146 citations · 1.3k across the 24 of their papers we have counts for
4 papers · 2 filters
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…
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…