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

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Hall conductance for open two-band system beyond rotating-wave approximation.

W Q Zhang¹, H Z Shen^1,2, X X Yi^3,4

¹Center for Quantum Sciences, Northeast Normal University, Changchun, 130117, China.

Scientific Reports

|November 28, 2017

Summary

This study investigates the Hall conductance in open two-band systems, revealing that topological phase transitions remain robust despite environmental interactions. The research offers insights into controlling system responses in condensed matter physics.

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Area of Science:

Condensed matter physics
Quantum statistical mechanics

Background:

The response of open quantum systems to external fields differs from isolated systems.
Understanding environmental influence on Hall conductance in two-band models is crucial.

Purpose of the Study:

To systematically study the Hall conductance of a two-band model interacting with its environment.
To derive an analytical expression for Hall conductance beyond the rotating wave approximation (RWA).

Main Methods:

Treating the system and environment on equal footing.
Deriving the ground state of the whole system beyond the RWA.
Calculating an analytical expression for Hall conductance in the ground state.

Main Results:

An analytical expression for the Hall conductance of an open two-band system was derived.
Topological phase transition points were found to be robust against environmental influence.
The derived expression was applied to a magnetic semiconductor and a 2D lattice electron gas.

Conclusions:

Environmental interactions do not alter the robustness of topological phase transitions.
The study provides a method for controlling the response of open quantum systems.
Findings have potential applications in condensed matter physics and quantum statistical mechanics.