2017/12/26 by X. L. Huang, D. Y. Guo, S. L. Wu +1
Engineering · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Boson #Fermion #Function (biology) #Heat Transfer and Optimization #Heat engine #Identical particles #Particle (ecology) #Quantum #Thermoelastic and Magnetoelastic Phenomena #Wave function #Work (physics) #cond-mat.stat-mech #quant-ph
paper · pdf · doi:10.1007/s11128-017-1795-4
published as Quantum Inf Process (2018) 17:27
openalex publication_date 2017/12/26 · openalex created_date 2018/01/05 · arxiv created 2018/02/23 · arxiv updated 2018/02/27 · openalex updated_date 2026/08/05
A quantum Otto heat engine is studied with multilevel identical particles trapped in one-dimensional box potential as working substance. The symmetrical wave function for Bosons and the anti-symmetrical wave function for Fermions are considered. In two-particle case, we focus on the ratios of Wi (i=B,F) to Ws, where WB and WF are the work done by two Bosons and Fermions respectively, and Ws is the work output of a single particle under the same conditions. Due to the symmetric of the wave functions, the ratios are not equal to 2. Three different regimes, low temperature regime, high temperature regime, and intermediate temperature regime, are analyzed, and the effects of energy level number and the differences between the two baths are calculated. In the multiparticle case, we calculate the ratios of WiM/M to Ws, where WiM/M can be seen as the average work done by a single particle in multiparticle heat engine. For other working substances whose energy spectrum have the form of En∼ n2, the results are similar. For the case En∼ n, two different conclusions are obtained.