English

The Quantum Refrigerator: The quest for absolute zero

Quantum Physics 2009-11-13 v1

Abstract

The scaling of the optimal cooling power of a reciprocating quantum refrigerator is sought as a function of the cold bath temperature as Tc0T_c \to 0. The working medium consists of noninteracting particles in a harmonic potential. Two closed-form solutions of the refrigeration cycle are analyzed, and compared to a numerical optimization scheme, focusing on cooling toward zero temperature. The optimal cycle is characterized by linear relations between the heat extracted from the cold bath, the energy level spacing of the working medium and the temperature. The scaling of the optimal cooling rate is found to be proportional to Tc3/2T_c^{3/2} giving a dynamical interpretation to the third law of thermodynamics.

Keywords

Cite

@article{arxiv.0808.0229,
  title  = {The Quantum Refrigerator: The quest for absolute zero},
  author = {Yair Rezek and Peter Salamon and Karl Heinz Hoffmann and Ronnie Kosloff},
  journal= {arXiv preprint arXiv:0808.0229},
  year   = {2009}
}
R2 v1 2026-06-21T11:06:57.606Z