146 citations · 1.3k across the 24 of their papers we have counts for
11 papers · 1 filter
Complexity of Quadratic Quantum Chaos
Pallab Basu, Suman Das, Pratik Nandy
We investigate minimal two-body Hamiltonians with random interactions that generate spectra resembling those of Gaussian random matrices, a phenomenon we term quadratic quantum cha…
Free Probability approach to spectral and operator statistics in Rosenzweig-Porter random matrix ensembles
Viktor Jahnke, Pratik Nandy, Kuntal Pal +2
Utilizing the framework of free probability, we analyze the spectral and operator statistics of the Rosenzweig-Porter random matrix ensembles, which exhibit a rich phase structure…
Tridiagonal Hamiltonians modeling the density of states of the Double-Scaled SYK model
Pratik Nandy
By analyzing the global density of states (DOS) in the Double-Scaled Sachdev-Ye-Kitaev (DSSYK) model, we construct a finite-dimensional Hamiltonian that replicates this DOS. We the…
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…
Balanced Partial Entanglement and Mixed State Correlations
Hugo A. Camargo, Pratik Nandy, Qiang Wen +1
Recently in Ref.\cite{Wen:2021qgx}, one of the authors introduced the balanced partial entanglement (BPE), which has been proposed to be dual to the entanglement wedge cross-sectio…
Q-curvature and Path Integral Complexity
Hugo A. Camargo, Pawel Caputa, Pratik Nandy
We discuss the interpretation of path integral optimization as a uniformization problem in even dimensions. This perspective allows for a systematical construction of the higher-di…
Bath deformations, islands and holographic complexity
Aranya Bhattacharya, Arpan Bhattacharyya, Pratik Nandy +1
Considering a doubly holographic model, we study the evolution of holographic subregion complexity corresponding to deformations of bath state by a relevant scalar operator, which…
Partial islands and subregion complexity in geometric secret-sharing model
Aranya Bhattacharya, Arpan Bhattacharyya, Pratik Nandy +1
We compute the holographic subregion complexity of a radiation subsystem in a geometric secret-sharing model of Hawking radiation in the "complexity = volume" proposal. The model i…
Capacity of Entanglement in Local Operators
Pratik Nandy
We study the time evolution of the excess value of capacity of entanglement between a locally excited state and ground state in free, massless fermionic theory and free Yang-Mills…
Islands and complexity of eternal black hole and radiation subsystems for a doubly holographic model
Aranya Bhattacharya, Arpan Bhattacharyya, Pratik Nandy +1
We study the entanglement islands and subsystem volume complexity corresponding to the left/ right entanglement of a conformal defect in -dimensions in Randall-Sundrum (RS) bran…
Renormalized Circuit Complexity
Arpan Bhattacharyya, Pratik Nandy, Aninda Sinha
We propose a modification to Nielsen's circuit complexity for Hamiltonian simulation using the Suzuki-Trotter (ST) method, which provides a network like structure for the quantum c…