86 citations · 225 across the 21 of their papers we have counts for
21 papers
Universal Extraction of Quantum Critical Exponents and Phase Transitions via Tailored Hilbert Space
Ye Xiong
Finite-size scaling and the renormalization group form the central toolkit for analyzing quantum phase transitions (QPTs). In this Letter, we introduce a novel Hilbert-space tailor…
Each state in a one-dimensional disordered system has two localization lengths when the Hilbert space is constrained
Ye Xiong
In disordered systems, the amplitudes of the localized states will decrease exponentially away from their centers and the localization lengths are characterizing such decreasing. I…
An intrinsic topological model in the absence of symmetry
Ye Xiong
We study the vibrational spectrum of a constrained classical ring. Due to the presence of 2-order exceptional points, a topologically trivial band at the infinity can make the vibr…
The topological vacuum in exceptional Brillouin zone
YE Xiong
The vacuum of a band system, with respect to particles or holes, can become topologically nontrivial when the exceptional points of the non-hermitian Hamiltonian spread over the wh…
Why does bulk boundary correspondence fail in some non-hermitian topological models
Ye Xiong
Bulk boundary correspondence is crucial to topological insulator as it associates the boundary states (with zero energy, chiral or helical) to topological numbers defined in bulk.…
The Schrödinger equation for general non-hermitian quantum system
Ye Xiong, Peiqing Tong
We derive a new time-dependent Schrödinger equation(TDSE) for quantum models with non-hermitian Hamiltonian. Within our theory, the TDSE is symmetric in the two Hilbert spaces span…