Çok Parçalı Spin Zincirinde Dolaşıklığın Sınırlarına Dipol-dipol Etkisi: Monte Carlo Simülasyonu

Abstract

İzotropik ferromanyetik spin-1/2 zincirinde dolaşıklığın tartışıldığı bu çalışmada 2-kubit dolaşıklığının analitik çözümü yapılarak dipol-dipol etkileşmesine (D) odaklanılmıştır. Harici manyetik alan (Bz), özellikle düşük sıcaklıklarda, dolaşıklığın oluşumunu ve sönümlenmesini kontrol edebilmektedir. Kuantum Monte Carlo simülasyon metodu ile dolaşıklığın alt ve üst sınırları hesaplanarak dipolar etkileşme (D) de harici alanla (Bz) beraber dolaşıklığın oluşması ve yok olması sürecinde karar verici parametreler oldukları sonucuna varılmaktadır. Kritik sıcaklıkta ve yüksek manyetik alan altında monoton olmayan davranış ile karşılaşılmıştır. Ayrıca, uzak spinler arasındaki dolaşıklığın baskın dipolar etki ile kararlı hale geldiği ve düşük sıcaklıklarda 20 komşu spin ile hala dolaşık halde kalsada yüksek sıcaklıkarda uzak komşu dolaşıklığının eriminin azaldığı anlaşılmaktadır. Tek komşu spinler arasında “rival” bölgeler gözlenmektedir.

Keywords

• Dipol-dipol etkileşmesi
• localize dolaşıklık
• concurrence
• loop algoritması
• Monte Carlo metodu

Dipole-Dipole Effect to Limits of Entanglement in Multipartite Spin Chain: A Monte Carlo Study

Abstract

The entanglement of the ferromagnetically ordered isotropic spin-1/2 chain is discussed. The analytically deriving concurrence of a two-qubit state allows focusing on the effect of dipolar interaction (D). Low fields enable tuning creation/extinction of entangled states, particularly at low temperatures. There is a joint effect of the applied field and dipolar interaction which can’t be disregarded. We perform Quantum Monte Carlo simulations on quantifying localizable entanglement (LE) in terms of upper/lower bounds. Findings reveal that D and B_z are decisive parameters on the production of entanglement including creation and extinction. A non-monotonic behavior has occurred under high fields at the critical temperature. However, strong D provides the stability of LE values concerning distance herewith conserving the unity at low temperatures under zero field. Rival regions are observed for the distant nearest neighbors, particularly odd ones.

Keywords

• Dipole-dipole interaction
• localizable entanglement
• concurrence
• loop algorithm
• Monte Carlo method

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