8 papers
A Bogoliubov-ratio framework for quantum-information diagnostics of time-dependent two-mode Boson Hamiltonian
Shi-Cheng Liu, Lei-Hua Liu, Bichu Li +2
We present a compact and unified framework for quantum-information diagnostics of time-dependent two-mode bosonic systems based on the Bogoliubov ratio $λ_k(η) \equiv β_k(η)/α…
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…
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…
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 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…