Pratik Nandy
Hello everyone! Welcome to my homepage.
Presently, I am an ExU (Extreme Universe collaboration) postdoctoral researcher at Yukawa Institute for Theoretical Physics (YITP), Kyoto University, Japan. I am also associated with iTHEMS, RIKEN.
My primary research focuses on the broad aspects of quantum field theory, holography (quantum gravity), many-body systems, and quantum chaos using quantum information-theoretic tools.
In the past, I also worked on the black hole information problem.
I am interested in understanding quantum chaos in both holography and condensed matter systems. There are various methods to probe chaos in quantum systems.
Traditionally, this involves examining the statistics of energy levels and their correlations, a static approach that does not involve the dynamics of the system.
However, dynamic quantities can also be defined to probe chaos. One such method involves studying operator growth, which captures the information propagation and scrambling in quantum systems.
A simple operator evolves into a complex one over time. In a chaotic system, this growth is expected to be "fast" compared to an integrable system.
We measure this growth using a recently introduced metric known as Krylov complexity. This formalism relies on constructing the Krylov basis and a set of coefficients called Lanczos coefficients,
measuring the spread of the operator through the Krylov chain. The "operator growth hypothesis" posits a universal behavior of these coefficients in chaotic systems.
Inspired by this, we have, for the first time, formulated a Krylov space framework to study operator growth in open quantum systems. This was achieved by generalizing the Lanczos algorithm
to the Arnoldi iteration and the bi-Lanczos algorithm. Our work proposes a universal method to characterize "dissipative quantum chaos" through dynamic quantities.
I am currently investigating the relationship between these dynamic quantities and the spectral statistics in random matrix theory, quantum many-body systems, and understanding dissipative quantum chaos
from a holographic perspective. For more details, please refer to my publications.
I was also a visitor at Princeton Center for Theoretical Science (PCTS), Princeton University, and Berkeley Center for Theoretical Physics, University of California, Berkeley.
My research is supported by the JSPS Grant-in-Aid for Transformative Research Areas (A) "Extreme Universe" No. 21H05190.
Besides my research, I actively pursue traveling, hiking, and mountaineering activities. I also love to play guitar in my leisure time.
My primary research focuses on the broad aspects of quantum field theory, holography (quantum gravity), many-body systems, and quantum chaos using quantum information-theoretic tools.
In the past, I also worked on the black hole information problem.
I am interested in understanding quantum chaos in both holography and condensed matter systems. There are various methods to probe chaos in quantum systems.
Traditionally, this involves examining the statistics of energy levels and their correlations, a static approach that does not involve the dynamics of the system.
However, dynamic quantities can also be defined to probe chaos. One such method involves studying operator growth, which captures the information propagation and scrambling in quantum systems.
A simple operator evolves into a complex one over time. In a chaotic system, this growth is expected to be "fast" compared to an integrable system.
We measure this growth using a recently introduced metric known as Krylov complexity. This formalism relies on constructing the Krylov basis and a set of coefficients called Lanczos coefficients,
measuring the spread of the operator through the Krylov chain. The "operator growth hypothesis" posits a universal behavior of these coefficients in chaotic systems.
Inspired by this, we have, for the first time, formulated a Krylov space framework to study operator growth in open quantum systems. This was achieved by generalizing the Lanczos algorithm
to the Arnoldi iteration and the bi-Lanczos algorithm. Our work proposes a universal method to characterize "dissipative quantum chaos" through dynamic quantities.
I am currently investigating the relationship between these dynamic quantities and the spectral statistics in random matrix theory, quantum many-body systems, and understanding dissipative quantum chaos
from a holographic perspective. For more details, please refer to my publications.
I was also a visitor at Princeton Center for Theoretical Science (PCTS), Princeton University, and Berkeley Center for Theoretical Physics, University of California, Berkeley.
My research is supported by the JSPS Grant-in-Aid for Transformative Research Areas (A) "Extreme Universe" No. 21H05190.
Besides my research, I actively pursue traveling, hiking, and mountaineering activities. I also love to play guitar in my leisure time.
Inspired by this, we have, for the first time, formulated a Krylov space framework to study operator growth in open quantum systems. This was achieved by generalizing the Lanczos algorithm
to the Arnoldi iteration and the bi-Lanczos algorithm. Our work proposes a universal method to characterize "dissipative quantum chaos" through dynamic quantities.
I am currently investigating the relationship between these dynamic quantities and the spectral statistics in random matrix theory, quantum many-body systems, and understanding dissipative quantum chaos
from a holographic perspective. For more details, please refer to my publications.
I was also a visitor at Princeton Center for Theoretical Science (PCTS), Princeton University, and Berkeley Center for Theoretical Physics, University of California, Berkeley.
My research is supported by the JSPS Grant-in-Aid for Transformative Research Areas (A) "Extreme Universe" No. 21H05190.
I was also a visitor at Princeton Center for Theoretical Science (PCTS), Princeton University, and Berkeley Center for Theoretical Physics, University of California, Berkeley.
Besides my research, I actively pursue traveling, hiking, and mountaineering activities. I also love to play guitar in my leisure time.
Publications
Contact
Contact me at the following address
- Office: 2F, 204-205, Maskawa Building for Education and Research, North Campus, Kyoto University,
- Kitashirakawa Oiwakecho, Sakyo-ku,
- Kyoto, Japan
- pratik@yukawa.kyoto-u.ac.jp
- pratiknandy94@gmail.com