Quantum refrigerator embedded in spin-star environments: Scalings of temperature and refrigeration time

• URL: http://arxiv.org/abs/2505.04374v1
• Date: Wed, 07 May 2025 12:53:05 GMT
• Title: Quantum refrigerator embedded in spin-star environments: Scalings of temperature and refrigeration time
• Authors: Sukrut Mondkar, Aparajita Bhattacharyya, Ujjwal Sen,
• Abstract summary: We examine a quantum absorption refrigerator that comprises three qubits, each of which is connected with a spin-star environment.<n>Since the spin-star environment is inherently non-Markovian in nature, steady-state cooling may or may not be achieved.<n>We derive the condition for autonomous refrigeration and analyze how the optimal cold qubit temperature scales with the number of bath qubits.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We examine a quantum absorption refrigerator that comprises three qubits, each of which is connected with a separate spin-star environment. The refrigerator exhibits the feature of transient cooling, i.e., lowering of the temperature of the first qubit in sufficiently small timescales. Since the spin-star environment is inherently non-Markovian in nature, steady-state cooling may or may not be achieved. A key advantage of our model is that the symmetries of the Hamiltonian enable a solution of the reduced density matrices of the refrigerator qubits, even in the presence of a large number (~50) of environmental spins. We derive the condition for autonomous refrigeration and analyze how the optimal cold qubit temperature scales with the number of bath qubits. We find a power law scaling towards a constant asymptotic value. We also find the scaling of the minimum time required for cooling as a function of the number of bath spins. Further, we scrutinize the heat currents associated with each of the three qubits.

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