Dr. Aranya Bhattacharya

Postdoctoral Researcher (Adiunkt) (2023-Present)

Theory of Complex Systems Department,

 Jagiellonian University, Krakow


 

Welcome

I am a postdoctoral researcher working on theoretical Physics. My main research interests are quantum gravity, holography and quantum information. I try to understand how the quantum version of information is stored in physical systems, from simple quantum mechanical ones to the most complicated ones involving black holes. While I am also developing new ideas and methods for quantifying quantum information theoretic quantities, e.g. entanglement and complexity in most straightforward quantum mechanical systems, the central machinery to apply those ideas systematically within quantum gravity and black hole setups is the famously known holography or AdS/CFT correspondence. This correspondence relates a gravity theory to a quantum field theory (physically closer to quantum mechanical systems) living on the boundary of the gravity theory. I am also interested in exploring the connections between condensed matter and holographic systems through the window of quantum information. This connection enables one to study signatures of holography within much more tractable and sometimes experimentally available setups. If you would like to know more about me and my work, please have a look at the links below.

  important Research findings:

Complexity of Islands

I, along with my collaborators, have worked on the idea of entanglement and computational complexity in situations where the Page curve is reproduced using the concept of entanglement islands. In [1] (single authored paper in PRD), I studied a multiboundary wormhole model while in [2] and [3], we looked at the evolution of the holographic subregion complexity for evaporating and eternal AdS black holes respectively.

Krylov Complexity and Open Quantum Systems

In this program ([4] and [5]), we have developed the notion of operator growth and Krylov complexity for various open quantum systems. We investigate how the notion of chaos changes in presence of interaction with environment. 

Subregion complexity and entanglement thermodynamics

In this work [6], we computed higher order corrections to holographic entanglement entropy and subregion complexity for perturbations around empty AdS spacetime. We find that for general (2n+1)-th order correction in entanglement entropy, one only needs upto n-th order correction to the embedding space. We correspondingly develop a modified version of entanglement thermodynamics where the subregion complexity term is introduced as a `work' term. 

 Previous Affiliations

 Links to all research works:

For further details, check the Talks, Projects, and Contact sections.