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Dissipation-Induced Order: TheS=1/2Quantum Spin Chain Coupled to an Ohmic Bath
Physical Review Letters ( IF 8.1 ) Pub Date : 2022-07-29 , DOI: 10.1103/physrevlett.129.056402
Manuel Weber 1 , David J Luitz 1, 2 , Fakher F Assaad 3, 4
Affiliation  

We consider an S=1/2 antiferromagnetic quantum Heisenberg chain where each site is coupled to an independent bosonic bath with ohmic dissipation. The coupling to the bath preserves the global SO(3) spin symmetry. Using large-scale, approximation-free quantum Monte Carlo simulations, we show that any finite coupling to the bath suffices to stabilize long-range antiferromagnetic order. This is in stark contrast to the isolated Heisenberg chain where spontaneous breaking of the SO(3) symmetry is forbidden by the Mermin-Wagner theorem. A linear spin-wave theory analysis confirms that the memory of the bath and the concomitant retarded interaction stabilize the order. For the Heisenberg chain, the ohmic bath is a marginal perturbation so that exponentially large system sizes are required to observe long-range order at small couplings. Below this length scale, our numerics is dominated by a crossover regime where spin correlations show different power-law behaviors in space and time. We discuss the experimental relevance of this crossover phenomena.

中文翻译:

耗散诱导顺序:TheS=1/2 量子自旋链耦合到欧姆浴

我们考虑一个小号=1/2反铁磁量子海森堡链,其中每个位点耦合到具有欧姆耗散的独立玻色子浴。与浴缸的耦合保留了全局 SO(3) 自旋对称性。使用大规模、无近似的量子蒙特卡罗模拟,我们表明与浴槽的任何有限耦合都足以稳定远程反铁磁顺序。这与孤立的 Heisenberg 链形成鲜明对比,其中 Mermin-Wagner 定理禁止自发破坏 SO(3) 对称性。线性自旋波理论分析证实浴的记忆和伴随的延迟相互作用稳定了顺序。对于海森堡链,欧姆浴是一种边际扰动,因此需要指数级大的系统尺寸来观察小耦合处的长程有序。在这个长度尺度之下,我们的数字由交叉机制主导,其中自旋相关性在空间和时间上显示出不同的幂律行为。我们讨论了这种交叉现象的实验相关性。
更新日期:2022-07-29
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