Resonance-induced growth of number entropy in strongly disordered systems

Understand

We study the growth of the number entropy $S_N$ in one-dimensional number-conserving interacting systems with strong disorder, which are believed to display many-body localization.

• Recently a slow and small growth of $S_N$ has been numerically reported, which, if holding at asymptotically long times in the thermodynamic limit, would imply ergodicity and therefore the absence of true localization.
• By numerically studying $S_N$ in the disordered isotropic Heisenberg model we first reconfirm that, indeed, there is a small growth of $S_N$.
• However, we show that such growth is fully compatible with localization.