# Hamiltonian approaches to the physics of strongly correlated many body quantum- systems, focus on gauge theories

#### Hamiltonian approaches to the physics of strongly correlated many body quantum- systems, focus on gauge theories

- Event time: 2:00pm
- Event date: 3rd November 2016
- Speaker: Luca Tagliacozzo (University of Strathclyde)
- Location: Higgs Centre Seminar Room, James Clerk Maxwell Building (JCMB) James Clerk Maxwell Building Peter Guthrie Tait Road Edinburgh EH9 3FD GB

### Event details

Many body quantum systems are notoriously hard. Exact physical predictions often require exponential resources, and approximate methods such as Monte

Carlo simulations, can only be used in some scenarios (at equilibrium for sign-problem free models).

Here I introduce two complementary sets of ideas both aiming to address and characterise many body quantum systems. One of them allows to perform

approximate Hamiltonian numerical simulations of many body systems with polynomial resources both at equilibrium and out-of-equilibrium, and is based

on expressing the many body wave function as a tensor network. The other is based on the idea that a quantum computer could help addressing the exponential complexity of quantum many body systems. While we still do not have a proper quantum computer, highly controllable quantum systems are already available in the labs. These systems can be used as "quantum simulators", to solve specific problems in quantum many body physics.

I will explain, in this context, my recent works that aim to use both strategies to characterise the strongly interacting regime of lattice gauge theories.

References on tensor network

arXiv:1405.4811

arXiv:1007.4145

References on quantum simulations

arXiv:1601.03303

arXiv:1211.2704

arXiv:1205.0496

### About Particle Physics Theory seminars

The Particle Physics Theory seminar is a weekly series of talks reflecting the diverse interests of the group. Topics include analytic and numerical calculations based on the Standard Model of elementary particle physics, theories exploring new physics, as well as more formal developments in gauge theories and gravity..