4 citations · 10 across the 10 of their papers we have counts for
10 papers
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…
Quasinormal modes and complexity in saddle-dominated SU(N) spin systems
Sergio E. Aguilar-Gutierrez, Yichao Fu, Kuntal Pal +1
We study SU() spin systems that mimic the behavior of particles in -dimensional de Sitter space for . Their Hamiltonians describe a dynamical system with hyperbolic fi…
Free Probability approach to spectral and operator statistics in Rosenzweig-Porter random matrix ensembles
Viktor Jahnke, Pratik Nandy, Kuntal Pal +2
Utilizing the framework of free probability, we analyze the spectral and operator statistics of the Rosenzweig-Porter random matrix ensembles, which exhibit a rich phase structure…
Quantum Signatures of Chaos from Free Probability
Hugo A. Camargo, Yichao Fu, Viktor Jahnke +2
A classical dynamical system can be viewed as a probability space equipped with a measure-preserving time evolution map, admitting a purely algebraic formulation in terms of the al…
Higher-Order Krylov State Complexity in Random Matrix Quenches
Hugo A. Camargo, Yichao Fu, Viktor Jahnke +2
In quantum many-body systems, time-evolved states typically remain confined to a smaller region of the Hilbert space known as the . The time evolution can…
Spread complexity evolution in quenched interacting quantum systems
Mamta Gautam, Kunal Pal, Kuntal Pal +3
We analyse time evolution of spread complexity (SC) in an isolated interacting quantum many-body system when it is subjected to a sudden quench. The differences in characteristics…
Time evolution of spread complexity and statistics of work done in quantum quenches
Kuntal Pal, Kunal Pal, Ankit Gill +1
We relate the probability distribution of the work done on a statistical system under a sudden quench to the Lanczos coefficients corresponding to evolution under the post-quench H…
Quantum potential in dust collapse with a negative cosmological constant
Sandip Chowdhury, Kunal Pal, Kuntal Pal +1
In the functional Schrodinger formalism, we obtain the wave function describing collapsing dust in an anti-de Sitter background, as seen by a co-moving observer, by mapping the res…