Multilevel quantum Otto heat engines with identical particles

Abstract

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 $W^i$ ($i=B,F$) to $W_s$, where $W^B$ and $W^F$ are the work done by two Bosons and Fermions respectively, and $W_s$ 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 $W_M^i/M$ to $W_s$, where $W_M^i/M$ 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 $E_n\sim n^2$, the results are similar. For the case $E_n\sim n$, two different conclusions are obtained.

References in corpus (32)

• Quantum Thermodynamic Cycles and quantum heat engines
• A single-atom heat engine
• A nano heat engine beyond the Carnot limit
• Single ion heat engine with maximum efficiency at maximum power
• The second law, Maxwell's daemon and work derivable from quantum heat engines
• Quantum Optomechanical Heat Engine
• Quantum Thermodynamic Cycles and Quantum Heat Engines (II)
• Entropy production and thermodynamic power of the squeezed thermal reservoir
• Quantum Heat Engine With Multi-Level Quantum Systems
• A Coupled Quantum Otto Cycle
• Quantum correlated heat engine with nonlinear spin-spin interactions
• Non-hermitian quantum thermodynamics
• Isolated quantum heat engine
• Optimal performance of a quantum Otto refrigerator
• Quantum heat engine in the relativistic limit: The case of a Dirac particle
• Quantum Otto heat engine based on a multiferroic chain working substance
• Quantum Otto engine with a spin $1/2$ coupled to an arbitrary spin
• Quantum Brayton cycle with coupled systems as working substance
• Superadiabatic quantum heat engine with a multiferroic working medium
• Lipkin-Meshkov-Glick Model in a Quantum Otto Cycle
• Friction due to inhomogeneous driving of coupled spins in a quantum heat engine
• Otto engine beyond its standard quantum limit
• Entangled quantum Otto heat engines based on two-spin systems with the Dzyaloshinski-Moriya interaction
• Irreversible Work and Internal Friction in a Quantum Otto Cycle of a Single Arbitrary Spin
• Quantum Otto cycle efficiency on coupled qudits
• Investigations on finite ideal quantum gases
• Optimization of a relativistic quantum mechanical engine
• Coefficient of performance under maximum $\chi$ criterion in a two-level atomic system as a refrigerator
• Non-Hermitian heat engine with all-quantum-adiabatic-process cycle
• Efficiency bounds for nonequilibrium heat engines
• Two coupled, driven Ising spin systems working as an Engine
• Thermodynamic cycle in a cavity optomechanical system

Cited by in corpus (7)

• Bosons Outperform Fermions -- The Thermodynamic Advantage of Symmetry
• Measurement-based quantum heat engine in a multilevel system
• Quantum Heat Engines with Singular Interactions
• Quantum thermochemical engines
• Thermodynamics of Statistical Anyons
• Quantum evolution of mixed states and performance of quantum heat engines
• Quantum Otto engines at relativistic energies