Interplay between local and non-local frustration in the 1D ANNNI chain I -- The even case
arXiv:2406.19449 · doi:10.1088/1742-5468/adc897
Abstract
We consider the effects of the competition between different sources of frustration in 1D spin chains through the analysis of the paradigmatic ANNNI model, which possesses an extensive amount of frustration of local origin due to the competition between nearest and next-to-nearest neighbor interactions. An additional, non-extensive amount of topological frustration can be added by applying suitable boundary conditions, and we show that this seemingly subdominant contribution significantly affects the model. Choosing periodic boundary conditions with an {\it even} number of sites not divisible by 4 and using the entanglement entropy as a probe, we demonstrate that in one of the model's phases, the ground state can be characterized as hosting two (almost) independent excitations. Thus, not only do we show an intriguing interplay between different types of frustration, but also manage to propose a non-trivial quasi-particle interpretation for it.
7 pages of main text plus appendices, 13 figures
References in corpus (16)
- DMRG and periodic boundary conditions: a quantum information perspective
- Bipartite entanglement and entropic boundary law in lattice spin systems
- Choreographed entangle dances: topological states of quantum matter
- Theory of ground state factorization in quantum cooperative systems
- Separability and ground state factorization in quantum spin systems
- Evidence for a floating phase of the transverse ANNNI model at high frustration
- Quantum phase detection generalisation from marginal quantum neural network models
- Complexity of frustration: a new source of non-local non-stabilizerness
- Lectures on Quantum Tensor Networks
- Density-matrix renormalization group: a pedagogical introduction
- Odd thermodynamic limit for the Loschmidt echo
- Long-range entanglement and topological excitations
- Frustration, Area Law, and Interference in Quantum Spin Models
- Simulating continuous symmetry models with discrete ones
- Random unitaries, Robustness, and Complexity of Entanglement
- Shor-Movassagh chain leads to unusual integrable model