Thesis supervisor: Gábor Takács
Location of studies (in Hungarian): Department of Theoretical Physics, Institute of Physics Abbreviation of location of studies: BME
Description of the research topic:
Due to experimental advances, the dynamics of strongly correlated systems is at the forefront of interest in contemporary research. In low-dimensional systems, quantum fluctuations are enhanced, and strong correlations often occur. Despite these complications, a number of such systems are integrable, which allows derivation of many exact results, and also leads to very powerful non-perturbative techniques which can be used even when integrability is broken. Recently there has been a large progress in understanding equilibration and thermalisation in such systems, as well as the special equilibrium states (generalised Gibbs ensemble) that characterise the equilibrium state of integrable ones. However, much less is understood concerning the temporal unfolding of out-of-equilibrium dynamics, and the construction of correlation functions is also quite a challenge, both in and out of equilibrium.
Our specific aims include:
- extending methods to compute the time evolution to new systems;
- finding an efficient construction for correlation functions in and out of equilibrium and use them to study the physical properties of these systems;
- understand the effects of integrability breaking;
- understand the effect of non-perturbative phenomena on dynamics, e.g. confinement and the presence of long-lived metastable excitations.
We shall apply existing, and also develop new analytic and numerical methods to investigate these issues, and to obtain a full quantum description of the dynamics both in the continuum and on the lattice.
Besides solving theoretical problems, we also aim to obtain results that are directly relevant in the experimental context, as well as for simulations performed by quantum computers.
Requirements:
To be successful in this endeavour, a strong background in theoretical physics, especially quantum theory and statistical physics is required, including familiarity with fundamentals of quantum field theory. In addition, the candidate must have affinity for both analyticand numerical computations.
Required language skills: English Number of students who can be accepted: 1
Deadline for application: 2024-05-31
2024. IV. 17. ODT ülés Az ODT következő ülésére 2024. június 14-én, pénteken 10.00 órakor kerül sor a Semmelweis Egyetem Szenátusi termében (Bp. Üllői út 26. I. emelet).
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