Dynamical l-bits in Stark many-body localization

Understand

Stark many-body localized (SMBL) systems have been shown both numerically and experimentally to have Bloch many-body oscillations, quantum many-body scars, and fragmentation in the large field tilt limit.

• Likewise, they are believed to show localization similar to disordered MBL.
• We explain and analytically prove all these observations by rigorously showing the existence of novel algebraic structures that are exponentially stable in time, which we call dynamical l-bits.
• Moreover, we show that many-body Bloch oscillations persist even at infinite temperature for exponentially long-times.