Low-energy states of local Hamiltonians have half-system entanglement entropies upper-bounded by the thermal entropies of two fictitious systems whose combined energies match the state's energy.
Infinite temperature at zero energy
2 Pith papers cite this work. Polarity classification is still indexing.
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abstract
We construct a family of static, geometrically local Hamiltonians that inherit eigenstate properties of periodically-driven (Floquet) systems. Our construction is a variation of the Feynman-Kitaev clock -- a well-known mapping between quantum circuits and local Hamiltonians -- where the clock register is given periodic boundary conditions. Assuming the eigenstate thermalization hypothesis (ETH) holds for the input circuit, our construction yields Hamiltonians whose eigenstates have properties characteristic of infinite temperature, like volume-law entanglement entropy, across the whole spectrum -- including the ground state. We then construct a family of exactly solvable Floquet quantum circuits whose eigenstates are shown to obey the ETH at infinite temperature. Combining the two constructions yields a new family of local Hamiltonians with provably volume-law-entangled ground states, and the first such construction where the volume law holds for all contiguous subsystems.
years
2026 2verdicts
UNVERDICTED 2representative citing papers
Constructs a class of static geometrically local Hamiltonians whose connected spectral form factor exhibits the BKP random-matrix ramp within a symmetry sector by embedding dual-unitary Floquet spectra.
citing papers explorer
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Quantum matter is weakly entangled at low energies
Low-energy states of local Hamiltonians have half-system entanglement entropies upper-bounded by the thermal entropies of two fictitious systems whose combined energies match the state's energy.
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Provable random-matrix spectral ramp in a static, geometrically local Hamiltonian
Constructs a class of static geometrically local Hamiltonians whose connected spectral form factor exhibits the BKP random-matrix ramp within a symmetry sector by embedding dual-unitary Floquet spectra.