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Related Experiment Video

Updated: May 16, 2026

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform

Published on: August 2, 2019

Nonperturbative approach to circuit quantum electrodynamics.

Olafur Jonasson¹, Chi-Shung Tang, Hsi-Sheng Goan

¹Science Institute, University of Iceland, Dunhaga 3, IS-107 Reykjavik, Iceland.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|December 11, 2012

Summary

We present a method to solve the many-body Schrödinger equation for electronic systems interacting with magnetic and quantized electromagnetic fields. Including the diamagnetic term improves convergence, but electronic basis size remains a challenge.

Related Experiment Videos

Last Updated: May 16, 2026

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform

Published on: August 2, 2019

Area of Science:

Quantum mechanics
Computational physics
Quantum chemistry

Background:

Solving the many-body Schrödinger equation for complex electronic systems is computationally demanding.
Accurately modeling interactions with external fields, including quantized electromagnetic fields, is crucial for understanding material properties.

Purpose of the Study:

To develop a rigorous computational method for solving the many-body Schrödinger equation for Coulomb interacting electronic systems.
To incorporate the effects of external classical magnetic fields and quantized electromagnetic fields.
To account for the geometry of the electronic system and the polarization of the electromagnetic field.

Main Methods:

Repeated truncation of many-body spaces to manage computational complexity.
Nonperturbative treatment of electron-electron and electron-photon interactions using exact numerical diagonalization.
Inclusion of the diamagnetic term in the photon-electron interaction Hamiltonian.

Main Results:

The proposed method allows for the inclusion of geometric and polarization effects.
Numerical convergence is significantly improved by including the diamagnetic term.
Fast convergence is observed with respect to the number of photon states.
Slow convergence with respect to the number of electronic states is identified as the primary computational bottleneck.

Conclusions:

The developed method provides a robust framework for studying quantum electronic systems interacting with electromagnetic fields.
The diamagnetic term is essential for efficient numerical convergence in such calculations.
Further research is needed to overcome the slow convergence related to the electronic basis size.