Many-Body Localization for Randomly Interacting Bosons |
| P. Sierant a, D. Delandeb,a, J. Zakrzewskia,c
aInstytut Fizyki imienia Mariana Smoluchowskiego, Uniwersytet Jagielloński, Profesora Stanisława Łojasiewicza 11, PL-30348 Kraków, Poland bLaboratoire Kastler Brossel, UPMC-Sorbonne Universités, CNRS, ENS-PSL Research University, Collège de France, 4 Place Jussieu, 75005 Paris, France cMark Kac Complex Systems Research Center, Uniwersytet Jagielloński, Kraków, Poland |
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| 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. |
DOI: 10.12693/APhysPolA.132.1707 topics: many-body localization, Bose-Hubbard model, disorder in many-body physics, mobility edge |