Unconventional Scalings of Quantum Entropies in Long-Range Heisenberg Chains

Abstract

In this work, building on state-of-the-art quantum Monte Carlo simulations, we perform systematic finite-size scaling of both entanglement and participation entropies for long-range Heisenberg chain with unfrustrated power-law decaying interactions. We find distinctive scaling behaviors for both quantum entropies in the various regimes explored by tuning the decay exponent $\alpha$, thus capturing non-trivial features through logarithmic terms, beyond the case of linear Nambu-Goldstone modes. Our systematic analysis reveals that the quantum entanglement information, hidden in the scaling of the two studied entropies, can be obtained to the same level of order parameters and other usual finite-size observables of quantum many-body lattice models. The analysis and results obtained here can readily apply to more quantum criticalities in 1D and 2D systems.

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Cited by in corpus (5)

• Tomonaga-Luttinger Liquid Behavior in a Rydberg-encoded Spin Chain
• Dynamic structure factor of a spin-1/2 Heisenberg chain with long-range interactions
• Clock Factorized Quantum Monte Carlo Method for Long-range Interacting Systems
• Worldline deconfinement and emergent long-range interaction in the entanglement Hamiltonian and in the entanglement spectrum
• Symmetrizing the Constraints -- Density Matrix Renormalization Group for Constrained Lattice Models