Markovian heat sources with the smallest heat capacity

TL;DR

This paper introduces a method to induce Markovian thermal dynamics using a small, cold heat bath by injecting phase noise, enabling Markovian behavior independent of the bath's internal properties.

Contribution

The authors propose a novel scheme to achieve Markovian dynamics with arbitrarily small and cold baths through phase noise injection, challenging the conventional requirement of large hot baths.

Findings

Small baths can induce Markovian dynamics with phase noise.

The scheme is feasible in ion traps and superconducting qubits.

System dynamics can be made independent of bath internal details.

Abstract

Thermal Markovian dynamics is typically obtained by coupling a system to a sufficiently hot bath with a large heat capacity. Here we present a scheme for inducing Markovian dynamics using an arbitrarily small and cold heat bath. The scheme is based on injecting phase noise to the small bath. Several unique signatures of small bath are studied. We discuss realizations in ion traps and superconducting qubits and show that it is possible to create an ideal setting where the system dynamics is indifferent to the internal bath dynamics.