گذار فاز دینامیکی در مدل اسپینی n-خوشه‌ای

نوع مقاله: مقاله پژوهشی کامل

نویسندگان

1 گروه علوم مهندسی و فیزیک، مرکز آموزش عالی فنی و مهندسی بوئین‌زهرا، بوئین‌زهرا، ایران

2 دانشکده فیزیک، دانشگاه تحصیلات تکمیلی علوم پایه زنجان، زنجان، ایران

چکیده

در این مقاله رفتار دینامیکی زنجیره اسپینی با برهمکنش خوشه‌ای، که تحت تأثیر میدان مغناطیسی عرضی است، را در اثر تغییر ناگهانی میدان مغناطیسی مورد بررسی قرار می‎دهیم. این سیستم با استفاده از تبدیلات جردن-ویگنر دارای حل دقیق است. در این مقاله نشان می‌دهیم که اگر تفییرات میدان مغناطیسی به گونه ای باشد که مقدار اولیه و نهایی آن در دو فاز تعادلی مختلف باشند، تابع نرخ حتمال بازگشت در دوره های زمانی متناوب واگرا می شود که این واگرایی در زمان، گذار فاز دینامیکی نامیده می‌شود. در صورتی که تغییر میدان در فاز یکسان انجام شود، گذار فاز دینامیکی رخ نمی‌دهد. همچنین بررسی خطوط صفرهای فیشر نشان می دهد که در صورت بروز گذار فاز دینامیکی خطوط صفرهای فیشر محور موهومی را قطع خواهند کرد.

کلیدواژه‌ها

موضوعات


عنوان مقاله [English]

Dynamical phase transition in n-cluster spin model

نویسندگان [English]

  • Saeid Ansari 1
  • Rouhollah Jafari 2
1 Buein Zahra Technical University (BZTE)
2 Department of Physics, Institute for Advanced Studies in Basic Sciences (IASBS), Zanjan 45137-66731, Iran
چکیده [English]

In this paper we consider a spin chain with cluster interaction which is under the transverse magnetic field and study its dynamical behavior as the magnetic field changes suddenly. Such a system, has exact solution by means of Jordan-Wigner transformations. We show that if the magnetic field changes in such a way that its initial and finial value be in two different equilibrium phase, then rate function of return probability diverges periodically in time which, this divergence in time, is called dynamical phase transition. If the quench has been done within the same phase, dynamical phase transition doesn’t happen. Furthermore, we have shown that Fisher zeros lines cross the imaginary axes when the dynamical phase transition occurs.

کلیدواژه‌ها [English]

  • Phase transition
  • N-cluster model
  • quantum dynamics
 

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