Anomalous localization in spin-chain with tilted interactions

Author:

Arindam Mallick, Jakub Zakrzewski

Keyword:

Condensed Matter, Disordered Systems and Neural Networks, Disordered Systems and Neural Networks (cond-mat.dis-nn), Quantum Gases (cond-mat.quant-gas), Strongly Correlated Electrons (cond-mat.str-el), High Energy Physics - Lattice (hep-lat), Quantum Physics (quant-ph)

journal:

date:

2024-01-25 00:00:00

Abstract

The localization properties of a disorder-free spin chain with inhomogeneous interactions are studied. In particular, we consider interaction strength growing linearly along the chain for systems with different interaction ranges. Using exact diagonalization we find the participation ratio of all eigenstates which allows us to quantify the localization volume in the Hilbert space. Surprisingly the localization volume changes nonmonotonically with the interaction range. The model for the infinite interaction range resembles the Schwinger model of lattice gauge theory in staggered formalism. The model studied may be implemented in state-of-the-art cold atomic devices and could reveal hidden features in disorder-free confinement phenomena.

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