146 citations · 1.3k across the 24 of their papers we have counts for
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Operator growth in open quantum systems: lessons from the dissipative SYK
Budhaditya Bhattacharjee, Xiangyu Cao, Pratik Nandy +1
We study the operator growth in open quantum systems with dephasing dissipation terms, extending the Krylov complexity formalism of Phys. Rev. X 9, 041017. Our results are based on…
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…
Probing quantum scars and weak ergodicity-breaking through quantum complexity
Budhaditya Bhattacharjee, Samudra Sur, Pratik Nandy
Scar states are special many-body eigenstates that weakly violate the eigenstate thermalization hypothesis (ETH). Using the explicit formalism of the Lanczos algorithm, usually kno…
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…
Krylov complexity in saddle-dominated scrambling
Budhaditya Bhattacharjee, Xiangyu Cao, Pratik Nandy +1
In semi-classical systems, the exponential growth of the out-of-timeorder correlator (OTOC) is believed to be the hallmark of quantum chaos. However,on several occasions, it has be…
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…