Cooperative bound states in quantum walks of interacting particles

M.F.V. Oliveira, M.S. Santos, Michele B. Coêlho, F.A.B.F. de Moura and W.S. Dias

Physica A: Statistical Mechanics and its Applications, 2024, vol. 640, issue C

Abstract: Although multiparticle quantum walks have been claimed to be universal for quantum computing, fundamental issues still need further understanding, such as the formation of bound states and their role in particle dynamics. By considering the framework of two-particle quantum walks, we study particles with short- or long-range interactions between them and observe the emergence of local and non-local bound states associated with these interactions. We show that such bound states can perform competitive and cooperative influence with existing states, sometimes resulting in unusual dynamics. In addition to revealing the optimal scenarios for particles to perform coherent dynamics, we also show that cooperative scenarios between bound states are responsible for robustly correlated quantum walks. Thus, coherent dynamics of particles can be maintained even for strong interaction strengths, avoiding the nonmonotonic behavior exhibited by systems with only on-site interaction.

Keywords: Quantum walks; Interacting particles; Bound states; Bloch oscillations (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:640:y:2024:i:c:s0378437124002061

DOI: 10.1016/j.physa.2024.129697

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