New insights into the entanglement of disjoint blocks
arXiv:1110.3770 · doi:10.1209/0295-5075/97/17007
Abstract
We study the entanglement of two disjoint blocks in spin-1/2 chains obtained by merging solvable models, such as XX and quantum Ising models. We focus on the universal quantities that can be extracted from the Rényi entropies S_α. The most important information is encoded in some functions denoted by F_α. We compute F_2 and we show that F_α-1 and F_{v.N.}, corresponding to the von Neumann entropy, can be negative, in contrast to what observed in all models examined so far. An exact relation between the entanglement of disjoint subsystems in the XX model and that in a chain embodying two quantum Ising models is a by-product of our investigations.
6 pages, 4 figures, revised version accepted for publication in EPL
References in corpus (10)
- Entanglement entropy of two disjoint intervals in conformal field theory II
- Entanglement of low-energy excitations in Conformal Field Theory
- Mutual Information and Boson Radius in c=1 Critical Systems in One Dimension
- Entanglement entropy of two disjoint blocks in XY chains
- The entanglement entropy of one-dimensional gases
- Entanglement Entropy and Twist Fields
- Exact relationship between the entanglement entropies of XY and quantum Ising chains
- Entanglement entropy of two disjoint intervals in c=1 theories
- Entanglement entropy of aperiodic quantum spin chains
- The entanglement entropy of 1D systems in continuous and homogenous space
Cited by in corpus (32)
- Entanglement negativity in quantum field theory
- Reduced Density Matrix after a Quantum Quench
- Entanglement negativity in extended systems: A field theoretical approach
- Quantum Quench in the Transverse Field Ising Chain II: Stationary State Properties
- Finite temperature entanglement negativity in conformal field theory
- Entanglement negativity after a global quantum quench
- Some Results on Mutual Information of Disjoint Regions in Higher Dimensions
- Entanglement negativity in the critical Ising chain
- On Rényi entropies of disjoint intervals in conformal field theory
- Entanglement spreading after a geometric quench in quantum spin chains
- Entanglement entropy and negativity of disjoint intervals in CFT: Some numerical extrapolations
- Entanglement negativity via replica trick: a Quantum Monte Carlo approach
- Finite-size corrections vs. relaxation after a sudden quench
- Excited state entanglement in homogeneous fermionic chains
- Entanglement negativity and conformal field theory: a Monte Carlo study
- Towards entanglement negativity of two disjoint intervals for a one dimensional free fermion
- Bound states and entanglement in the excited states of quantum spin chains
- Spin structures and entanglement of two disjoint intervals in conformal field theories
- Dynamics of the entanglement spectrum in spin chains
- Entanglement entropy of two disjoint intervals and the recursion formula for conformal blocks
- Partial transpose of two disjoint blocks in XY spin chains
- Entanglement of several blocks in fermionic chains
- Entanglement Entropy of the Low-Lying Excited States and Critical Properties of an Exactly Solvable Two-Leg Spin Ladder with Three-Spin Interactions
- On the Möbius transformation in the entanglement entropy of fermionic chains
- Universality in the tripartite information after global quenches
- Rényi entanglement entropies for the compactified massless boson with open boundary conditions
- Universality in the tripartite information after global quenches: (generalised) quantum XY models
- Universal Finite-Size Corrections of the Entanglement Entropy of Quantum Ladders and the Entropic Area Law
- Negativity in the Generalized Valence Bond Solid State
- Universality in the tripartite information after global quenches: spin flip and semilocal charges
- Entanglement entropy of two disjoint intervals and spin structures in interacting chains in and out of equilibrium
- Critical exponents of block-block mutual information in one-dimensional infinite lattice systems