Many-body localization for randomly interacting bosons
arXiv:1707.08845 · doi:10.12693/APhysPolA.132.1707
Abstract
We study many-body localization in a one dimensional optical lattice filled with bosons. The interaction between bosons is assumed to be random, which can be realized for atoms close to a microchip exposed to a spatially fluctuating magnetic field. Close to a Feshbach resonance, such controlled fluctuations can be transfered to the interaction strength. We show that the system reveals an inverted mobility edge, with mobile particles at the lower edge of the spectrum. A statistical analysis of level spacings allows us to characterize the transition between localized and excited states. The existence of the mobility edge is confirmed in large systems, by time dependent numerical simulations using tDMRG. A simple analytical model predicts the long time behavior of the system.
6pp. invited talk at "8th Workshop on Chaos and Localization Phenomena" Warsaw, May 2017
References in corpus (10)
- 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 edge in the random-field Heisenberg chain
- The distribution of the ratio of consecutive level spacings in random matrix ensembles
- Many body localization in Heisenberg XXZ magnet in a random field
- Phenomenology of fully many-body-localized systems
- Many-body localization due to random interactions
- Many-Body Localization in System with a Completely Delocalized Single-Particle Spectrum
- Statistical Bubble Localization with Random Interactions