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.
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
Institute of Eminence Postdoctoral Fellow in the Centre for High Energy Physics (CHEP) of Indian Institute of Science (IISc), Bengaluru. (August 2021-August 2023)
Graduate Student in the Theory Division of Saha Institute of Nuclear Physics (SINP), Kolkata. (August 2016-June 2021)
Master of Science (MSc) in Physics from Indian Institute of Technology Kanpur (IITK). (July 2014-May 2016)
Bachelor of Science (BSc) Physics Honours from Ramakrishna Mission Vidyamandira (RKMV), Belur Math, Howrah. (July 2011-May 2014)