Quantum critical phenomena in heat transport via a two-state system

TL;DR

This paper investigates quantum critical behavior in heat transport through a two-state system coupled to sub-ohmic reservoirs, using quantum Monte Carlo simulations and proposing a superconducting circuit implementation.

Contribution

It provides a theoretical analysis of quantum critical phenomena in heat transport and introduces a superconducting circuit to experimentally observe these effects.

Findings

Thermal conductance exhibits critical behavior near the quantum phase transition.

Critical exponents are calculated for the temperature dependence of conductance.

A practical superconducting circuit design is proposed for experimental realization.

Abstract

We present a theoretical study of the quantum critical behavior in heat transport via a two-state system with sub-ohmic reservoirs. We calculate the temperature dependence of the thermal conductance near the quantum phase transition via the continuous-time quantum Monte Carlo method and discuss its critical exponents. We also propose a superconducting circuit to realize the sub-ohmic spin-boson model that can be used to observe quantum critical phenomena.