Signatures of many-body localisation in the dynamics of two-sites entanglement
arXiv:1608.08901 · doi:10.1103/PhysRevB.94.214206
Abstract
We are able to detect clear signatures of dephasing -- a distinct trait of Many-Body Localisation (MBL) -- via the dynamics of two-sites entanglement, quantified through the concurrence. Using the protocol implemented in [Science {\bf 349}, 842 (2015)] we show that -- in the MBL phase -- the average two-site entanglement decays in time as a power law, while in the Anderson localised phase it tends to a plateau. The exponent of the power law is not universal and shows a clear dependence on the strength of the interaction. This behaviour is also qualitatively different in the ergodic phase where the two-site entanglement decays exponentially. All the results are obtained by means of time-dependent density matrix renormalisation group simulations; they are corroborated by analytical calculations on an effective model. Two-site entanglement has been already measured in cold atoms: Our analysis paves the way for the first direct experimental test of many-body dephasing in the MBL phase.
16 pages, 11 figures. References updated. See also the related work by S. Campbell et al., arXiv:1608.08897
References in corpus (17)
- The density-matrix renormalization group in the age of matrix product states
- Many body localization and thermalization in quantum statistical mechanics
- Localization of interacting fermions at high temperature
- Many body localization in Heisenberg XXZ magnet in a random field
- Phenomenology of fully many-body-localized systems
- General Monogamy Inequality for Bipartite Qubit Entanglement
- Integrals of motion in the Many-Body localized phase
- Constructing local integrals of motion in the many-body localized phase
- Ergodicity breaking in a model showing many-body localization
- Anomalous thermalization in ergodic systems
- Quantum quenches in the many-body localized phase
- Interferometric probes of many-body localization
- Quantum Quenches, Thermalization and Many-Body Localization
- Dynamics in many-body localized quantum systems without disorder
- Quantum revivals and many-body localization
- Non-equilibrium quantum relaxation across a localization-delocalization transition
- Detecting two-site spin-entanglement in many-body systems with local particle-number fluctuations