Stark many-body localization: Evidence for Hilbert-space shattering
arXiv:2012.13722 · doi:10.1103/PhysRevB.103.L100202
Abstract
We study the dynamics of an interacting quantum spin chain under the application of a linearly increasing field. This model exhibits a type of localization known as Stark many-body localization. The dynamics shows a strong dependence on the initial conditions, indicating that the system violates the conventional ("strong") eigenstate thermalization hypothesis at any finite gradient of the field. This is contrary to reports of a numerically observed ergodic phase. Therefore, the localization is crucially distinct from disorder-driven many-body localization, in agreement with recent predictions on the basis of localization via Hilbert-space shattering.
7 pages, 4 figures, supplementary with 2 pages, 1 figure
References in corpus (12)
- The density-matrix renormalization group in the age of matrix product states
- Many body localization and thermalization in quantum statistical mechanics
- Anderson Transitions
- Many-body localization edge in the random-field Heisenberg chain
- Recent progress in many-body localization
- Can we study the many-body localisation transition?
- Time-dependent variational principle in matrix-product state manifolds: pitfalls and potential
- Many-body localization near the critical point
- Many-body localization of bosons in optical lattice: Dynamics in disorder-free potentials
- Many-body interband tunneling as a witness for complex dynamics in the Bose-Hubbard model
- Bath-induced decay of Stark many-body localization
- Nonlinear delocalization on disordered Stark ladder