; 1.2 Lattice Gauge Theories - Lagrangian formulation, gauge symmetries, observables; 1.3 Monte Carlo simulations, sign problems, and complex actions. 2. Road-map for Quantum Simulation of Gauge Theories 2.1 Hamiltonian formulation, Wilson’s formulation, and the infinite Hilbert spaces; 2.2 Finite Hilbert spaces: Z(N) gauge theories. Dualizing the Ising model and relation with the toric code; 2.3 Finite Hilbert spaces: Quantum link models for Abelian gauge theories; 2.4 Finite Hilbert spaces: Quantum link models for non-Abelian gauge theories; 2.5 Exploring the physics of gauge theories - phases, dynamics, and thermalization; 2.6 Exploring methods for gauge theories - exact diagonalization, tensor networks, Monte Carlo. 3. Quantum Simulation Approaches and Platforms 3.1 Digital vs. analog quantum simulations; 3.2 Proposals for simulations of gauge theories, realization, and perspectives. |
| Literature | Quantum chromodynamics on the lattice (Christof Gattringer, Christian B. Lang. Series Title: Lecture Notes in Physics. DOI: https://doi.org/10.1007/978-3-642-01850-3) From Quantum Link Models to D-Theory: A Resource Efficient Framework for the Quantum Simulation and Computation of Gauge Theories, U. J. Wiese |
Performance assessment
| Performance assessment information (valid until the course unit is held again) | |
Performance assessment as a semester course | |
| ECTS credits | 6 credits |
| Examiners | M. Krstic Marinkovic, J. C. Pinto Barros |
| Type | graded semester performance |
| Language of examination | English |
| Repetition | Repetition only possible after re-enrolling for the course unit. |
Learning materials
| No public learning materials available. | |
| Only public learning materials are listed. |
Groups
| No information on groups available. |
Restrictions
| There are no additional restrictions for the registration. |
Offered in
| Programme | Section | Type | |
|---|---|---|---|
| Doctorate Physics | Subject Specialisation | W |  |
| High-Energy Physics (Joint Master with IP Paris) | Optional Subjects in Physics | W | |
| Physics Master | Selection: Theoretical Physics | W | |