Quantum Heat Engine Based on Working Substance of Two Particles Heisenberg XXX Model with the Dzyaloshinskii-Moriya Interaction

2019 ◽  
Vol 58 (5) ◽  
pp. 1651-1658 ◽  
Author(s):  
Hu-Ping Peng ◽  
Mao-Fa Fang ◽  
Cui-Yu Zhang
2020 ◽  
Vol 34 (21) ◽  
pp. 2050212
Author(s):  
Y. Khlifi ◽  
A. El Allati ◽  
Ahmed Salah ◽  
Y. Hassouni

A quantum heat engine (QHE) model by considering as working substance two spins (spin-1, spin-[Formula: see text]) is proposed. It consists of using different Heisenberg models with the Dzyaloshinskii-Moriya (DM) interaction in the presence of magnetic field [Formula: see text]. The proposed model contains four stroke two isochoric and two others adiabatic. A comparison of different models such that [Formula: see text], [Formula: see text] and [Formula: see text] is examined for various thermodynamics quantities, especially the efficiency [Formula: see text] and work [Formula: see text]. Finally, discussion and interpretation all results are given in the last section.


Author(s):  
Nizar Ahami ◽  
Morad El Baz

We consider a one-dimensional, mixed spin Heisenberg XXX model with an homogeneous external magnetic field and Dzyaloshinskii–Moriya interaction. Alternating spin-[Formula: see text] and spin-1 particles are forming the chain. The effect of the different parameters of the system on the bipartite thermal entanglement is studied. The type of chain used (mixed) and the size of the chain ([Formula: see text]) allow to study three types of bipartite entanglement, the qubit–qubit, qubit–qutrit and qutrit–qutrit thermal entanglement.


2005 ◽  
Vol 72 (4) ◽  
Author(s):  
Alan E. Hill ◽  
Yuri V. Rostovtsev ◽  
Marlan O. Scully

2015 ◽  
Vol 64 (4) ◽  
pp. 409-414
Author(s):  
You-Yang Xu ◽  
Juan Liu ◽  
Shun-Cai Zhao

2019 ◽  
Vol 9 (1) ◽  
Author(s):  
Pritam Chattopadhyay ◽  
Goutam Paul

AbstractEstablished heat engines in quantum regime can be modeled with various quantum systems as working substances. For example, in the non-relativistic case, we can model the heat engine using infinite potential well as a working substance to evaluate the efficiency and work done of the engine. Here, we propose quantum heat engine with a relativistic particle confined in the one-dimensional potential well as working substance. The cycle comprises of two isothermal processes and two potential well processes of equal width, which forms the quantum counterpart of the known isochoric process in classical nature. For a concrete interpretation about the relation between the quantum observables with the physically measurable parameters (like the efficiency and work done), we develop a link between the thermodynamic variables and the uncertainty relation. We have used this model to explore the work extraction and the efficiency of the heat engine for a relativistic case from the standpoint of uncertainty relation, where the incompatible observables are the position and the momentum operators. We are able to determine the bounds (the upper and the lower bounds) of the efficiency of the heat engine through the thermal uncertainty relation.


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