165 citations · 2.7k across the 80 of their papers we have counts for
57 papers · 1 filter
Holographic timelike complexity for de Sitter
Arpan Bhattacharyya, Md Khalid Hossain, Sanhita Parihar +1
We investigate the recent proposal of holographic volume complexity for timelike subregions \cite{Alishahiha:2025xml} in the framework of static patch holography for de Sitter spac…
Probing the self-coherence of primordial quantum fluctuations with complexity
Arpan Bhattacharyya, Suddhasattwa Brahma, S. Shajidul Haque +2
A smoking gun for our current paradigm of the early universe would be direct evidence for the quantum mechanical origin of density perturbations which are conjectured to seed the l…
Benchmarking quantum chaos from geometric complexity
Arpan Bhattacharyya, Suddhasattwa Brahma, Satyaki Chowdhury +1
Recent studies have shown that there is a strong interplay between quantum complexity and quantum chaos. In this work, we consider a new method to study geometric complexity for in…
The Early Universe as an Open Quantum System: Complexity and Decoherence
Arpan Bhattacharyya, Suddhasattwa Brahma, S. Shajidul Haque +2
In this work, we extend previous results, demonstrating how complexity in an open quantum system can identify decoherence between two fields, even in the presence of an acceleratin…
CFT reconstruction of local bulk operators in half-Minkowski space
Arpan Bhattacharyya, Manas Dogra, Shubho R. Roy
We construct a holographic map that reconstructs massless fields (scalars, Maxwell field \& Fierz-Pauli field) in half-Minkowski spacetime in dimensions terms of smeared prim…
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…
Operator growth and Krylov Complexity in Bose-Hubbard Model
Arpan Bhattacharyya, Debodirna Ghosh, Poulami Nandi
We study Krylov complexity of a one-dimensional Bosonic system, the celebrated Bose-Hubbard Model. The Bose-Hubbard Hamiltonian consists of interacting bosons on a lattice, describ…
Worldline effective field theory of inspiralling black hole binaries in presence of dark photon and axionic dark matter
Arpan Bhattacharyya, Saptaswa Ghosh, Sounak Pal
We investigate the correction to the potential that gives rise to the bound orbits and radiation from non-spinning inspiralling binary black holes in a dark matter environment cons…
Holographic complexity of Jackiw-Teitelboim gravity from Karch-Randall braneworld
Aranya Bhattacharya, Arpan Bhattacharyya, Ayan K. Patra
Recently, it has been argued in [1] that Jackiw-Teitelboim (JT) gravity can be naturally realized in the Karch-Randall braneworld in dimensions. Using the `complexity=volum…
Circuit Complexity for Carrollian Conformal (BMS) Field Theories
Arpan Bhattacharyya, Poulami Nandi
We systematically explore the construction of Nielsen's circuit complexity to a non-Lorentzian field theory keeping in mind its connection with flat holography. We consider a 2d bo…
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…
Pseudo complexity of purification for free scalar field theories
Aranya Bhattacharya, Arpan Bhattacharyya, Sabyasachi Maulik
We compute the pseudo complexity of purification corresponding to the reduced transition matrices for free scalar field theories with an arbitrary dynamical exponent. We plot the b…
From CFTs to theories with Bondi-Metzner-Sachs symmetries: Complexity and out-of-time-ordered correlators
Aritra Banerjee, Arpan Bhattacharyya, Priya Drashni +1
We probe the contraction from relativistic CFTs to theories with Bondi-Metzner-Sachs (BMS) symmetries, or equivalently Conformal Carroll symmetries, using diagnostics of quant…
Complexity of warped conformal field theory
Arpan Bhattacharyya, Gaurav Katoch, Shubho R. Roy
Warped conformal field theories in two dimensions are exotic nonlocal, Lorentz violating field theories characterized by Virasoro-Kac-Moody symmetries and have attracted a lot of a…
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…
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…
Quantum Information Scrambling: From Holography to Quantum Simulators
Arpan Bhattacharyya, Lata Kh Joshi, Bhuvanesh Sundar
In this review, we present the ongoing developments in bridging the gap between holography and experiments. To this end, we discuss information scrambling and models of quantum tel…
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…
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…
Complexity from the Reduced Density Matrix: a new Diagnostic for Chaos
Arpan Bhattacharyya, S. Shajidul Haque, Eugene H. Kim
We investigate circuit complexity to characterize chaos in multiparticle quantum systems. In the process, we take a stride to analyze open quantum systems by using complexity. We p…
The Multi-faceted Inverted Harmonic Oscillator: Chaos and Complexity
Arpan Bhattacharyya, Wissam Chemissany, S. Shajidul Haque +2
The harmonic oscillator is the paragon of physical models; conceptually and computationally simple, yet rich enough to teach us about physics on scales that span classical mechanic…
The Rise of Cosmological Complexity: Saturation of Growth and Chaos
Arpan Bhattacharyya, Saurya Das, S. Shajidul Haque +1
We compute the circuit complexity of scalar curvature perturbations on FLRW cosmological backgrounds with fixed equation of state using the language of squeezed vacuum states.…
Cosmological Complexity
Arpan Bhattacharyya, Saurya Das, S. Shajidul Haque +1
We compute the quantum circuit complexity of the evolution of scalar curvature perturbations on expanding backgrounds, using the language of squeezed vacuum states. In particular,…
Universal Local Operator Quenches and Entanglement Entropy
Arpan Bhattacharyya, Tadashi Takayanagi, Koji Umemoto
We present a new class of local quenches described by mixed states, parameterized universally by two parameters. We compute the evolutions of entanglement entropy for both a hologr…