Theory of two-terminal transport through a lossy quantum point contact

Recently, the ETH group has succeeded in observing mesoscopic currents through a quantum point contact in the presence of particle loss [1]. Motivated by such an experimental progress, in this talk, I will discuss a mesoscopic transport theory to deal with the lossy quantum point contact. I will explain formulas associated with the mesoscopic currents [2], and unpublished works if time permits.

[1] L. Corman et al., Phys. Rev. A 100, 053605 (2019).

[2] S. Uchino, Phys. Rev. A 106, 053320 (2022).