170 citations · 1.2k across the 33 of their papers we have counts for
33 papers
Krylov Complexity and Spectral Form Factor for Noisy Random Matrix Models
Arpan Bhattacharyya, S. Shajidul Haque, Ghadir Jafari +2
We study the spectral properties of two classes of random matrix models: non-Gaussian RMT with quartic and sextic potentials, and RMT with Gaussian noise. We compute and analyze th…
Krylov Complexity for Jacobi Coherent States
S. Shajidul Haque, Jeff Murugan, Mpho Tladi +1
We develop computational tools necessary to extend the application of Krylov complexity beyond the simple Hamiltonian systems considered thus far in the literature. As a first step…
Decoherence, Entanglement Negativity and Circuit Complexity for Open Quantum System
Arpan Bhattacharyya, Tanvir Hanif, S. Shajidul Haque +1
In this paper, we compare the saturation time scales for complexity, linear entropy and entanglement negativity for two open quantum systems. Our first model is a coupled harmonic…
Spread Complexity and Topological Transitions in the Kitaev Chain
Pawel Caputa, Nitin Gupta, S. Shajidul Haque +3
A number of recent works have argued that quantum complexity, a well-known concept in computer science that has re-emerged recently in the context of the physics of black holes, ma…
Complexity for Open Quantum System
Arpan Bhattacharyya, Tanvir Hanif, S. Shajidul Haque +1
We study the complexity for an open quantum system. Our system is a harmonic oscillator coupled to a one-dimensional massless scalar field, which acts as the bath. Specifically, we…
Operator Complexity for Quantum Scalar Fields and Cosmological Perturbations
S. Shajidul Haque, Chandan Jana, Bret Underwood
We calculate the operator complexity for the displacement, squeeze and rotation operators of a quantum harmonic oscillator. The complexity of the time-dependent displacement operat…