16 citations · 54 across the 11 of their papers we have counts for
11 papers
Theory of the Uhlmann Phase in Quasi-Hermitian Quantum Systems
Xu-Yang Hou, Xin Wang, Hao Guo
Geometric phases play a fundamental role in understanding the geometric structure of quantum states, yet extending the Uhlmann phase to non-Hermitian systems poses significant chal…
Thermal Uhlmann-Chern Number: Bridging Pure and Mixed States
Xin Wang, Xu-Yang Hou, Yan He +1
Topological properties of quantum systems at finite temperatures, described by mixed states, pose significant challenges due to the triviality of the Uhlmann bundle. We introduce t…
Uhlmann and scalar Wilczek-Zee phases of degenerate quantum systems
Xin Wang, Hao Guo, Chih-Chun Chien
The Wilczek-Zee (WZ) holonomy arises in degenerate states while the Uhlmann holonomy characterizes finite-temperature topology. We investigate possible relationships between the Uh…
Mixed-state geometric phases of coherent and squeezed spin states
Xin Wang, Jia-Chen Tang, Xu-Yang Hou +2
Two mixed-state geometric phases, known as the Uhlmann phase and interferometric geometric phase (IGP), of spin coherent states (CSSs) and spin squeezed states (SSSs) are analyzed.…
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…
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…
Local geometry and quantum geometric tensor of mixed states
Xu-Yang Hou, Zheng Zhou, Xin Wang +2
The quantum geometric tensor (QGT) is a fundamental concept for characterizing the local geometry of quantum states. After casting the geometry of pure quantum states and extractin…
Geometric phases of mixed quantum states: A comparative study of interferometric and Uhlmann phases
Xu-Yang Hou, Xin Wang, Zheng Zhou +2
Two geometric phases of mixed quantum states, known as the interferometric phase and Uhlmann phase, are generalizations of the Berry phase of pure states. After reviewing the two g…
Uhlmann phase of coherent states and the Uhlmann-Berry correspondence
Xin Wang, Xu-Yang Hou, Zheng Zhou +2
We first compare the geometric frameworks behind the Uhlmann and Berry phases in a fiber-bundle language and then evaluate the Uhlmann phases of bosonic and fermionic coherent stat…
Generalizations of Berry phase and differentiation of purified state and thermal vacuum of mixed states
Xu-Yang Hou, Zi-Wen Huang, Zheng Zhou +3
Two representations of mixed states by state-vectors, known as purified state and thermal vacuum, have been realized on quantum computers. While the two representations look simila…