Quantum tricritical point emerging in the spin-boson model with two dissipative spins in staggered biases

2020/01/31 by Yanzhi Wang, Yan-Zhi Wang, Shu He +3
Computer Science · Physics and Astronomy · #Boson #Condensed matter physics #Dissipative system #Matrix product state #Observable #Phase (matter) #Phase diagram #Physics #Quantum #Quantum Information and Cryptography #Quantum and electron transport phenomena #Quantum critical point #Quantum entanglement #Quantum fluctuation #Quantum many-body systems #Quantum mechanics #Quantum phase transition #Spin (aerodynamics) #Spins #Tricritical point #cond-mat.stat-mech

paper · pdf · doi:10.1103/physrevb.103.205106

published as Phys. Rev. B 103, 205106 (2021) · 8 pages, 9 figures. arXiv admin note: text overlap with arXiv:2001.02166

arxiv created 2021/05/04 · openalex publication_date 2021/05/04 · arxiv updated 2021/05/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We study the spin-boson model (SBM) with two spins in staggered biases by a numerically exact method based on variational matrix product states. Several observables such as the magnetization, the entanglement entropy between the two spins and the bosonic environment, the ground-state energy, as well as the correlation function for two spins are calculated exactly. The characteristics of these observables suggest that the staggered biases can drive the second-order quantum phase transition (QPT) to the first-order QPT in the sub-Ohmic SBM, while the Kosterlitz-Thouless QPT in the Ohmic SBM goes directly to the first-order one. A quantum tricritical point, where the continuous QPT meets the first-order one, can then be detected. It is found that the staggered biases would not change the universality of the phase transition in this model below the quantum tricritical point.

Citations

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