146 citations · 533 across the 12 of their papers we have counts for
4 papers · 1 filter
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…
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…