Complexity, Chaos and Quantum Information

• Grant number: 24/13100-8
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: November 01, 2024
• End date: October 31, 2026
• Field of knowledge: Physical Sciences and Mathematics - Physics - Condensed Matter Physics
• Principal Investigator: Nathan Jacob Berkovits
• Grantee: Debarghya Chakraborty
• Host Institution: Instituto de Física Teórica (IFT). Universidade Estadual Paulista (UNESP). Campus de São Paulo. São Paulo , SP, Brazil
• Associated research grant: 21/14335-0 - ICTP South American Institute for Fundamental Research: a regional center for Theoretical Physics, AP.ESP

Abstract

This postdoctoral position will focus on two main areas: 1) understanding quantum dynamics in generic systems and 2) developing the quantum informa- tion tools to characterize dynamics and symmetry. Generic quantum systems are chaotic but it is an important question to understand which of their prop- erties are universal and which are dictated by the degree of locality, symmetry and specifics of the model and the probes used. Quantum information con- cepts like complexity are powerful tools for such analysis. Beyond dynamics, quantum information concepts are also important for kinematically character- izing the properties of rich physical systems with many degrees of freedom. We will tackle these conceptually related questions with a variety of analytical and numerical techniques across different settings. Our work is expected to have a multidisciplinary impact across the fields of high energy physics, condensed matter physics and quantum information.