The study of quantum speed limit time in a quantum critical environment

Quantum theory sets a bound on the speed of quantum evolution. The shortest time needed for a quantm system to evolve from an initial state to the target state is known as the quantum speed limit time. The study of this time in open and closed quantum systems has been the subject of much work in qua...

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Main Author: S Haseli
Format: Article
Language:English
Published: Isfahan University of Technology 2022-02-01
Series:Iranian Journal of Physics Research
Subjects:
Online Access:http://ijpr.iut.ac.ir/article_1754_eb06a77e0d2cdb88ae0fea6f2182a0ae.pdf
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author S Haseli
author_facet S Haseli
author_sort S Haseli
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description Quantum theory sets a bound on the speed of quantum evolution. The shortest time needed for a quantm system to evolve from an initial state to the target state is known as the quantum speed limit time. The study of this time in open and closed quantum systems has been the subject of much work in quantum information theory. Quantum speed limit time is inversely related to the evolution rate of a quantum process. This relation is such that the speed of evolution decreases with increasing quantum speed limit time and vice versa. In this work we study the QSL time for the case in which a qubit interacts with a quantum critical environment. We choose the environment to be an Ising spin chain in a transverse field. It is observed that for the quantum speed limit time has a direct relation with quantum coherence of the initial state of the system. We will also study the effect of perturbation coupling on quantum speed limit time. It is observed that the quantum speed limit time decreases with increasing the coupling parameter. It is also observed that the quantum speed limit time decreases with increasing the number of spin in spin chain.
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spelling doaj.art-6d5c30229a874de0ab18094b2ce8e21c2022-12-22T03:38:20ZengIsfahan University of TechnologyIranian Journal of Physics Research1682-69572345-36642022-02-0121483383910.47176/ijpr.21.4.211801754The study of quantum speed limit time in a quantum critical environmentS Haseli0Department of Physics, Faculty of Environment, Urmia University of Technology, Urmia, IranQuantum theory sets a bound on the speed of quantum evolution. The shortest time needed for a quantm system to evolve from an initial state to the target state is known as the quantum speed limit time. The study of this time in open and closed quantum systems has been the subject of much work in quantum information theory. Quantum speed limit time is inversely related to the evolution rate of a quantum process. This relation is such that the speed of evolution decreases with increasing quantum speed limit time and vice versa. In this work we study the QSL time for the case in which a qubit interacts with a quantum critical environment. We choose the environment to be an Ising spin chain in a transverse field. It is observed that for the quantum speed limit time has a direct relation with quantum coherence of the initial state of the system. We will also study the effect of perturbation coupling on quantum speed limit time. It is observed that the quantum speed limit time decreases with increasing the coupling parameter. It is also observed that the quantum speed limit time decreases with increasing the number of spin in spin chain.http://ijpr.iut.ac.ir/article_1754_eb06a77e0d2cdb88ae0fea6f2182a0ae.pdfquantum speed limitopen quantum systemquantum critical environment
spellingShingle S Haseli
The study of quantum speed limit time in a quantum critical environment
Iranian Journal of Physics Research
quantum speed limit
open quantum system
quantum critical environment
title The study of quantum speed limit time in a quantum critical environment
title_full The study of quantum speed limit time in a quantum critical environment
title_fullStr The study of quantum speed limit time in a quantum critical environment
title_full_unstemmed The study of quantum speed limit time in a quantum critical environment
title_short The study of quantum speed limit time in a quantum critical environment
title_sort study of quantum speed limit time in a quantum critical environment
topic quantum speed limit
open quantum system
quantum critical environment
url http://ijpr.iut.ac.ir/article_1754_eb06a77e0d2cdb88ae0fea6f2182a0ae.pdf
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