8 papers · 1 filter
Krylov-Space Memory Cores
Mohsen Alishahiha, Mohammad Javad Vasli
We introduce Krylov-space memory cores as stationary, depth-resolved structures that reveal how anomalous initial-state memory is organized inside the Krylov space of otherwise the…
Krylov Distribution
Mohsen Alishahiha, Mohammad Javad Vasli
We introduce the Krylov distribution , a static Krylov-space diagnostic that characterizes how inverse-energy response is organized in Hilbert space. The central ob…
On Krylov Complexity as a Probe of the Quantum Mpemba Effect
Mohsen Alishahiha, Mohammad Javad Vasli
We investigate Krylov state complexity as a probe of the quantum Mpemba effect in quantum spin chains. For models without global symmetry, Krylov complexity exhibits clear M…
Eigenstate Thermalization Hypothesis: A Primer
Mohsen Alishahiha, Mohammad Javad Vasli
How does an isolated quantum system evolve toward thermal equilibrium from a far-from-equilibrium initial state-for instance, one prepared by a global quantum quench? This question…
Krylov Complexity as a Probe for Chaos
Mohsen Alishahiha, Souvik Banerjee, Mohammad Javad Vasli
In this work, we explore in detail, the time evolution of Krylov complexity. We demonstrate, through analytical computations, that in finite many-body systems, while ramp and plate…
Entanglement in Lifshitz Fermion Theories
Mohammad Javad Vasli, Komeil Babaei Velni, M. Reza Mohammadi Mozaffar +1
We study the static entanglement structure in (1+1)-dimensional free Dirac-fermion theory with Lifshitz symmetry and arbitrary integer dynamical critical exponent. This model is di…