# Magnetically driven quantum heat engine.

@article{Muoz2014MagneticallyDQ, title={Magnetically driven quantum heat engine.}, author={Enrique Mu{\~n}oz and Francisco Jos{\'e} Pe{\~n}a}, journal={Physical review. E, Statistical, nonlinear, and soft matter physics}, year={2014}, volume={89 5}, pages={ 052107 } }

We studied the efficiency of two different schemes for a magnetically driven quantum heat engine, by considering as the "working substance" a single nonrelativistic particle trapped in a cylindrical potential well, in the presence of an external magnetic field. The first scheme is a cycle, composed of two adiabatic and two isoenergetic reversible trajectories in configuration space. The trajectories are driven by a quasistatic modulation of the external magnetic-field intensity. The second…

## 20 Citations

Magnetic Quantum Otto Engine for the Single-Particle Landau Problem

- Physics
- 2017

We study the effect of the degeneracy factor in the energy levels of the well-known Landau problem for a magnetic quantum Otto engine. The scheme of the cycle is composed of two quantum adiabatic…

Magnetic Otto Engine for an Electron in a Quantum Dot: Classical and Quantum Approach

- PhysicsEntropy
- 2019

In the classical approach, the engine yielded a greater performance in terms of total work extracted and efficiency than when compared with the quantum approach, because, in the classical case, the working substance can be in thermal equilibrium at each point of the cycle, which maximizes the energy extracted in the adiabatic strokes.

Magnetically-Driven Quantum Heat Engines: The Quasi-Static Limit of Their Efficiency

- PhysicsEntropy
- 2016

The general quantum thermodynamics formalism developed in order to analyze this type of QHEN is presented and applied to describe the theoretical efficiency of two different practical implementations of this concept: an array of semiconductor quantum dots and an ensemble of graphene flakes submitted to mechanical tension.

Quasistatic and quantum-adiabatic Otto engine for a two-dimensional material: The case of a graphene quantum dot.

- PhysicsPhysical review. E
- 2020

This work study the performance of a quasistatic and quantum-adiabatic magnetic Otto cycles with a working substance composed of a single graphene quantum dot modeled by the continuum approach with the use of the zigzag boundary condition to find that the engine yielded a greater performance in terms of total work extracted and efficiency as compared with its quantum-Aliabatic counterpart.

Magnetic Engine for the Single-Particle Landau Problem

- PhysicsEntropy
- 2017

The analytical expression of the relation between the magnetic field and temperature along the adiabatic process is derived and the expression for the efficiency as a function of the compression ratio is reproduced.

Quantum Mechanical Engine for the Quantum Rabi Model

- PhysicsEntropy
- 2018

It is found that it is possible to closely approach to maximal unit efficiency when the parameter is sufficiently increased in the first adiabatic stage, which constitutes an improvement over current proposals of this cycle.

Magneto-strain driven quantum engine on a graphene flake

- PhysicsNanoScience + Engineering
- 2016

A novel proof of principle prototype for a quantum heat engine is proposed, based on the quasi-static tuning of an external magnetic field, in combination with controlled mechanical strain applied to…

Quantum engines and the range of the second law of thermodynamics in the noncommutative phase-space

- Physics
- 2017

Abstract.Two testable schemes for quantum heat engines are investigated under the quantization framework of noncommutative (NC) quantum mechanics (QM). By identifying the phenomenological connection…

Quantum and classical Otto engine for a 2-D material: the case of a graphene quantum dot

- Physics
- 2019

In this work, we study the performance of classical and quantum magnetic Otto cycles with a working substance composed of a single graphene quantum dot modeled by the continuum approach with the use…

Novel magnetostrain-driven quantum engine

- Physics
- 2016

A quantum heat engine (QHEN) is a nanoscale device that enables the conversion of heat to useful work. In these open systems—analogs of classical engines—a ’working substance’ that has quantum…

## References

SHOWING 1-10 OF 22 REFERENCES

Thermodynamics and an Introduction to Thermostatistics

- Physics
- 1960

GENERAL PRINCIPLES OF CLASSICAL THERMODYNAMICS. The Problem and the Postulates. The Conditions of Equilibrium. Some Formal Relationships, and Sample Systems. Reversible Processes and the Maximum Work…

Mathematical Foundations of Quantum Mechanics

- Physics
- 1955

Mathematical Foundations of Quantum Mechanics was a revolutionary book that caused a sea change in theoretical physics. Here, John von Neumann, one of the leading mathematicians of the twentieth…

“A and B”:

- PhysicsSophonisba Breckinridge
- 2019

Direct fabrication of large micropatterned single crystals. p1205 21 Feb 2003. (news): Academy plucks best biophysicists from a sea of mediocrity. p994 14 Feb 2003.

Phys

- Rev. B 71, 165301
- 2005

Proc

- R. Soc. Lond. A 458, 1519
- 2002

Science 299

- 862
- 2003

Phys

- Rev. E 86, 061108
- 2012

Proc

- Natl. Acad. Sci. USA 108, 15097
- 2011

Phys

- Rev. Lett. 112, 030602
- 2014

and A

- Wójs, Quantum Dots
- 1998