146 citations · 533 across the 12 of their papers we have counts for
13 papers
Counterdiabatic Quantum Circuits
Ankit Wenju Shrestha, Budhaditya Bhattacharjee, Adolfo del Campo
Counterdiabatic driving provides a universal route to fast quantum control, but its standard formulation presupposes a Hamiltonian generator. We develop a Hamiltonian-free theory o…
Shortcuts to Adiabaticity for non-Hermitian systems in Krylov Space
Ankit W. Shrestha, Budhaditya Bhattacharjee, Adolfo del Campo
Shortcuts to adiabaticity (STA) reproduce adiabatic dynamics in finite time, but their counterdiabatic implementation relies on the adiabatic gauge potential (AGP), which is diffic…
Solving Lévy Sachdev-Ye-Kitaev Model
Budhaditya Bhattacharjee, William. E. Salazar, Alexei Andreanov +1
We present an exact solution in the large- limit of the Lévy Sachdev-Ye-Kitaev (LSYK) model introduced in Ref. [1], wherein the couplings are drawn from a Lévy Stable distributi…
Double-Bracket Master Equations: Phase-Space Representation and Classical Limit
Ankit W. Shrestha, Budhaditya Bhattacharjee, Adolfo del Campo
We systematically investigate master equations involving double-bracket dissipators in the classical limit. Dissipators defined by double commutators arise naturally in dephasing d…
Lévy Sachdev-Ye-Kitaev Model
Budhaditya Bhattacharjee, William E. Salazar, Dario Rosa +1
We explore the spectral properties of the -fermion Sachdev-Ye-Kitaev model with interaction sourced from a Lévy Stable (fat-tailed) distribution. Lévy random matrices are known…
Krylov fractality and complexity in generic random matrix ensembles
Budhaditya Bhattacharjee, Pratik Nandy
Krylov space methods provide an efficient framework for analyzing the dynamical aspects of quantum systems, with tridiagonal matrices playing a key role. Despite their importance,…
Thermalization slowing down of weakly nonintegrable quantum spin dynamics
Budhaditya Bhattacharjee, Alexei Andreanov, Sergej Flach
We study thermalization slowing down of a quantum many-body spin system upon approach to two distinct integrability limits. Motivated by previous studies of classical systems, we i…
Operator dynamics in Lindbladian SYK: a Krylov complexity perspective
Budhaditya Bhattacharjee, Pratik Nandy, Tanay Pathak
We use Krylov complexity to study operator growth in the -body dissipative SYK model, where the dissipation is modeled by linear and random -body Lindblad operators. In the l…
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…
Eigenstate capacity and Page curve in fermionic Gaussian states
Budhaditya Bhattacharjee, Pratik Nandy, Tanay Pathak
Capacity of entanglement (CoE), an information-theoretic measure of entanglement, defined as the variance of modular Hamiltonian, is known to capture the deviation from the maximal…