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Cooperative bound states in quantum walks of interacting particles

Author

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

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.

Suggested Citation

  • Oliveira, M.F.V. & Santos, M.S. & Coêlho, Michele B. & de Moura, F.A.B.F. & Dias, W.S., 2024. "Cooperative bound states in quantum walks of interacting particles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 640(C).
    • Handle: RePEc:eee:phsmap:v:640:y:2024:i:c:s0378437124002061
    DOI: 10.1016/j.physa.2024.129697
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    References listed on IDEAS

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    1. Giacomo Corrielli & Andrea Crespi & Giuseppe Della Valle & Stefano Longhi & Roberto Osellame, 2013. "Fractional Bloch oscillations in photonic lattices," Nature Communications, Nature, vol. 4(1), pages 1-6, June.
    2. Weixuan Zhang & Hao Yuan & Haiteng Wang & Fengxiao Di & Na Sun & Xingen Zheng & Houjun Sun & Xiangdong Zhang, 2022. "Observation of Bloch oscillations dominated by effective anyonic particle statistics," Nature Communications, Nature, vol. 13(1), pages 1-8, December.
    3. Peixoto, A.S. & Dias, W.S. & Lyra, M.L. & de Moura, F.A.B.F., 2014. "Wavepacket dynamics of coupled particles in aperiodic chains: Weakening of Anderson localization and local field effects," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 395(C), pages 22-30.
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