Universal entanglement spectra of gapped one-dimensional field theories

Universal diffusive decay of correlations in gapped one-dimensional systems

We apply a semiclassical approach to express finite temperature dynamical correlation functions of gapped spin models analytically. We show that the approach of [Á. Rapp, G. Zaránd, Phys. Rev. B 74, 014433 (2006)] can also be used for the S = 1 antiferromagnetic Heisenberg chain, whose lineshape can be measured experimentally. We generalize our calculations to O(N) quantum spin models and the s...

Universal relaxational dynamics of gapped one-dimensional models in the quantum sine-Gordon universality class.

A semiclassical approach to the low-temperature real-time dynamics of generic one-dimensional, gapped models in the sine-Gordon model universality class is developed. Asymptotically exact universal results for correlation functions are obtained in the temperature regime T << Delta, where Delta is the energy gap.

Entanglement and Ground States of Gapped Hamiltonians

Entropic topological invariant for a gapped one-dimensional system

We propose an order parameter for a general one-dimensional gapped system with an open boundary condition. The order parameter can be computed from the ground state entanglement entropy of some regions near one of the boundaries. Hence, it is well-defined even in the presence of arbitrary interaction and disorder. We also show that it is invariant under a finite-depth local quantum circuit, sug...

Absorption Spectra of a Graphene Embedded One Dimensional Fibonacci Aperiodic Structure

In this paper, we explore the linear response of one dimensionalquasiperiodic structure based on Fibonacci sequence composed of silicon dioxide,polystyrene and graphene materials. Here, a graphene monolayer is sandwichedbetween two adjacent layers. The numerical results are obtained by using the standardtransfer matrix method. Due to the presence of graphene sheet in eac...