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Dynamics of the sub-Ohmic spin-boson model : a comparison of three numerical approaches

หน่วยงาน Nanyang Technological University, Singapore

รายละเอียด

ชื่อเรื่อง : Dynamics of the sub-Ohmic spin-boson model : a comparison of three numerical approaches
นักวิจัย : Yao, Yao , Duan, Liwei , Lü, Zhiguo , Wu, Chang-Qin , Zhao, Yang
คำค้น : DRNTU::Engineering::Materials.
หน่วยงาน : Nanyang Technological University, Singapore
ผู้ร่วมงาน : -
ปีพิมพ์ : 2556
อ้างอิง : Yao, Y., Duan, L., Lü, Z., Wu, C.-Q., & Zhao, Y. (2013). Dynamics of the sub-Ohmic spin-boson model : a comparison of three numerical approaches. Physical review E, 88(2), 023303-. , http://hdl.handle.net/10220/18667 , http://dx.doi.org/10.1103/PhysRevE.88.023303
ที่มา : -
ความเชี่ยวชาญ : -
ความสัมพันธ์ : Physical review E
ขอบเขตของเนื้อหา : -
บทคัดย่อ/คำอธิบาย :

Dynamics of the sub-Ohmic spin-boson model is examined using three numerical approaches, namely the Dirac-Frenkel time-dependent variation with the Davydov D1 ansatz, the adaptive time-dependent density matrix renormalization group method within the representation of orthogonal polynomials, and a perturbative approach based on a unitary transformation. In order to probe the validity regimes of the three approaches, we study the dynamics of a qubit coupled to a bosonic bath with and without a local field. Comparison of the up-state population evolution shows that the three approaches are in agreement in the weak-coupling regime but exhibit marked differences when the coupling strength is large. The Davydov D1 ansatz and the time-dependent density matrix renormalization group can both be reliably employed in the weak-coupling regime, while the former is also valid in the strong-coupling regime as judged by how faithfully the trial state follows the Schrodinger ¨ equation. We further explore the bipartite entanglement dynamics between two qubits coupled with individual bosonic baths which reveals entanglement sudden death and revival.

บรรณานุกรม :
Yao, Yao , Duan, Liwei , Lü, Zhiguo , Wu, Chang-Qin , Zhao, Yang . (2556). Dynamics of the sub-Ohmic spin-boson model : a comparison of three numerical approaches.
    กรุงเทพมหานคร : Nanyang Technological University, Singapore.
Yao, Yao , Duan, Liwei , Lü, Zhiguo , Wu, Chang-Qin , Zhao, Yang . 2556. "Dynamics of the sub-Ohmic spin-boson model : a comparison of three numerical approaches".
    กรุงเทพมหานคร : Nanyang Technological University, Singapore.
Yao, Yao , Duan, Liwei , Lü, Zhiguo , Wu, Chang-Qin , Zhao, Yang . "Dynamics of the sub-Ohmic spin-boson model : a comparison of three numerical approaches."
    กรุงเทพมหานคร : Nanyang Technological University, Singapore, 2556. Print.
Yao, Yao , Duan, Liwei , Lü, Zhiguo , Wu, Chang-Qin , Zhao, Yang . Dynamics of the sub-Ohmic spin-boson model : a comparison of three numerical approaches. กรุงเทพมหานคร : Nanyang Technological University, Singapore; 2556.