Correlated vs. uncorrelated noise acting on a quantum refrigerator

Abstract

Two qubits form a quantum four-level system. The golden-rule based transition rates between these states are determined by the coupling of the qubits to noise sources. We demonstrate that depending on whether the noise acting on the two qubits is correlated or not, these transitions are governed by different selection rules. In particular, we find that for fully correlated or anticorrelated noise, there is a protected state, and the dynamics of the system depends then on its initialization. For nearly (anti)correlated noise, there is a long time scale determining the temporal evolution of the qubits. We apply our results to a quantum Otto refrigerator based on two qubits coupled to hot and cold baths. Even in the case when the two qubits do not interact with each other, the cooling power of the refrigerator does not scale with the number ($=2$ here) of the qubits when there is strong correlation of noise acting on them.

Typos corrected in v2

References in corpus (9)

• Quantum Thermodynamic Cycles and quantum heat engines
• Quantum limit of heat flow across a single electronic channel
• Single-mode heat conduction by photons
• Otto refrigerator based on a superconducting qubit: classical and quantum performance
• Universal Coherence-Induced Power Losses of Quantum Heat Engines in Linear Response
• Information entropic superconducting microcooler
• Decoherence by Correlated Noise and Quantum Error Correction
• Effects of low-frequency noise cross-correlations in coupled superconducting qubits
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• Common environmental effects on quantum thermal transistor
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• Quantum heat valve and entanglement in superconducting $LC$ resonators
• Leveraging collective effects for thermometry in waveguide quantum electrodynamics
• Characterize noise correlation and enhance coherence via qubit motion