Quantum Many-Body Dynamics of Coupled Double-Well Superlattices
Peter Barmettler, Ana Maria Rey, Eugene Demler, Mikhail D. Lukin,, Immanuel Bloch, Vladimir Gritsev

TL;DR
This paper introduces a method to generate and analyze highly entangled states in spinor atoms within optical superlattices, advancing quantum information processing and simulation capabilities.
Contribution
It presents a controllable scheme for creating long-range entangled pairs and studies the dynamics of entanglement in spin chains, with potential applications in quantum computing.
Findings
Generation of large-scale entangled states with high persistency.
Observation of coexistence of short-range antiferromagnetic and long-range ferromagnetic correlations.
Proposed detection methods for dynamically generated quantum states.
Abstract
We propose a method for controllable generation of non-local entangled pairs using spinor atoms loaded in an optical superlattice. Our scheme iteratively increases the distance between entangled atoms by controlling the coupling between the double wells. When implemented in a finite linear chain of 2N atoms, it creates a triplet valence bond state with large persistency of entanglement (of the order of N). We also study the non-equilibrium dynamics of the one-dimensional ferromagnetic Heisenberg Hamiltonian and show that the time evolution of a state of decoupled triplets on each double well leads to the formation of a highly entangled state where short-distance antiferromagnetic correlations coexist with longer-distance ferromagnetic ones. We present methods for detection and characterization of the various dynamically generated states. These ideas are a step forward towards the use of…
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