146 citations · 473 across the 19 of their papers we have counts for
19 papers
Spread of Entanglement in Generalized Kicked Ising Chain
Tanay Pathak, Hiromi Ebisu, Tomaž Prosen
We investigate the dynamics of entanglement in a generalized version of the kicked Ising chain, extending the model from the standard qubit case (local dimension ) to higher l…
-Body Range : Exact Order-Range Mapping and Dual-Unitarity
Tanay Pathak
We introduce and study a periodically kicked version of a one-dimensional spin- Ising model with contiguous -body interactions. At specific interaction strengths of the mod…
Krylov space approach to Singular Value Decomposition in non-Hermitian systems
Pratik Nandy, Tanay Pathak, Zhuo-Yu Xian +1
We propose a tridiagonalization approach for non-Hermitian random matrices and Hamiltonians using singular value decomposition (SVD). This technique leverages the real and non-nega…
Probing quantum chaos through singular-value correlations in sparse non-Hermitian SYK model
Pratik Nandy, Tanay Pathak, Masaki Tezuka
Utilizing singular value decomposition, our investigation focuses on the spectrum of the singular values within a sparse non-Hermitian Sachdev-Ye-Kitaev (SYK) model. Unlike the com…
Analytic continuations and numerical evaluation of the Appell , , Lauricella and Lauricella-Saran and their Application to Feynman Integrals
Souvik Bera, Tanay Pathak
We present our investigation of the study of two variable hypergeometric series, namely Appell and series, and obtain a comprehensive list of its analytic continuat…
Operator dynamics in Lindbladian SYK: a Krylov complexity perspective
Budhaditya Bhattacharjee, Pratik Nandy, Tanay Pathak
We use Krylov complexity to study operator growth in the -body dissipative SYK model, where the dissipation is modeled by linear and random -body Lindblad operators. In the l…
- Automated rational approximant for bi-variate series
Souvik Bera, Tanay Pathak
The Chisholm rational approximant is a natural generalization to two variables of the well-known single variable Padé approximant, and has the advantage of reducing to the latter w…
: Algebraic Relations for the Product of Propagators in Feynman integrals
B. Ananthanarayan, Souvik Bera, Tanay Pathak
Motivated by the foundational work of Tarasov, who pointed out that the algebraic relations of the type considered here can lead to functional reduction of Feynman integrals, we su…
Singularities of Feynman Integrals
Tanay Pathak, Ramesh Sreekantan
In this paper, we study the singularities of Feynman integrals using homological techniques. We analyse the Feynman integrals by compactifying the integration domain as well as the…
Closed Form Expressions for Certain Improper Integrals of Mathematical Physics
B. Ananthanarayan, Tanay Pathak, Kartik Sharma
We present new closed-form expressions for certain improper integrals of Mathematical Physics such as certain Ising, Box, and Associated integrals. The techniques we employ here in…
Operator growth in open quantum systems: lessons from the dissipative SYK
Budhaditya Bhattacharjee, Xiangyu Cao, Pratik Nandy +1
We study the operator growth in open quantum systems with dephasing dissipation terms, extending the Krylov complexity formalism of Phys. Rev. X 9, 041017. Our results are based on…
Analytic continuations of the Horn and functions
Souvik Bera, Tanay Pathak
The analytic continuations (ACs) of the double variable Horn and functions have been derived for the first time using the automated symbolic pack…
Krylov complexity in large- and double-scaled SYK model
Budhaditya Bhattacharjee, Pratik Nandy, Tanay Pathak
Considering the large- expansion of the Sachdev-Ye-Kitaev (SYK) model in the two-stage limit, we compute the Lanczos coefficients, Krylov complexity, and the higher Krylov cumul…
Krylov complexity in saddle-dominated scrambling
Budhaditya Bhattacharjee, Xiangyu Cao, Pratik Nandy +1
In semi-classical systems, the exponential growth of the out-of-timeorder correlator (OTOC) is believed to be the hallmark of quantum chaos. However,on several occasions, it has be…
Olsson.wl : a Mathematica package for the computation of linear transformations of multivariable hypergeometric functions
B. Ananthanarayan, Souvik Bera, S. Friot +1
We present the Olssonwl Mathematica package which aims to find linear transformations for some classes of multivariable hypergeometric functions. It is based on a well-known met…
On the Method of Brackets
B. Ananthanarayan, Sumit Banik, Samuel Friot +1
The Method of Brackets (MoB) is a technique used to compute definite integrals, that has its origin in the negative dimensional integration method. It was originally proposed for t…
On the evaluation of the Appell double hypergeometric function
B. Ananthanarayan, Souvik Bera, S. Friot +2
The transformation theory of the Appell double hypergeometric function is used to obtain a set of series representations of which provide an effi…
Eigenstate capacity and Page curve in fermionic Gaussian states
Budhaditya Bhattacharjee, Pratik Nandy, Tanay Pathak
Capacity of entanglement (CoE), an information-theoretic measure of entanglement, defined as the variance of modular Hamiltonian, is known to capture the deviation from the maximal…
Quadratic and quartic integrals using the method of brackets
B Ananthanarayan, Sumit Banik, Sudeepan Datta +1
We use the method of brackets to evaluate quadratic and quartic type integrals. We recall the operational rules of the method and give examples to illustrate its working. The metho…