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5 papers · 2 filters
Generalized CV Conjecture and Krylov Complexity in Two-Mode Hermitian Systems via Information Geometry
Ke-Hong Zhai, Lei-Hua Liu, Hai-Qing Zhang
We extend the CV conjecture to quantum states of two-mode Hermitian systems using the framework of information geometry. Specifically, we conjecture that the Krylov complexity of a…
Krylov Complexity in early universe
Ke-Hong Zhai, Lei-Hua Liu
The Lanczos algorithm offers a framework for constructing wave functions in closed and open quantum systems from their Hamiltonians. Since the early universe is inherently an open…
Krylov complexity of thermal state in early universe
Tao Li, Lei-Hua Liu
Thermal interactions are ubiquitous in the cosmos, driving systems toward equilibrium. In this work, we investigate the evolution of thermal states across the early universe, encom…
Appearances are deceptive: Can graviton have a mass?
Leihua Liu, Tomislav Prokopec
We study the dynamics of linear gravitational perturbations on cosmological backgrounds of massive fermionic fields. We observe that, when gravitational and matter action are expan…
Inflationary Krylov complexity
Tao Li, Lei-Hua Liu
In this work, we have systematically investigated the Krylov complexity of curvature perturbation for the modified dispersion relation in inflation, using the algorithm in closed s…