Shunsuke Furukawa

Mutual information and boson radius in a c=1 critical system in one dimension.

We study the generic scaling properties of the mutual information between two disjoint intervals, in a class of one-dimensional quantum critical systems described by the c=1 bosonic field theory. A numerical analysis of a spin-chain model reveals that the mutual information is scale invariant and depends directly on the boson radius. We interpret the results in terms of correlation functions of branch-point twist fields. The present study provides a new way to determine the boson radius, and furthermore demonstrates the power of the mutual information to extract more refined information of conformal field theory than the central charge.

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

Chiral Order and Electromagnetic Dynamics in One-Dimensional Multiferroic Cuprates

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Topological entanglement entropy in the quantum dimer model on the triangular lattice

. In

Parity-time-symmetric quantum critical phenomena

c=1

Systematic derivation of order parameters through reduced density matrices

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

Ground-state phase diagram of a spin-12frustrated ferromagnetic XXZ chain: Haldane dimer phase and gapped/gapless chiral phases

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Unconventional Néel and dimer orders in a spin- 1 2 frustrated ferromagnetic chain with easy-plane anisotropy

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

Quantum Fluctuations of Chirality in One-Dimensional Spin-1/2 Multiferroics: Gapless Dielectric Response from Phasons and Chiral Solitons

XXZ

Ferromagnetically coupled dimers on the distorted Shastry-Sutherland lattice: Application to (CuCl)LaNb 2 O 7

chain. In a massive (crystal) phase,