19 citations · 33 across the 12 of their papers we have counts for
12 papers
Geometric-phase control of Krylov complexity in adiabatic dynamics
Han-Qi Zheng, Peng-Zhang He, Lei-Hua Liu +1
We show that geometric phases accumulated during adiabatic evolution can be converted into observable interference in Krylov space, leading to a geometric-phase-dependent Krylov os…
A Bogoliubov-ratio framework for quantum-information diagnostics of time-dependent two-mode Boson System
Shi-Cheng Liu, Lei-Hua Liu, Bichu Li +2
We formulate a compact dynamical representation of quantum-information diagnostics for time-dependent two-mode bosonic systems in terms of the Bogoliubov ratio $λ_k(η)=β_k(η)/α_k(η…
Krylov Complexity in Non-Inertial Quantum Systems
Ming-Qi Ma, Shi-Cheng Liu, Lei-Hua Liu +1
This study formulates observer-dependent Krylov spreading for non-inertial quantum systems driven by linear Bogoliubov transformations. Starting with the closed single Rindler-pair…
Quantum-information diagnostics of cosmological perturbations with nontrivial sound speed in inflation
Shi-Cheng Liu, Lei-Hua Liu, Bichu Li +2
In this work, we systematically investigate the quantum-information diagnostics of cosmological perturbations with a nontrivial sound speed, utilizing a normalized open two-mode sq…
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 fo…
Inflationary power spectrum from the Lanczos algorithm
Ke-Hong Zhai, Lei-Hua Liu, Hai-Qing Zhang
The generalized Lanczos algorithm can provide a universal method for constructing the wave function under the group structure of Hamiltonian. Based on this fact, we obtain an open…
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…
Inflationary thermal Krylov complexity
Tao Li, Lei-Hua Liu
This work explores thermal Krylov complexity and thermal K-entropy of primordial perturbations under three comoving momentum correction frameworks, including canonical scalar field…
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…
Cosmological complexity of the modified dispersion relation
Tao Li, Lei-Hua Liu
Complexity will be more and more essential in high-energy physics. It is naturally extended into the very early universe. Considering the universe as a quantum chaotic system, the…