Kerr-type nonlinear baths enhance cooling in quantum refrigerators
- URL: http://arxiv.org/abs/2311.10499v1
- Date: Fri, 17 Nov 2023 12:58:24 GMT
- Title: Kerr-type nonlinear baths enhance cooling in quantum refrigerators
- Authors: Tanaya Ray, Sayan Mondal, Aparajita Bhattacharyya, Ahana Ghoshal,
Debraj Rakshit and Ujjwal Sen
- Abstract summary: We study the self-contained three-qubit quantum refrigerator, with a three-body interaction enabling cooling of the target qubit.
We show that such baths, locally connected to the three qubits, open up the opportunity to implement superior steady-state cooling.
- Score: 0.6990493129893112
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We study the self-contained three-qubit quantum refrigerator, with a
three-body interaction enabling cooling of the target qubit, in presence of
baths composed of anharmonic quantum oscillators with Kerr-type nonlinearity.
We show that such baths, locally connected to the three qubits, opens up the
opportunity to implement superior steady-state cooling compared to using
harmonic oscillator baths, aiding in access to the free energy required for
empowering the refrigerator function autonomously. We find that in spite of
providing significant primacy in steady-state cooling, such anharmonic baths do
not impart much edge over using harmonic oscillator baths if one targets
transient cooling. However, we gain access to steady-state cooling in the
parameter region where only transient cooling could be achieved by using
harmonic baths. Subsequently, we also study the scaling of steady-state cooling
advantage and the minimum attainable temperature for varying levels of
anharmonicity present in the bath oscillators. Finally, we analyse heat
currents and coefficients of performance of quantum refrigerators using bath
modes involving Kerr-type nonlinearity, and present a comparison with the case
of using bosonic baths made of simple harmonic oscillators. On the way, we
derive the decay rates in the Gorini-Kossakowski-Sudarshan-Lindblad quantum
master equation for Kerr-type anharmonic oscillator baths.
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