Quantum Thermal Analogs of Electric Circuits: A Universal Approach

TL;DR

This paper introduces a comprehensive framework for quantum thermal analogs of electric circuits, establishing foundational laws and designing novel quantum thermal circuits to advance quantum device engineering.

Contribution

It develops a universal approach to quantum thermal circuits, including new designs like the quantum thermal super Wheatstone bridge and adder circuit, expanding the scope of quantum thermal device architecture.

Findings

Established quantum analogs of Kirchhoff's laws for heat currents.

Designed novel quantum thermal circuits such as the super Wheatstone bridge.

Unified various thermal devices under a common quantum circuit framework.

Abstract

In this work, we develop a panoramic schematic of quantum thermal analogs of electric circuits in the steady state regime. We establish the foundations of said premise by defining the analogs of Kirchhoff's laws for heat currents and temperature gradients, as well as a quantum thermal step transformer. Using this, we develop two novel quantum thermal circuits, viz., quantum thermal super Wheatstone bridge and quantum thermal adder circuit, paving the way for the corresponding integrated circuits. We further show that our approach encompasses various circuits like thermal diode, transistor, and Wheatstone bridge. This sheds new light on the present architecture of quantum device engineering.