Entangled quantum heat engines based on two two-spin systems with Dzyaloshinski-Moriya anisotropic antisymmetric interaction

The European Physical Journal D (Impact Factor: 1.23). 08/2008; 49(1):123-128. DOI: 10.1140/epjd/e2008-00133-0
Source: arXiv


We construct an entangled quantum heat engine (EQHE) based on two two-spin systems with Dzyaloshinski-Moriya (DM) anisotropic
antisymmetric interaction. By applying the explanations of heat transferred and work performed at the quantum level in Kieu’s
work [Phys. Rev. Lett. 93, 140403 (2004)], the basic thermodynamic quantities, i.e., heat transferred, net work done in a cycle and efficiency of EQHE
are investigated in terms of DM interaction and concurrence. The validity of the second law of thermodynamics is confirmed
in the entangled system. It is found that there is a same efficiency for both antiferromagnetic and ferromagnetic cases, and
the efficiency can be controlled in two manners: (1) only by spin-spin interaction J and DM interaction D; (2) only by the temperature T and concurrence C. In order to obtain a positive net work, we need not entangle all qubits in two two-spin systems and we
only require the entanglement between qubits in a two-spin system not be zero. As the ratio of entanglement between qubits
in two two-spin systems increases, the efficiency will approach infinitely the classical Carnot one. An interesting phenomenon
is an abrupt transition of the efficiency when the entanglements between qubits in two two-spin systems are equal.

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