Robust fermionic-mode entanglement of a nanoelectronic system in non-Markovian environments

Abstract

A maximal steady-state fermionic entanglement of a nanoelectronic system is\ngenerated in finite temperature non-Markovian environments. The fermionic\nentanglement dynamics is presented by connecting the exact solution of the\nsystem with an appropriate definition of fermionic entanglement. We prove that\nthe two understandings of the dissipationless non-Markovian dynamics, namely\nthe bound state and the modified Laplace transformation are completely\nequivalent. For comparison, the steady-state entanglement is also studied in\nthe wide-band limit and Born-Markovian approximation. When the environments\nhave a finite band structure, we find that the system presents various kinds of\nrelaxation processes. The final states can be: thermal or thermal-like states,\nquantum memory states and oscillating quantum memory states. Our study provide\nan analytical way to explore the non-Markovian entanglement dynamics of\nidentical fermions in a realistic setting, i.e., finite temperature reservoirs\nwith a cutoff spectrum.\n