scholarly journals Algebraic structure and squeezed state solutions of the XYZ antiferromagnetic Heisenberg model in an external magnetic field

2006 ◽  
Vol 55 (8) ◽  
pp. 3880
Author(s):  
Jin Shuo ◽  
Xie Bing-Hao
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Algebraic Structure ◽  
Heisenberg Model ◽  
Squeezed State ◽  
Antiferromagnetic Heisenberg Model

THE QUANTUM REFRIGERATOR IN A TWO-QUBIT XXZ HEISENBERG MODEL

2013 ◽  
Vol 27 (13) ◽  
pp. 1350055 ◽  
Author(s):  
ERHAN ALBAYRAK
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Heisenberg Model ◽  
Exchange Parameter ◽  
Thermodynamic Quantities ◽  
Two Dimensional ◽  
Different Temperatures ◽  
Constant External Magnetic Field ◽  
Xxz Heisenberg Model ◽  
Exchange Parameters

The four-level entangled quantum refrigerator (QR) is studied in the XXZ Heisenberg model for the two-qubits. The Hamiltonian of the problem includes the exchange parameters Jx = Jy = J and Jz = αJ along the x-, y- and z-directions, respectively, and constant external magnetic field B in the z-direction. The parameter α is introduced into the model which controls the strength of the exchange parameter Jz in comparison to Jx and Jy, thus, our investigation of QR includes the XX (α = 0.0), XXX (α = 1.0) and XXZ (for other α's) Heisenberg models. The two-qubits are assumed to be in contact with two heat reservoirs at different temperatures. The concurrences for a two-qubit are used as a measure of entanglement and then the expressions for the amount of heat transferred, the work performed and the efficiency are derived. The contour, i.e., the isoline maps, and some two-dimensional plots of the above mentioned thermodynamic quantities are illustrated.

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