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We develop a mapping of quantum steady-state nonequilibrium to an effectiveequilibrium and solve the problem using a quantum simulation technique. Asystematic implementation of the nonequilibrium boundary condition insteady-state is made in the electronic transport on quantum dot structures.This formulation of quantum manybody problem in nonequilibrium enables the useof existing numerical quantum manybody techniques. The algorithm coherentlydemonstrates various transport behaviors from phonon-dephasing to I-V staircaseand phonon-assisted tunneling.Comment: 5 pages, 4 figure

Quantum simulation of many-body effects in steady-state nonequilibrium: Electron-phonon coupling in quantum dots