Correlations in low dimensional quantum systems

Nyomtatóbarát változatNyomtatóbarát változat
Doctoral school: 
Fizikai Tudományok Doktori Iskola
Márton Kormos
Department of Theoretical Physics
Job title: 
associate professor
Academic degree: 

The PhD project is focused on correlation functions in interacting low dimensional many-body quantum systems and quantum field theories.


The significance of low dimensional quantum systems stems from various different aspects. On the one hand, the low dimensionality enhances quantum fluctuations, so these systems are often strongly correlated. On the other hand, distinguished members of this group of models are the so-called integrable systems which allow for a non-perturbative or exact description. Apart from their theoretical significance, these systems can be studied experimentally both in condensed matter systems (spin chains, carbon nanotubes etc.), and with trapped ultra-cold atoms. Quantum field theories provide the low-energy effective description of many-body systems in the vicinity of a critical point. In one spatial dimension, the powerful technique of bosonisation can be used to capture the low energy properties in terms of a bosonic field theory.


The most important experimental and theoretical probes of many-body systems are related to correlation functions. The goal of the project is the computation of experimentally relevant correlation functions in various physical situations, including zero and finite temperature equilibrium states, non-equilibrium steady states, and in time evolving out-of-equilibrium states after a quantum quench. The project will mainly focus on quantum field theories such as the sine-Gordon model that gives the effective description of many gapped one dimensional systems via bosonisation. The PhD student will learn and apply different theoretical and numerical techniques, including the so-called fluctuating surface method, the truncated conformal space approach, and analytic methods based on integrability such as the Generalised Hydrodynamics (GHD) framework.

The applicant must have good analytical and numerical skills, a firm background in theoretical physics, and affinity to do numerical work.
Project type: 
PhD project for standard admission