2018/12/30 by Giovanni Ramírez, Ramírez, Giovanni, Javier Rodríguez-Laguna +3 · 1 citation
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Cosmology and Gravitation Theories #FOS: Physical sciences #Quantum Physics (quant-ph) #Quantum many-body systems #Strongly Correlated Electrons (cond-mat.str-el)
paper · pdf · doi:10.48550/arxiv.1812.11495
openalex publication_date 2018/12/30 · openalex created_date 2022/08/01 · openalex updated_date 2026/07/28
An exponential deformation of a 1D critical Hamiltonian, with couplings falling on a length scale h-1, gives rise to ground states whose entanglement entropy follows a volume law, i.e. the area law is violated maximally. The ground state is now in the so-called \em rainbow phase, where valence bonds connect sites on the left half with their symmetric counterparts on the right. Here we discuss some of the most relevant features of this rainbow phase, focusing on the XX and Heisenberg models. Moreover, we show that the rainbow state can be understood either as a thermo-field double of a conformal field theory with a temperature proportional to h or as a massless Dirac fermion in a curved spacetime with constant negative curvature proportional to h. Finally, we introduce a study of the time-evolution of the rainbow state after a quench to a homogeneous Hamiltonian.