146 citations · 473 across the 19 of their papers we have counts for
8 papers · 1 filter
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…
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…
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…
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…
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…