Minimizing Dissipation via Interacting Environments: Quadratic Convergence to Landauer Bound

Abstract

We explore the fundamental limits on thermodynamic irreversibility when cooling a quantum system in the presence of a finite-size reservoir. First, we prove that for any non-interacting $n$-particle reservoir, the entropy production $\Sigma$ decays at most linearly with $n$. Instead, we derive a cooling protocol in which $\Sigma \propto 1/n^2$, which is in fact the best possible scaling. This becomes possible due to the presence of interactions in the finite-size reservoir, which must be prepared at the verge of a phase transition. Our results open the possibility of cooling with a higher energetic efficiency via interacting reservoirs.

5+7 pages. Comments welcome!

References in corpus (14)

• Individual quantum probes for optimal thermometry
• Quantum thermodynamic devices: from theoretical proposals to experimental reality
• Performance of a quantum heat engine at strong reservoir coupling
• Finite-time Landauer principle
• Fast electron thermometry towards ultra-sensitive calorimetric detection
• Quantum regression theorem and non-Markovianity of quantum dynamics
• Collective advantages in finite-time thermodynamics
• Superradiant many-qubit absorption refrigerator
• Finite-time Landauer principle beyond weak coupling
• Relaxation Dynamics of Meso-Reservoirs
• Stochastic thermodynamics of a quantum dot coupled to a finite-size reservoir
• Optimal Thermometers with Spin Networks
• Efficiently Cooling Quantum Systems with Finite Resources: Insights from Thermodynamic Geometry
• Complexity-constrained quantum thermodynamics

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