activity
20172026
most citedOperator growth and Krylov construction in dissipative open quantum systems

138 citations · 593 across the 19 of their papers we have counts for

collaborators

19 papers

hep-th2026

The quadratic growth of Krylov spread complexity in the BTZ black hole

Aranya Bhattacharya, Mario Flory, Michal P. Heller +2

The boundary quantity that captures the growth of black-hole interiors quantified by holographic complexity remains unknown beyond 2d dilaton gravity. We provide a critical analysi…

hep-th2025

On the role of Area Metrics in AdS/CFT

Aranya Bhattacharya, Lavish Chawla, Mario Flory +1

We explore the potential role of area metrics, a generalised notion of geometry, in the AdS/CFT correspondence. Guided by the Ryu-Takayanagi formula and the first law of entangleme…

quant-ph2024

Quantum complexity and localization in random and time-periodic unitary circuits

Himanshu Sahu, Aranya Bhattacharya, Pingal Pratyush Nath

We study the growth and saturation of complexity in Krylov basis in random quantum circuits. In Haar-random unitary evolution, we show that, for large system sizes, this notion of…

quant-ph2024★ 13 cited

Speed limits to the growth of Krylov complexity in open quantum systems

Aranya Bhattacharya, Pingal Pratyush Nath, Himanshu Sahu

Recently, the propagation of information through quantum many-body systems, developed to study quantum chaos, have found many application from black holes to disordered spin system…

quant-ph2023★ 18 cited

Krylov complexity for non-local spin chains

Aranya Bhattacharya, Pingal Pratyush Nath, Himanshu Sahu

Building upon recent research in spin systems with non-local interactions, this study investigates operator growth using the Krylov complexity in different non-local versions of th…

quant-ph2023

Complexity for one-dimensional discrete time quantum walk circuits

Aranya Bhattacharya, Himanshu Sahu, Ahmadullah Zahed +1

We compute the complexity for the mixed state density operator derived from a one-dimensional discrete-time quantum walk (DTQW). The complexity is computed using a two-qubit quantu…

hep-th2023★ 16 cited

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…

quant-ph2023★ 87 cited

On Krylov complexity in open systems: an approach via bi-Lanczos algorithm

Aranya Bhattacharya, Pratik Nandy, Pingal Pratyush Nath +1

Continuing the previous initiatives arXiv: 2207.05347 and arXiv: 2212.06180, we pursue the exploration of operator growth and Krylov complexity in dissipative open quantum systems.…

hep-th2022★ 22 cited

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…

quant-ph2022★ 138 cited

Operator growth and Krylov construction in dissipative open quantum systems

Aranya Bhattacharya, Pratik Nandy, Pingal Pratyush Nath +1

Inspired by the universal operator growth hypothesis, we extend the formalism of Krylov construction in dissipative open quantum systems connected to a Markovian bath. Our construc…

hep-th2021★ 47 cited

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…

hep-th2021★ 41 cited

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…

hep-th2021★ 94 cited

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…

hep-th2020★ 37 cited

Topological shadows and complexity of islands in multiboundary wormholes

Aranya Bhattacharya, Anindya Chanda, Sabyasachi Maulik +2

Recently, remarkable progress in recovering the Page curve of an evaporating black hole (BH) in Jackiw-Teitelboim gravity has been achieved through use of Quantum Extremal surfaces…

hep-th2020★ 2 cited

HEE and HSC for flavors: perturbative structure in open string geometries

Avik Banerjee, Aranya Bhattacharya, Sabyasachi Maulik

Introduction of electric field in the D-brane worldvolume induces a horizon in the open string geometry perceived by the brane fluctuations. We study the holographic entanglement e…

hep-th2020★ 38 cited

Multipartite Purification, Multiboundary Wormholes and Islands in AdS/CFT

Aranya Bhattacharya

The holographic duals of Entanglement of Purification through the Entanglement Wedge Cross Section has been a well-discussed topic in the literature recently. More general entangle…

hep-th2019★ 24 cited

Entanglement Entropy and Subregion Complexity in Thermal Perturbations around Pure-AdS Spacetime

Aranya Bhattacharya, Kevin T. Grosvenor, Shibaji Roy

We compute the holographic entanglement entropy and subregion complexity of spherical boundary subregions in the uncharged and charged AdS black hole backgrounds, with the \textbf{…

hep-th2018★ 9 cited

Holographic Entanglement Entropy, Subregion Complexity and Fisher Information metric of `black' Non-SUSY D3 Brane

Aranya Bhattacharya, Shibaji Roy

The BPS D3 brane has a non-supersymmetric cousin, called the non-susy D3 brane, which is also a solution of type IIB string theory. The corresponding counterpart of black D3 brane…

hep-th2017★ 7 cited

Holographic entanglement entropy and entanglement thermodynamics of `black' non-susy D3 brane

Aranya Bhattacharya, Shibaji Roy

Like BPS D3 brane, the non-supersymmetric (non-susy) D3 brane of type IIB string theory is also known to have a decoupling limit and leads to a non-supersymmetric AdS/CFT correspon…