Heat bath in a quantum circuit

Abstract

We discuss the concept and realization of a heat bath in solid state quantum systems. First we demonstrate that, unlike a true resistor, a finite one-dimensional Josephson junction array or analogously a transmission line with non-vanishing frequency spacing does not strictly qualify as a Caldeira-Leggett type dissipative environment. We then consider a set of quantum two-level systems as a bath, which can be realized as a collection of qubits. We demonstrate that only a dense and wide distribution of energies of the two-level systems can secure long Poincare recurrence times characteristic of a proper heat bath. An alternative for this bath is a collection of harmonic oscillators, for instance in form of superconducting resonators.

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Cited by in corpus (6)

• Roadmap on Quantum Thermodynamics
• Dynamical blockade of a reservoir for optimal performances of a quantum battery
• Emergence of steady quantum transport in a superconducting processor
• Finite temperature detection of quantum critical points via internal quantum teleportation
• Circuit QED theory of direct and dual Shapiro steps with finite-size transmission line resonators
• Revisiting dissipation-driven phase transition in a Josephson junction