6 papers
Quantum Hilbert Space Fragmentation and Entangled Frozen States
Zihan Zhou, Tian-Hua Yang, Bo-Ting Chen
We find that rank deficiency of the local Hamiltonian in a classically fragmented model is the key mechanism leading to quantum Hilbert space fragmentation. The rank deficiency pro…
Quantum-Electrodynamical Time-Dependent Density Functional Theory Description of Molecules Interacting with Light
Yetmgeta Aklilu, Tiany Yang, Cody Covington +1
We study light-mediated interactions between spatially separated molecules using real-time quantum electrodynamical time-dependent density functional theory based on the Pauli-Fier…
Integrals of motion as slow modes in dissipative many-body operator dynamics
Tian-Hua Yang, Dmitry A. Abanin
We consider Lindbladian operator dynamics in many-body quantum systems with one or more integrals of motion (IOM), subject to weak local dissipation. We demonstrate that IOMs with…
Eigenstate Thermalization Hypothesis correlations via non-linear Hydrodynamics
Jiaozi Wang, Ruchira Mishra, Tian-Hua Yang +2
The thermalizing dynamics of many-body systems is often described through the lens of the Eigenstate Thermalization Hypothesis (ETH). ETH postulates that the statistical properties…
Real-time edge dynamics of non-Hermitian lattices
Tian-Hua Yang, Chen Fang
We derive the asymptotic forms of the Green's function at the open edges of general non-Hermitian band systems in all dimensions in the long-time limit, using a modified saddle-poi…
Ghost states underlying spatial and temporal patterns: how non-existing invariant solutions control nonlinear dynamics
Zheng Zheng, Pierre Beck, Tian Yang +3
Close to a saddle-node bifurcation, when two invariant solutions collide and disappear, the behavior of a dynamical system can closely resemble that of a solution which is no longe…