Local integrals of motion in the two-site Anderson-Hubbard model

Abstract

It has been proposed that the states of fully many-body localized systems can be described in terms of conserved local pseudospins. Due to the multitude of ways to define these, the explicit identification of the optimally local pseudospins in specific systems is non-trivial. Given continuing intense interest in the role of disorder in strongly correlated systems, we consider the disordered Hubbard model. Focusing on a two-site system, we track the evolution of the optimally localized pseudospins as hopping and interactions are varied to move the system away from the trivially localized atomic limit, examining the explicit form of the pseudospins and exploring the broad distribution of non-optimal forms.

9 pages, 3 figures

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• Charge and spin-specific local integrals of motion in a disordered Hubbard model
• Strong Disorder Renormalization for the dynamics of Many-Body-Localized systems : iterative elimination of the fastest degree of freedom via the Floquet expansion
• Many-Body-Localization : Strong Disorder perturbative approach for the Local Integrals of Motion
• Disorder-induced spin-charge separation in the 1-D Hubbard model
• Even and odd normalized zero modes in random interacting Majorana models respecting the Parity $P$ and the Time-Reversal-Symmetry $T$
• Contour-time approach to the disordered Bose-Hubbard model in the strong coupling regime
• Construction of Many-Body-Localized Models where all the eigenstates are Matrix-Product-States