Quantum Matter Seminar- Laimei Nie (Purdue University)- Proper Correlation Measures: The Case with Rényi Mutual Information

Photo of Laimei Nie in front of a chalkboard
September 25, 2023
10:00AM - 11:30AM
1080 Physics Research Building

Date Range
Add to Calendar 2023-09-25 10:00:00 2023-09-25 11:30:00 Quantum Matter Seminar- Laimei Nie (Purdue University)- Proper Correlation Measures: The Case with Rényi Mutual Information Dr. Laimei Nie Purdue University Proper Correlation Measures: The Case with Rényi Mutual Information Location: 1080 Physics Research Building Faculty Host: Brian Skinner 1080 Physics Research Building Department of Physics physics@osu.edu America/New_York public

Dr. Laimei Nie

Purdue University

Proper Correlation Measures: The Case with Rényi Mutual Information

Location: 1080 Physics Research Building

Faculty Host: Brian Skinner

Photo of Laimei Nie in front of a chalkboard

Abstract: Mutual information, defined via the linear combinations of von Neumann entanglement entropies, measures the total correlations between two subsystems and has played a vital role in characterizing equilibrium and non-equilibrium phenomena in many-body physics. In practice, its Rényi counterpart is usually computed owing to its simplicity. However, this commonly used notion of Rényi Mutual Information (RMI) cannot be interpreted as a measure of correlation, because it is neither non-negative nor does it satisfy the Data Processing Inequality. In this talk, we will explore several classes of properly defined RMIs. In particular, we develop an easily implementable replica trick which enables us to evaluate these RMIs in a variety of many-body systems, including 2D conformal field theories and random tensor networks. We will also discuss the prospect of measuring these new RMIs in quantum simulator experiments.

Bio: Laimei Nie obtained her PhD from Stanford University and is currently an assistant professor at Purdue University. She is broadly interested in topics related to many-body quantum dynamics, such as quantum chaos, quantum thermalization, and localization.

 

 

Students and postdocs are invited to stay and chat with the speaker from 11:30-12:00.