5 papers
Translation symmetry-enforced long-range entanglement in mixed states
Ryan Thorngren, Lei Gioia, Carolyn Zhang
We show by a counting argument that even though translation symmetry admits symmetric short-range entangled (SRE) eigenstates, there are not enough such SRE eigenstates to span the…
Distinct Types of Parent Hamiltonians for Quantum States: Insights from the State as a Quantum Many-Body Scar
Lei Gioia, Sanjay Moudgalya, Olexei I. Motrunich
The construction of parent Hamiltonians that possess a given state as their ground state is a well-studied problem. In this work, we generalize this notion by considering simple qu…
Locality forces equal energy spacing of quantum many-body scar towers
Nicholas O'Dea, Lei Gioia, Sanjay Moudgalya +1
Quantum many-body scars are non-thermal eigenstates embedded in the spectra of otherwise non-integrable Hamiltonians. Paradigmatic examples often appear as quasiparticle towers of…
Exact Chiral Symmetries of 3+1D Hamiltonian Lattice Fermions
Lei Gioia, Ryan Thorngren
We construct Hamiltonian models on a 3+1d cubic lattice for a single Weyl fermion and for a single Weyl doublet protected by exact (as opposed to emergent) chiral symmetries. In th…
No-go theorem for single time-reversal invariant symmetry-protected Dirac fermions in 3+1d
Lei Gioia, Anton A. Burkov, Taylor L. Hughes
We employ a general method, known as anomaly-matching, to derive new no-go theorems of fermionic lattice models. For our main result, we show that time-reversal invariant 3+1d latt…