<span style=\u00a0\u00bbfont-size: 20px;\u00a0\u00bb><span style=\u00a0\u00bbcolor: #191970;\u00a0\u00bb><strong>Michele Filippone <\/strong><\/span>(CEA Grenoble)<\/span><\/p>\n
<span style=\u00a0\u00bbbackground-color: #cecece;\u00a0\u00bb>Seminar LPT, 11\/07\/2024, 14H, 3R1, seminar room, 3rd floor<\/span><\/p>\n
<span style=\u00a0\u00bbfont-size: 20px; color: #191970;\u00a0\u00bb><strong>Abstract :<\/strong><\/span><\/p>\n
Understanding the emergence of diffusion in quantum systems remains a challenging problem in theoretical physics. An extended class of models expected to exhibit diffusive behavior is given by Quantum Stochastic Hamiltonians (QSHs), which describe lattice models affected by time- and space-dependent noise. However, the averaged dynamics of such models are governed by non-linear Lindblad equations, whose theoretical study usually relies on numerical methods or case-by-case solutions, with strong constraints on geometries and driving protocols.<\/p>\n
In this talk, I will present a systematic method to derive exact and analytical solutions for the stationary quantum transport of QSHs in arbitrary configurations [1]<\/strong>. Our solution is based on an exact self-consistent Born scheme for diagrammatics in the Keldysh representation [2]<\/strong>. We show that most QSHs behave as diffusive \u00ab\u00a0quantum stochastic resistors,\u00a0\u00bb whose properties are encoded in the Keldysh component of the single-particle Green\u2019s function. I will provide a semi-classical interpretation of such systems [3]<\/strong>, and in particular, I will discuss how our exact solution demonstrates the validity of a new perturbation scheme in the inverse system size, named the 1\/N expansion, to study out-of-equilibrium diffusive\/ohmic systems.<\/p>\n I will conclude by discussing how our approach can be extended to describe quantum transport in continuously monitored settings. I will show that measurements trigger non-reciprocal currents in quantum devices, thus acting as a resource for power generation and quantum measurement cooling [4]<\/strong>.<\/p>\n <\/p>\n <hr \/><\/p>\n\n