新科学想法 › 文献管理 › 浏览文献

Nambu-Goldstone Effective Theory of Information at Quantum Criticality

zqyin 添加于 2016-4-18 17:28 | 1000 次阅读 | 0 个评论

作者
Dvali G, Franca A, Gomez C, Wintergerst N
摘要
We establish a fundamental connection between quantum criticality of a many-body system, such as Bose-Einstein condensates, and its capacity of information-storage and processing. For deriving the effective theory of modes in the vicinity of the quantum critical point we develop a new method by mapping a Bose-Einstein condensate of $N$-particles onto a sigma model with a continuous global (pseudo)symmetry that mixes bosons of different momenta. The Bogolyubov modes of the condensate are mapped onto the Goldstone modes of the sigma model, which become gapless at the critical point. These gapless Goldstone modes are the quantum carriers of information and entropy. Analyzing their effective theory, we observe the information-processing properties strikingly similar to the ones predicted by the black hole portrait. The energy cost per qubit of information-storage vanishes in the large-$N$ limit and the total information-storage capacity increases with $N$ either exponentially or as a power law. The longevity of information-storage also increases with $N$, whereas the scrambling time in the over-critical regime is controlled by the Lyapunov exponent and scales logarithmically with $N$. This connection reveals that the origin of black hole information storage lies in the quantum criticality of the graviton Bose-gas, and that much simpler systems that can be manufactured in table-top experiments can exhibit very similar information-processing dynamics.
详细资料
- 关键词: hep-th; cond-mat.quant-gas; gr-qc
- 文献种类:期刊
- 期刊缩写: Phys. Rev. D
- 期卷页: 2015年第92卷 125002页
- 日期: 2015-7-10
- 发布方式: arXiv e-prints
- 备注:arXiv:1507.02948v1; 25 pages, 6 figures; Journal Ref: Phys. Rev. D 92, 125002 (2015)
相关链接 DOI URL
zqyin 的文献笔记订阅