Physics – Quantum Physics
Scientific paper
2008-08-04
Physics
Quantum Physics
Scientific paper
10.1209/0295-5075/85/30008
The scaling of the optimal cooling power of a reciprocating quantum refrigerator is sought as a function of the cold bath temperature as $T_c \to 0$. 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 $T_c^{3/2}$ giving a dynamical interpretation to the third law of thermodynamics.
Hoffmann Karl Heinz
Kosloff Ronnie
Rezek Yair
Salamon Peter
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