6 citations · 11 across the 11 of their papers we have counts for
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A phase space approach to the wavefunction spreading and operator growth in the Krylov basis
Kunal Pal, Kuntal Pal, Keun-Young Kim
In the Wigner-Weyl phase space formulation of quantum mechanics, we analyse the problem of the spreading of an initial state or an initial operator under time evolution when descri…
Density of states of quantum systems from free probability theory: a brief overview
Keun-Young Kim, Kuntal Pal
We provide a brief overview of approaches for calculating the density of states of quantum systems and random matrix Hamiltonians using the tools of free probability theory. For a…
Geometry of quantum states in random matrix ensembles and the chaos-integrability transition
Ankit Gill, Keun-Young Kim, Kunal Pal +1
We consider the geometry of quantum states associated with random matrix Hamiltonians belonging to ensembles that exhibit an integrable-to-chaotic transition in terms of the neares…
Statistics and Complexity of Wavefunction Spreading in Quantum Dynamical Systems
Yichao Fu, Keun-Young Kim, Kunal Pal +1
We consider the statistics of the results of a measurement of the spreading operator in the Krylov basis generated by the Hamiltonian of a quantum system starting from a specified…