Shannon entropy in quasiparticle states of quantum chains
arXiv:2303.14132 · doi:10.1088/1751-8121/ad7429
Abstract
We investigate the Shannon entropy of the total system and its subsystems, as well as the subsystem Shannon mutual information, in quasiparticle excited states of free bosonic and fermionic chains and the ferromagnetic phase of the spin-1/2 XXX chain. For single-particle and double-particle states, we derive various analytical formulas for free bosonic and fermionic chains in the scaling limit. These formulas are also applicable to certain magnon excited states in the XXX chain in the scaling limit. We also calculate numerically the Shannon entropy and mutual information for triple-particle and quadruple-particle states in bosonic, fermionic, and XXX chains. We discover that Shannon entropy, unlike entanglement entropy, typically does not separate for quasiparticles with large momentum differences. Moreover, in the limit of large momentum difference, we obtain universal quantum bosonic and fermionic results that are generally distinct and cannot be explained by a semiclassical picture.
v1: 41 pages, 14 figures; v2: 49 pages, 18 figures, published version
References in corpus (17)
- Area laws in quantum systems: mutual information and correlations
- Fermionic quantum processing with programmable neutral atom arrays
- Rényi entropy of a line in two-dimensional Ising models
- Participation spectroscopy and entanglement Hamiltonian of quantum spin models
- Bound states and entanglement in the excited states of quantum spin chains
- Information theoretic aspects of the two-dimensional Ising model
- Universal behavior of the Shannon and Rényi mutual information of quantum critical chains
- Symmetry Resolved Entanglement of Excited States in Quantum Field Theory I: Free Theories, Twist Fields and Qubits
- Generalized mutual informations of quantum critical chains
- Symmetry Resolved Entanglement of Excited States in Quantum Field Theory II: Numerics, Interacting Theories and Higher Dimensions
- Exact full counting statistics for the staggered magnetization and the domain walls in the XY spin chain
- Universality in entanglement of quasiparticle excitations
- Subsystem distances between quasiparticle excited states
- Symmetry Resolved Entanglement of Excited States in Quantum Field Theory III: Bosonic and Fermionic Negativity
- Finite size corrections to scaling of the formation probabilities and the Casimir effect in the conformal field theories
- Universal logarithmic correction to Rényi (Shannon) entropy in generic systems of critical quadratic fermions
- Confinement and oscillating deconfinement crossover of two-magnon excitations in quantum spin chains quantified by spin entanglement entropy