Equilibration times in closed quantum many-body systems

作者: Henrik Wilming , Thiago R. de Oliveira , Anthony J. Short , Jens Eisert

DOI: 10.1007/978-3-319-99046-0_18

关键词:

摘要: For a quantum system to be captured by stationary statistical ensemble, as is common in thermodynamics and mechanics, it necessary that reaches some apparently state the first place. In this book chapter, we discuss problem of equilibration specifically provide insights into how long takes reach equilibrium closed systems. We briefly connection with recent experiments forthcoming simulators. Then comprehensive discussion from heuristic point view, focus on providing an intuitive understanding connecting general properties interacting many-body Finally, concise review rigorous results times are known literature.

参考文章(71)
Anatoli Polkovnikov, Krishnendu Sengupta, Alessandro Silva, Mukund Vengalattore, Colloquium: Nonequilibrium dynamics of closed interacting quantum systems Reviews of Modern Physics. ,vol. 83, pp. 863- 883 ,(2011) , 10.1103/REVMODPHYS.83.863
Hal Tasaki, Sheldon Goldstein, Takashi Hara, The approach to equilibrium in a macroscopic quantum system for a typical nonequilibrium subspace arXiv: Statistical Mechanics. ,(2014)
J. Smith, A. Lee, P. Richerme, B. Neyenhuis, P. W. Hess, P. Hauke, M. Heyl, D. A. Huse, C. Monroe, Many-body localization in a quantum simulator with programmable random disorder Nature Physics. ,vol. 12, pp. 907- 911 ,(2016) , 10.1038/NPHYS3783
Luca Guidoni, Eric Beaurepaire, Jean-Yves Bigot, Magneto-optics in the ultrafast regime: thermalization of spin populations in ferromagnetic films. Physical Review Letters. ,vol. 89, pp. 017401- ,(2002) , 10.1103/PHYSREVLETT.89.017401
Marcos Rigol, Vanja Dunjko, Vladimir Yurovsky, Maxim Olshanii, Relaxation in a completely integrable many-body quantum system: an ab initio study of the dynamics of the highly excited states of 1D lattice hard-core bosons. Physical Review Letters. ,vol. 98, pp. 050405- 050405 ,(2007) , 10.1103/PHYSREVLETT.98.050405
Florian Goth, Fakher F. Assaad, Time and spatially resolved quench of the fermionic Hubbard model showing restricted equilibration Physical Review B. ,vol. 85, pp. 085129- ,(2012) , 10.1103/PHYSREVB.85.085129
Pablo R. Zangara, Axel D. Dente, E. J. Torres-Herrera, Horacio M. Pastawski, Aníbal Iucci, Lea F. Santos, Time fluctuations in isolated quantum systems of interacting particles. Physical Review E. ,vol. 88, pp. 032913- ,(2013) , 10.1103/PHYSREVE.88.032913
M. Gring, M. Kuhnert, T. Langen, T. Kitagawa, B. Rauer, M. Schreitl, I. Mazets, D. A. Smith, E. Demler, J. Schmiedmayer, Relaxation and Prethermalization in an Isolated Quantum System Science. ,vol. 337, pp. 1318- 1322 ,(2012) , 10.1126/SCIENCE.1224953
M. Cramer, A. Flesch, I. P. McCulloch, U. Schollwöck, J. Eisert, Exploring local quantum many-body relaxation by atoms in optical superlattices. Physical Review Letters. ,vol. 101, pp. 063001- ,(2008) , 10.1103/PHYSREVLETT.101.063001