6 papers
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…
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…
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…
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…
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…
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…