32 citations · 188 across the 32 of their papers we have counts for
6 papers · 1 filter
Mathematical Foundation of the U Quantum Geometric Tensor
Xin Wang, Xu-Yang Hou, Jia-Chen Tang +1
In this paper, we systematically establish the mathematical foundation for the quantum geometric tensor (QGT) of mixed states Explicitly, we present a description b…
Geometry effect of the dynamical quantum phase transitions at finite temperatures
Jia-Chen Tang, Xu-Yang Hou, Hao Guo
Dynamical quantum phase transitions (DQPTs) probe the nonequilibrium evolution of quantum systems, unveiling their geometric and topological characteristics. In this study, we intr…
Machine learning of the Ising model on a spherical Fibonacci lattice
Zheng Zhou, Chen-Hui Song, Xu-Yang Hou +1
We investigate the Ising model on a spherical surface, utilizing a Fibonacci lattice to approximate uniform coverage. This setup poses challenges in achieving consistent lattice di…
Uhlmann quench and geometric dynamic quantum phase transition of mixed states
Jia-Chen Tang, Xu-Yang Hou, Zheng Zhou +2
Dynamic quantum phase transitions (DQPT) following quantum quenches exhibit singular behavior of the overlap between the initial and evolved states. Here we present a formalism to…
Sjqvist quantum geometric tensor of finite-temperature mixed states
Zheng Zhou, Xu-Yang Hou, Xin Wang +3
The quantum geometric tensor (QGT) reveals local geometric properties and associated topological information of quantum states. Here a generalization of the QGT to mixed quantum st…
Interferometric Geometric Phases of -symmetric Quantum Mechanics
Xin Wang, Zheng Zhou, Jia-Chen Tang +3
We present a generalization of the geometric phase to pure and thermal states in -symmetric quantum mechanics (PTQM) based on the approach of the interferometric geom…