Journal of Interfaces, Thin Films, and Low dimensional systems

Dynamics of the entanglement in a two- spin system with long- range interaction

Document Type : Original Article

Authors

1 Department of Physics,Yadegar-e-Imam Khomeini (RAH) Shahre Rey Branch, Islamic Azad University, Tehran, Iran

2 Department of Physics, University of Guilan, 41335-1914, Rasht, Iran

3 Department of Physics and Engineering Sciences, Imam Khomeini International University, Buein Zahra Higher Education Centre of Engineering and Technology, Iran

Abstract

Introduction: In this study, we investigate the dynamics of the Entanglement in a two-spin system with long-range interaction.
Method: For this purpose, we use negativity as the entanglement measurement. Using the time evolution operator, we obtain entanglement dynamics of the system at time t. We consider two different initial states and investigate the dynamical behavior of the system for all of them separately. Finally, we consider both J and D as a function of R and then study the time evolution of the entanglement in different R.
Results: We find that in the long-range interaction, the R dependence of the dynamical behavior in the two systems is different. Depending on the initial states, the DM interaction and the magnetic field have no effect on the entanglement dynamics.

Keywords

Article Title [Persian]

دینامیک درهم تنیدگی در یک سیستم دو اسپینی با برهمکنش بلند برد

Authors [Persian]

  • محمد رضا سلطانی 1
  • سعید مهدوی فر 2
  • مریم محمودی 2
  • آرزو جهانشیر 3

1 گروه فیزیک، دانشگاه آزاد اسلامی یادگار امام شهرری، تهران، ایران

2 گروه فیزیک، دانشگاه گیلان، رشت، ایران

3 گروه فیزیک و دانش های مهندسی، دانشگاه بین المللی امام خمینی، مرکز آموزش عالی و فنی مهندسی بوئین زهرا، ایران

Abstract [Persian]

مقدمه: در این تحقیق، دینامیک درهم­تنیدگی یک سیستم دو اسپینی با برهمکنش بلندبرد مورد بررسی قرار می­گیرد.
روش: برای این منظور، ما از نگاتیویته بعنوان معیاری برای اندازه گیری درهم تنیدگی استفاده می­کنیم. با استفاده از عملگر تحول زمانی، دینامیک درهم تنیدگی سیستم در زمان t بدست می­آید. دو حالت اولیه مختلف برای سیستم در نظر گرفته می­شود و رفتار دینامیکی سیستم برای هر کدام بطورجداگانه مورد مطالعه قرار می­گیرد. در نهایت، پارامترهای J و D نیز بصورت تابعی از R در نظر گرفته و تحول زمانی در هم تنیدگی در R های مختلف بررسی می­شود.
نتایج: ما دریافتیم که در برهمکنش بلند برد، وابستگی رفتار دینامیکی سیستم به R، در سیستم ها با حالت های اولیه مختلف، متفاوت است. اما در هر دو حالت، برهمکنش DM و میدان مغناطیسی تاثیری بر دینامیک درهم تنیدگی ندارند.

Keywords [Persian]

  • دینامیک درهمتنیدگی
  • بلندبرد
  • منفی‌شدگی
  • برهمکنش ژیالوشینسکی – موریا
  • میدان مغناطیسی
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Journal of Interfaces, Thin Films, and Low dimensional systems
Volume 4, Issue 1
November 2020
Pages 323-329