Entanglement area law from specific heat capacity

Entanglement area law from specific heat capacity

We study the scaling of entanglement in low-energy states of quantum many-body models on lattices of arbitrary dimensions. We allow for unbounded Hamiltonians such that systems with bosonic degrees of freedom are included. We show that if at low enough temperatures the specific heat capacity of the model decays exponentially with inverse temperature, the entanglement in every lowenergy state sa...

Entanglement Area Law from Exponential Decay of Correlations

Area laws for entanglement in quantum many-body systems give useful information about their low-temperature behaviour and are tightly connected to the possibility of good numerical simulations. An intuition from quantum many-body physics suggests that an area law should hold whenever there is exponential decay of correlations in the system, a property found for instance in noncritical phases of...

Heat capacity as an indicator of entanglement

Marcin Wieśniak Faculty of Physics, University of Vienna, Boltzmanngasse 5, A-1090 Wien, Austria; Instytut Fizyki Teoretycznej i Astrofizyki, Uniwersytet Gdański, PL-80-952 Gdańsk, Poland; Erwin Schrödinger International Institute for Mathematical Physics, Boltzmanngasse 9, A-1090 Wien, Austria; Department of Physics, National University of Singapore, 2 Science Drive 3, Singapore 117542, Singap...

Stability of the Area Law for the Entropy of Entanglement

Recent results [4, 5, 15] on the stability of the spectral gap under general perturbations for frustration-free Hamiltonians, have motivated the following question: Does the entanglement entropy of quantum states that are connected to states satisfying an area law along gapped Hamiltonian paths, also satisfy an area law? We answer this question in the affirmative, combining recent advances in q...

Measurement of Specific Heat Capacity of Saltstone