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Geometric speed limit for fermionic dimer as a hallmark of Coulomb interaction

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Abstract

We are investigating the quantum geometric speed limit (QSL) for a Hubbard-type fermionic dimer subjected to the effects of decoherence and driving. The influence of decoherence is explored through the utilization of three distinct models that describe weak connections between the dimer and its environment, employing the Davies approximation. We consider two different types of driving: adiabatic driving and white noise stochastic driving. Our findings demonstrate that the properties of the geometric QSL are affected by both the on-site and inter-site Coulomb interactions among the fermions in the dimer. The interplay between Coulomb interactions and the influence or control exerted by external classical or quantum noise results in distinct time regimes for the evolution of the dimer, characterized by specific and potentially desirable QSL properties.

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Authors and Affiliations

  1. Institute of Physics, University of Silesia in Katowice, 40-007, Katowice, Poland

    Jerzy Dajka

  2. Tadeusz Widła Interdisciplinary Research Centre for Forensic Science and Legislation, University of Silesia in Katowice, 40-007, Katowice, Poland

    Jerzy Dajka

  3. Silesian Center for Education and Interdisciplinary Research, University of Silesia in Katowice, Chorzów, Poland

    Jerzy Dajka

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Dajka, J. Geometric speed limit for fermionic dimer as a hallmark of Coulomb interaction. Quantum Inf Process 23, 93 (2024). https://doi.org/10.1007/s11128-024-04299-9

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