5 citations · 6 across the 6 of their papers we have counts for
7 papers
Disentangling the Toric Code
Lei Gioia, Salvatore D. Pace, Ruben Verresen +2
Commuting-projector Hamiltonians with integer spectrum such as the 1+1d Ising ferromagnet and the 2+1d toric code may be regarded as the generators of non-on-site symmetries…
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…
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…
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…
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…
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…
state is not the unique ground state of any local Hamiltonian
Lei Gioia, Ryan Thorngren
The characterization of ground states among all quantum states is an important problem in quantum many-body physics. For example, the celebrated entanglement area law for gapped Ha…