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quant-ph2023★ 5 cited
A Lanczos approach to the Adiabatic Gauge Potential
Budhaditya Bhattacharjee
The Adiabatic Gauge Potential (AGP) is the generator of adiabatic deformations between quantum eigenstates. There are many ways to construct the AGP operator and evaluate the AGP n…
quant-ph2022★ 95 cited
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…