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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 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…
Krylov complexity and Wightman power spectrum with positive chemical potential in Schrödinger field theory
Peng-Zhang He, Lei-Hua Liu, Hai-Qing Zhang +1
We study Krylov complexity in Schrödinger field theory in the grand canonical ensemble with chemical potential , with an emphasis on the qualitatively new features that arise…
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…