Towards Realistic Time-Resolved Simulations of Quantum Devices

TL;DR

This paper presents a method for realistic, time-resolved simulations of large quantum devices, enabling detailed analysis of inelastic effects and complex systems on standard computers.

Contribution

It introduces a simulation approach that handles large-scale, time-dependent quantum systems with inelastic effects, demonstrated on a flying qubit interferometer.

Findings

Simulations of 16,700 sites are feasible on local computers.

Long simulation times (up to 80,000 units) are achievable.

The approach accurately models inelastic, time-dependent quantum phenomena.

Abstract

We report on our recent efforts to perform realistic simulations of large quantum devices in the time domain. In contrast to d.c. transport where the calculations are explicitly performed at the Fermi level, the presence of time-dependent terms in the Hamiltonian makes the system inelastic so that it is necessary to explicitly enforce the Pauli principle in the simulations. We illustrate our approach with calculations for a flying qubit interferometer, a nanoelectronic device that is currently under experimental investigation. Our calculations illustrate the fact that many degrees of freedom (16,700 tight-binding sites in the scattering region) and long simulation times (80,000 times the inverse Bandwidth of the tight-binding model) can be easily achieved on a local computer.