Quantum Critical Engine at Finite Temperatures: Many Body Quantum Otto Cycle

We describe the quantum Otto cycle (QOC) which consist of four strokes. The evolution being a unitary evolution is given by the von-Neumann equation of motion. Energies at the end of each stroke i is calculated using the equation. We characterize the engine performance using the quantities efficiency and power.


This content originally appeared on HackerNoon and was authored by Steam Engine

:::info Authors:

(1) Revathy B S, Raman Research Institute, Bengaluru, 560080, Karnataka, India and Corresponding author;

(2) Victor Mukherjee, Department of Physical Sciences, Indian Institute of Science Education and Research Berhampur, Berhampur, 760010, Odisha, India;

(3) Uma Divakaran, Department of Physics, Indian Institute of Technology Palakkad, Palakkad, 678623, Kerala, India.

:::

Abstract and 1 Introduction

2 Free fermionic model

3 Many body quantum Otto cycle

4 Universal scalings in work output

5 Transverse Ising model as working medium

6 Conclusion and References

3 Many body quantum Otto cycle

We now describe the quantum Otto cycle (QOC) which consist of four strokes (also shown in Fig.1):

\ Fig. 1 Schematic diagram of a quantum Otto cycle

\

\ (ii) Stroke B → C: The WM is disconnected from the hot bath and α is changed from α1 to α2 using the driving protocol,

\

\ The evolution being a unitary evolution is given by the von-Neumann equation of motion:

\

\ In this work, we shall focus on α2 = αc, the critical value, for the reasons that will be explained later.

\ (iii) Stroke C → D: The WM with α = α2 is next connected to the cold bath at a temperature TC till τC so that it reaches the thermal state at D given by

\

\ (iv) Stroke D → A: In this last stroke, the WM is disconnected from the cold bath, and α is changed back to α1 from α2 using

\

\ to reach A through unitary dynamics and thus the cycle repeats.

\ Energies at the end of each stroke i is calculated using the equation

\

\ We characterize the engine performance using the quantities efficiency and power which are computed as

\

\

:::info This paper is available on arxiv under CC BY 4.0 DEED license.

:::

\


This content originally appeared on HackerNoon and was authored by Steam Engine


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