首页 | 本学科首页   官方微博 | 高级检索  
     检索      


Review: Characterizing and quantifying quantum chaos with quantum tomography
Authors:VAIBHAV MADHOK  CARLOS A RIOFRÍO  IVAN H DEUTSCH
Institution:1.Department of Zoology,University of British Columbia,Vancouver,Canada;2.Dahlem Center for Complex Quantum Systems,Freie Universit?t Berlin,Berlin,Germany;3.Department of Physics and Astronomy,Room 24, University of New Mexico,Albuquerque,Mexico
Abstract:We explore quantum signatures of classical chaos by studying the rate of information gain in quantum tomography. The tomographic record consists of a time series of expectation values of a Hermitian operator evolving under the application of the Floquet operator of a quantum map that possesses (or lacks) time-reversal symmetry. We find that the rate of information gain, and hence the fidelity of quantum state reconstruction, depends on the symmetry class of the quantum map involved. Moreover, we find an increase in information gain and hence higher reconstruction fidelities when the Floquet maps employed increase in chaoticity. We make predictions for the information gain and show that these results are well described by random matrix theory in the fully chaotic regime. We derive analytical expressions for bounds on information gain using random matrix theory for different classes of maps and show that these bounds are realized by fully chaotic quantum systems.
Keywords:
本文献已被 SpringerLink 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号