Entanglement and thermokinetic uncertainty relations in coherent mesoscopic transport

Steady-state entanglement production in a quantum thermal machine with continuous feedback control

“…For U → ∞, |11⟩ cannot be occupied, and with infinite bias, electrons can only move unidirectionally towards the bath with lowest chemical potential. Thus, in the absence of measurements and feedback, the system autonomously evolves according to equation ( 9), explaining why our result coincide with [10]. However, note that our result is valid for finite U, even for non-interacting particles (U = 0).…”

“…We note that the same concurrence (10) was obtained in [10] when implementing the system in a double quantum dot with U → ∞ and an infinite external voltage bias across the system. For U → ∞, |11⟩ cannot be occupied, and with infinite bias, electrons can only move unidirectionally towards the bath with lowest chemical potential.…”

“…We note that the population of the doubly excited state vanishes, even though we did not make any assumptions on U. By identifying α, ϱ 00 and ϱ 11 (equation ( 4)), and using equation ( 5), we get the expression for concurrence given in equation (10). We also stress that we have made no assumptions whether the baths are fermionic or bosonic, the results are valid for both.…”

“…Note that increasing g indefinitely is detrimental for the entanglement production, as it enhances Rabi oscillations in the coherently coupled subspace. Averaging over many oscillations reduces the entanglement (see equation (10)).…”

“…This amounts to bath engineering, but can improve entanglement production to the extent that non-trivial teleportation fidelities are possible. Complementary to that, by implementing the minimal machine in a double quantum dot, a large voltage bias can be applied across the system to generate entanglement that is nonlocal [10].…”