Atomic Fermi-Bose mixtures in inhomogeneous and random lattices: From Fermi glass to quantum spin glass and quantum percolation

TL;DR

This paper explores how atomic Fermi-Bose mixtures behave in disordered optical lattices, revealing the potential to realize various quantum phases like Fermi glass, spin glass, and percolation by controlling interactions locally.

Contribution

It derives an effective Hamiltonian for strongly interacting Fermi-Bose mixtures in inhomogeneous and random lattices, enabling the study of diverse quantum phases.

Findings

Demonstrates control of local interactions in inhomogeneous lattices

Shows realization of Fermi glass, spin glass, and percolation regimes

Provides a framework for understanding disordered quantum systems

Abstract

We investigate atomic Fermi-Bose mixtures in inhomogeneous and random optical lattices in the limit of strong atom-atom interactions. We derive the effective Hamiltonian describing the dynamics of the system and discuss its low temperature physics. We demonstrate possibility of controlling the interactions at local level in inhomogeneous but regular lattices. Such a control leads to the achievement of Fermi glass, quantum Fermi spin glass, and quantum percolation regimes involving bare and/or composite fermions in random lattices.