Simulating Finite-Time Isothermal Processes with Superconducting Quantum Circuits

Finite-time isothermal processes are ubiquitous in quantum-heat-engine cycles, yet complicated due to the coexistence of the changing Hamiltonian and the interaction with the thermal bath. Such complexity prevents classical thermodynamic measurements of a performed work. In this paper, the isotherma...

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Main Authors: Jin-Fu Chen, Ying Li, Hui Dong
Format: Article
Language:English
Published: MDPI AG 2021-03-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/23/3/353
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author Jin-Fu Chen
Ying Li
Hui Dong
author_facet Jin-Fu Chen
Ying Li
Hui Dong
author_sort Jin-Fu Chen
collection DOAJ
description Finite-time isothermal processes are ubiquitous in quantum-heat-engine cycles, yet complicated due to the coexistence of the changing Hamiltonian and the interaction with the thermal bath. Such complexity prevents classical thermodynamic measurements of a performed work. In this paper, the isothermal process is decomposed into piecewise adiabatic and isochoric processes to measure the performed work as the internal energy change in adiabatic processes. The piecewise control scheme allows the direct simulation of the whole process on a universal quantum computer, which provides a new experimental platform to study quantum thermodynamics. We implement the simulation on ibmqx2 to show the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>1</mn><mo>/</mo><mi>τ</mi></mrow></semantics></math></inline-formula> scaling of the extra work in finite-time isothermal processes.
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spelling doaj.art-9997450f59744c14a99209a9ee7727582023-11-21T10:43:19ZengMDPI AGEntropy1099-43002021-03-0123335310.3390/e23030353Simulating Finite-Time Isothermal Processes with Superconducting Quantum CircuitsJin-Fu Chen0Ying Li1Hui Dong2Beijing Computational Science Research Center, Beijing 100193, ChinaGraduate School of China Academy of Engineering Physics, No. 10 Xibeiwang East Road, Haidian District, Beijing 100193, ChinaGraduate School of China Academy of Engineering Physics, No. 10 Xibeiwang East Road, Haidian District, Beijing 100193, ChinaFinite-time isothermal processes are ubiquitous in quantum-heat-engine cycles, yet complicated due to the coexistence of the changing Hamiltonian and the interaction with the thermal bath. Such complexity prevents classical thermodynamic measurements of a performed work. In this paper, the isothermal process is decomposed into piecewise adiabatic and isochoric processes to measure the performed work as the internal energy change in adiabatic processes. The piecewise control scheme allows the direct simulation of the whole process on a universal quantum computer, which provides a new experimental platform to study quantum thermodynamics. We implement the simulation on ibmqx2 to show the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>1</mn><mo>/</mo><mi>τ</mi></mrow></semantics></math></inline-formula> scaling of the extra work in finite-time isothermal processes.https://www.mdpi.com/1099-4300/23/3/353quantum thermodynamicsquantum circuitopen quantum systemisothermal processIBM quantum computer
spellingShingle Jin-Fu Chen
Ying Li
Hui Dong
Simulating Finite-Time Isothermal Processes with Superconducting Quantum Circuits
Entropy
quantum thermodynamics
quantum circuit
open quantum system
isothermal process
IBM quantum computer
title Simulating Finite-Time Isothermal Processes with Superconducting Quantum Circuits
title_full Simulating Finite-Time Isothermal Processes with Superconducting Quantum Circuits
title_fullStr Simulating Finite-Time Isothermal Processes with Superconducting Quantum Circuits
title_full_unstemmed Simulating Finite-Time Isothermal Processes with Superconducting Quantum Circuits
title_short Simulating Finite-Time Isothermal Processes with Superconducting Quantum Circuits
title_sort simulating finite time isothermal processes with superconducting quantum circuits
topic quantum thermodynamics
quantum circuit
open quantum system
isothermal process
IBM quantum computer
url https://www.mdpi.com/1099-4300/23/3/353
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AT yingli simulatingfinitetimeisothermalprocesseswithsuperconductingquantumcircuits
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