Spectral properties of critical 1+1D Abelian-Higgs model

Abstract

The presence of gauge symmetry in 1+1D is known to be redundant, since it does not imply the existence of dynamical gauge bosons. As a consequence, in the continuum, the Abelian-Higgs model, the theory of bosonic matter interacting with photons, just possesses a single phase, as the higher dimensional Higgs and Coulomb phases are connected via non-perturbative effects. However, recent research published in [Phys. Rev. Lett. 128, 090601 (2022)] has revealed an unexpected phase transition when the system is discretized on the lattice. This transition is described by a conformal field theory with a central charge of $c=3/2$. In this paper, we aim to characterize the two components of this $c=3/2$ theory -- namely the free Majorana fermionic and bosonic parts -- through equilibrium and out-of-equilibrium spectral analyses.

12 pages, 15 figures. Close to the accepted version in PRB

References in corpus (17)

• The density-matrix renormalization group in the age of matrix product states
• The ITensor Software Library for Tensor Network Calculations
• Amplitude / Higgs Modes in Condensed Matter Physics
• The `Higgs' Amplitude Mode at the Two-Dimensional Superfluid-Mott Insulator Transition
• Tensor network states and algorithms in the presence of a global U(1) symmetry
• Entanglement entropy for the long range Ising chain
• A Strictly Single-Site DMRG Algorithm with Subspace Expansion
• Unusual Corrections to Scaling in Entanglement Entropy
• Quantum simulation of the Schwinger model: A study of feasibility
• Density Induced Phase Transitions in the Schwinger Model: A Study with Matrix Product States
• Theoretical methods to design and test quantum simulators for the compact Abelian Higgs model
• Local quench spectroscopy of many-body quantum systems
• Unraveling the Excitation Spectrum of Many-Body Systems from Quantum Quenches
• First-principle simulations of 1+1d quantum field theories at $\theta =\pi$ and spin-chains
• Corrections to scaling in entanglement entropy from boundary perturbations
• Ising model as a $U(1)$ Lattice Gauge Theory with a $\theta$-term
• Phase diagram of 1+1D Abelian-Higgs model and its critical point

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