Geometric speed limit for fermionic dimer as a hallmark of Coulomb interaction. (English) Zbl 1542.81494
Summary: 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.
MSC:
| 81S22 | Open systems, reduced dynamics, master equations, decoherence |
| 82C20 | Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics |
Keywords:
quantum speed limit; fermionic systems; Coulomb interaction; adiabatic open systems; stochastic controlSoftware:
QuTiPReferences:
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