Thermalization of quantum-state texture and Hamiltonian-phase effects

Characterize the thermalization of quantum-state texture in interacting spin systems, with particular emphasis on how a Hamiltonian phase that survives in local-basis coherences influences the thermalization dynamics.

Background

The paper studies quantum-state texture in an anisotropic spin-1/2 Heisenberg dimer with a longitudinal Dzyaloshinskii–Moriya interaction. Texture is basis dependent and phase sensitive, while environmental coupling simultaneously redistributes populations, damps coherences, and can interact with coherent Hamiltonian phase evolution.

The authors identify the broader thermalization of texture in interacting spin systems as unresolved, especially when a Hamiltonian phase remains encoded in local-basis coherences. The dimer model is introduced as an analytically tractable setting for investigating this issue through a global weak-coupling Lindblad equation and comparisons among texture, coherence, chirality, and purity.

References

Nevertheless, the thermalization of texture in an interacting spin system, and especially the role of a Hamiltonian phase that survives in local-basis coherences, remain open problems.

— Phase-sensitive quantum-state texture during thermalization of a Dzyaloshinskii-Moriya Heisenberg dimer  (2610.26736 - Rojas et al., 19 Oct 2026) in Section Introduction