Jean-Marie Stéphan

Shannon and entanglement entropies of one- and two-dimensional critical wave functions

We study the Shannon entropy of the probability distribution resulting from the ground-state wave function of a one-dimensional quantum model. This entropy is related to the entanglement entropy of a Rokhsar-Kivelson-type wave function built from the corresponding two-dimensional classical model. In both critical and massive cases, we observe that it is composed of an extensive part proportional to the length of the system and a subleading universal constant

Conformal Field Theory for Inhomogeneous One-dimensional Quantum Systems: the Example of Non-Interacting Fermi Gases

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Inhomogeneous quenches in a free fermionic chain: Exact results

. In

Inhomogeneous field theory inside the arctic circle

c=1

Universal behavior of a bipartite fidelity at quantum criticality

critical systems (Tomonaga-Luttinger liquids), we find that

Emergence of curved light-cones in a class of inhomogeneous Luttinger liquids

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Logarithmic corrections to the free energy from sharp corners with angle 2π

is a simple function of the boson compactification radius. This finding is based on a field-theoretical analysis of the Dyson-Gaudin gas related to dimer and Calogero-Sutherland models. We also performed numerical demonstrations in the dimer models and the spin-1/2

Rényi entanglement entropies in quantum dimer models: from criticality to topological order

XXZ

Return probability after a quench from a domain wall initial state in the spin-1/2 XXZ chain

chain. In a massive (crystal) phase,

Entanglement in gapless resonating-valence-bond states

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