Shannon entropy in quasiparticle states of quantum chains
- URL: http://arxiv.org/abs/2303.14132v1
- Date: Fri, 24 Mar 2023 16:38:39 GMT
- Title: Shannon entropy in quasiparticle states of quantum chains
- Authors: Wentao Ye and Jiaju Zhang
- Abstract summary: We find that unlike entanglement entropy, Shannon entropy does not separate when two quasiparticles have a large momentum difference.
We obtain universal results for quantum spin chains that cannot be explained by a semiclassical picture of quasiparticles.
- Score: 0.24366811507669117
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: In this paper, 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. Our focus is on single-particle
and double-particle states, and we derive various analytical formulas for free
bosonic and fermionic chains in the scaling limit. These formulas are also
applicable to magnon excited states in the XXX chain under certain conditions.
We discover that, unlike entanglement entropy, Shannon entropy does not
separate when two quasiparticles have a large momentum difference. Moreover, in
the large momentum difference limit, we obtain universal results for quantum
spin chains that cannot be explained by a semiclassical picture of
quasiparticles.
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