Quantum refrigerator embedded in spin-star environments: Scalings of temperature and refrigeration time
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866911105959329792 |
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| author | Mondkar, Sukrut Bhattacharyya, Aparajita Sen, Ujjwal |
| author_facet | Mondkar, Sukrut Bhattacharyya, Aparajita Sen, Ujjwal |
| contents | 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 is not 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 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_04374 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quantum refrigerator embedded in spin-star environments: Scalings of temperature and refrigeration time Mondkar, Sukrut Bhattacharyya, Aparajita Sen, Ujjwal Quantum Physics 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 is not 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 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. |
| title | Quantum refrigerator embedded in spin-star environments: Scalings of temperature and refrigeration time |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2505.04374 |