Entanglement, Quantum Phase Transitions, and Density Matrix Renormalization
Entanglement, Quantum Phase Transitions, and Density Matrix Renormalization
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DOI：
10.1023/a:1019601218492
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发表时间：
2001-09
影响因子：
2.5
通讯作者：
T. Osborne;M. Nielsen
中科院分区：
文献类型：
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作者：
T. Osborne;M. Nielsen
我们研究了纠缠在量子相变中的作用，并表明密度矩阵重整化群（DMRG）在理解这种相变方面的成功是由于它在重整化下保持纠缠的方式。我们提供了一种量子信息科学的语言和工具，这使我们能够重新推导DMRG在物理上透明的方式。受我们重新解释的启发，我们建议对DMRG进行修改，这显然考虑了量子系统中的纠缠。在某些特殊情况下，这种改进的重整化方案比传统的数值重整化方法在量子系统中保留了更多的纠缠。一
We investigate the role of entanglement in quantum phase transitions, and show that the success of the density matrix renormalization group (DMRG) in understanding such phase transitions is due to the way it preserves entanglement under renormalization. We provide areinterpretationof the DMRG in terms of the language and tools of quantum information science which allows us to rederive the DMRG in a physically transparent way. Motivated by our reinterpretation we suggest a modification of the DMRG which manifestly takes account of the entanglement in a quantum system. This modified renormalization scheme is shown, in certain special cases, to preserve more entanglement in a quantum system than traditional numerical renormalization methods.PACS:03.65.Ud, 73.43.Nq, 05.10.-a