Rich phase diagram of quantum phases in the anisotropic subohmic spin-boson model

Rich phase diagram of quantum phases in the anisotropic subohmic spin-boson model
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各向异性亚欧姆自旋玻色子模型中量子相的丰富相图

DOI:
10.1103/physrevb.101.155147
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发表时间:
2020-01
期刊:
影响因子:
3.7
通讯作者:
Chen Qing-Hu
Chen Qing-Hu
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Wang Yan-Zhi;He Shu;Duan Liwei;Chen Qing-Hu

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采用基于变分矩阵积态的数值精确方法研究了各向异性自旋玻色子模型(SBM)。通过计算几个观测量,在各向异性耦合强度平面内找到了丰富的相图。有三个不同的量子相:偶宇称离域相(相I)、奇宇称离域相(相II)和对称性破缺的局域相(相III),它们相交于量子三临界点。这些相之间的竞争将给出相图的全貌。对于小浴指数在$s 1/2$的区域:对于高度各向异性的情况下,系统将经历从相I到相II的一阶QPT,然后通过耦合强度的二阶QPT到相III。对于低各向异性情况,系统只经历了从相I到相III的连续QPT,其临界指数为非平均场。有趣的是,在中等的各向异性下,系统会多次出现连续的QPT,但临界指数相同。这种不寻常的重新进入同一局域相是在光-物质相互作用系统中首次发现的。因此,各向异性SBM将为研究富量子临界性开辟一条新的途径。
We study the anisotropic spin-boson model (SBM) by a numerically exact method based on variational matrix product states. Rich phase diagram is found in the anisotropy-coupling strength plane by calculating several observables. There are three distinct quantum phases: delocalized phase with even parity (phase I), delocalized phase with odd parity (phase II), and localized phase with broken $Z_2$ symmetry (phase III), which intersect at a quantum tricritical point. The competition between those phases will give overall picture of the phase diagram. For small bath exponent in the regime of $s 1/2$: For highly anisotropic case, the system will undergo the QPTs from phase I to II via 1st-order, and then to the phase III via 2nd-order with the coupling strength. For low anisotropic case, the system only experiences the continuous QPT from phase I to phase III with the non-mean-field critical exponents. Very interestingly, at the moderate anisotropy, the system would display the continuous QPTs for several times but with the same critical exponents. This unusual reentrance to the same localized phase is first discovered in the light-matter interacting systems. Thus, the anisotropic SBM would open an new avenue to study the rich quantum criticality.
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