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SUMMARY:Interesting Dynamics interplay with Symmetry\, Topology and Entrop
 y - Prof. Hui Zhai\, Institute for Advanced Study\, Tsinghua University
DTSTART:20170503T100000Z
DTEND:20170503T110000Z
UID:TALK72501@talks.cam.ac.uk
CONTACT:Nigel Cooper
DESCRIPTION:In this talk I will discuss several examples of interesting un
 iversal dynamics with quantum simulation. In the first example\, I will di
 scuss an expansion dynamics of scale invariant quantum gases in a time-dep
 endent harmonic trap\, that displays a discrete temporal scaling symmetry\
 , and we term it as "the Efimovian expansion". This dynamics reveals the s
 caling symmetry and the emergent conformal symmetry of strongly interactin
 g quantum system. In the second example\, I will discuss quench dynamics f
 rom a topological trivial Chern insulator to a topological nontrivial one\
 , and we show how to extract a quantized value from the quench dynamics\, 
 that exactly equals to the topological Chern number of the final Hamiltoni
 an after the quench. In the third example\, I will prove a theorem that re
 lates the entropy growth after a quench to the out-of-time-ordered correla
 tion that recently discussed in the content of quantum chaos and holograph
 ic duality. This three examples reveal the interplay between quantum dynam
 ics with symmetry\, topology and entropy\, respectively.\n\n\n[1] Shujin D
 eng\, Zhe-Yu Shi\, Pengpeng Diao\, Qianli Yu\, Hui Zhai\, Ran Qi and Haibi
 n Wu\, Science\, 353\, 371 (2016)\n\n[2] Ce Wang\, Pengfei Zhang\, Xin Che
 n\, Jinlong Yu and Hui Zhai\, arXiv: 1611.03304\, Phys. Rev. Lett. to appe
 ar.\n\n[3] Ruihua Fan\, Pengfei Zhang\, Huitao Shen and Hui Zhai\, arXiv: 
 1608.01914\, Science Bulletin\, to appear\n\n[4] Jun Li\, Ruihua Fan\, Hen
 gyan Wang\, Bingtian Ye\, Bei Zeng\, Hui Zhai\, Xinhua Peng\, Jiangfeng Du
 \, arXiv: 1609.01246
LOCATION:Ryle Seminar Room (Rutherford Building\, Cavendish Laboratory)
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