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Entanglement
Integrability
Renormalization
Symmetry
Tensor Network
Topology
Research Highlights
Research Highlights
Entanglement in Many-body Systems
Entanglement in Many-body Systems
Discovery of counterexamples to the area law of entanglement entropy, and the entanglement phase transition in ground states of quantum many-body systems.
ZZ, et al., Novel Quantum Phase Transition from Bounded to Extensive Entanglement. PNAS, 114 (20) 5142-5146, 2017.
Generalizations to two dimensions based on random tiling and entropic repulsion.
ZZ, and IK, Quantum Lozenge Tiling and Entanglement Phase Transition. Quantum 8, 1497, 2024.
ZZ, and IK, Coupled Fredkin and Motzkin Chains from Six- and 19-vertex Models. SciPost Phys. 15 (2), 044, 2023.
Tensor network descriptions and applications to computing critical exponents.
OM, and ZZ, Exact Critical Exponents of the Motzkin and Fredkin Chains. SciPost Phys. Core 9 (3), 055, 2026
OM, and ZZ, Highly Entangled 2D Ground States: Tensor Networks, Order Parameter and Correlation. SciPost Phys., 20 (5), 126, 2026.
Integrable Quantum Circuits
Integrable Quantum Circuits
A bootstrap program for solving two-qubit unitary gates (R-operators) of integrable Hamiltonians.
ZZ, Bootstrapping the R-matrix. SciPost Phys. 20 (4), 102, 2026.
Extension to the Hubbard model and XYh chain.
ZZ, Integrable Massless and Massive Fermions. arXiv: 2603.11172.
Unifying Onsager's star-triangle relation and Yang-Baxter equation for integrable parafermions and qudit circuits.
ZZ, The Yang-Baxter Equation for the Chiral Potts Model and Integrable Parafermions. arXiv:2606.11146.
Anyons and Topology Order
Anyons and Topology Order
Concrete examples based on qutrit toric codes with Hilbert-space fragmentation that establish the inequality of topological entanglement entropy.
ZZ, Bicolor Loop Models and Their Long Range Entanglement. Quantum 8, 1268, 2024.
Explicit mass-generating interactions that turn Majorana surfaces of time-reversal symmetric topological superconductors into non-trivial topological orders with anyonic excitations.
SS, et al., Coupled Wire Model of Symmetric Majorana Surfaces of Topological Superconductors. Phys. Rev. B (Editors' Suggestion), 94, 165142, 2016.
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