32 citations · 188 across the 32 of their papers we have counts for
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Uhlmann Geometry of Fixed-Rank Density Matrices: A Fiber-Bundle Approach
Xu-Yang Hou, Hao Guo
For full-rank density matrices the state space is contractible, the Uhlmann bundle is topologically trivial, and the holonomy admits no quantized invariants; although the Uhlmann p…
Thermal Suppression of Dynamical Quantum Phase Transitions in Finite-Dimensional Systems A Quasi-Hermitian Framework
Jia-Chen Tang, Xu-Yang Hou, Ming-Zhang Wang +1
We investigate dynamical quantum phase transitions (DQPTs) in finite-dimensional systems prepared in thermal equilibrium states and subjected to a sudden quench. A mixed-state Losc…
Wilczek-Zee Realization of Uhlmann Parallel Transport
Yu-Huan Huang, Xu-Yang Hou, Jia-Chen Tang +1
The Uhlmann phase extends geometric phases to mixed quantum states via a parallel-transport condition on purification amplitudes, yet its direct implementation under standard Hamil…
Electrical-Circuit Simulation of the Uhlmann Phase
Yu-Huan Huang, Yu Wang, Jia-Chen Tang +2
The Uhlmann phase extends the concept of geometric phases to mixed quantum states through a parallel-transport condition on purification amplitudes, but its experimental realizatio…
Defect Holonomy Near Rank-Deficient Mixed States
Yu-Huan Huang, Xu-Yang Hou, Hao Guo
We investigate the geometry of mixed quantum states near rank-changing points, showing that these singularities function as effective geometric defects. The Uhlmann connection is w…
Torsion-induced gauge structure in curved quantum waveguides
Xu-Yang Hou, Xianlong Gao, Hao Guo
We investigate the effective dynamics of a particle confined near a space curve. In the strict thin-layer reduction of the nondegenerate transverse ground state, torsion does not e…
Geometry near rank-changing points on the mixed-state manifold: Bures metric, conical singularities, and Lindblad dynamics
Yu-Huan Huang, Xu-Yang Hou, Hao Guo +1
We elucidate the Bures metric in quantum state space near a rank-changing point of the density matrix and show contrasting behavior for two-level () systems versus higher-leve…
Geometric and Topological Obstructions to Hermitianization in Quasi-Hermitian Quantum Systems
Ming-Zhang Wang, Xu-Yang Hou, Hao Guo
Quasi-Hermitian quantum systems, including -symmetric ones, can be mapped to equivalent Hermitian systems via a similarity transformation that redefines the inner pro…
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…
Evolution of quantum geometric tensor of 1D periodic systems after a quench
Jia-Chen Tang, Xu-Yang Hou, Yu-Huan Huang +1
We investigate the post-quench dynamics of the quantum geometric tensor (QGT) of 1D periodic systems with a suddenly changed Hamiltonian. The diagonal component with respect to the…