Can we study the many-body localisation transition?
By R. Panda, Antonello Scardicchio, M. Schulz, S. Taylor, Marko vZnidarivc. Europhysics letters, 2019
197 citations recorded by the source corpus.
We present a detailed analysis of the length- and timescales needed to approach the critical region of MBL from the delocalised phase, studying both eigenstates and the time evolution of an initial state. For the eigenstates we show that in the delocalised region there is a single length, which is a function of disorder strength, controlling the finite-size flow. Small systems look localised, and only for larger systems do resonances develop which restore ergodicity in the form of the eigenstate thermalisation hypothesis. For the transport properties, we study the time necessary to transport a single spin across a domain wall, showing how this grows quickly with increasing disorder, and compare it with the Heisenberg time. For a sufficiently large system the Heisenberg time is always larger than the transport time, but for a smaller system this is not necessarily the case. We conclude that the properties of the MBL transition cannot be explored using the system sizes or times available to current numerical and experimental studies.
Subfields: Atomic and Molecular Physics, and Optics, Physical and Theoretical Chemistry
View Paper: https://www.semanticscholar.org/paper/d390539ef83c414d04846294baf7065d148198a6
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Atomic and Molecular Physics, and Optics
In Physical and Theoretical Chemistry
Citations in the corpus
- Ergodicity breaking transition in finite disordered spin chains (2020, background): “Subsequent work [101–103] mostly argued in favor of the second option.”