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quant-ph2026
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…
quant-ph2026
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…
quant-ph2026
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…