Typical Relaxation of Isolated Many-Body Systems Which Do Not Thermalize
We consider isolated many-body quantum systems which do not thermalize; i.e., expectation values approach an (approximately) steady longtime limit which disagrees with the microcanonical prediction of equilibrium statistical mechanics. A general analytical theory is worked out for the typical tempor...
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Veröffentlicht in: | Physical review letters 2017-05, Vol.118 (19), p.190601-190601, Article 190601 |
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creator | Balz, Ben N Reimann, Peter |
description | We consider isolated many-body quantum systems which do not thermalize; i.e., expectation values approach an (approximately) steady longtime limit which disagrees with the microcanonical prediction of equilibrium statistical mechanics. A general analytical theory is worked out for the typical temporal relaxation behavior in such cases. The main prerequisites are initial conditions which appreciably populate many energy levels and do not give rise to significant spatial inhomogeneities on macroscopic scales. The theory explains very well the experimental and numerical findings in a trapped-ion quantum simulator exhibiting many-body localization, in ultracold atomic gases, and in integrable hard-core boson and XXZ models. |
doi_str_mv | 10.1103/PhysRevLett.118.190601 |
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A general analytical theory is worked out for the typical temporal relaxation behavior in such cases. The main prerequisites are initial conditions which appreciably populate many energy levels and do not give rise to significant spatial inhomogeneities on macroscopic scales. 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A general analytical theory is worked out for the typical temporal relaxation behavior in such cases. The main prerequisites are initial conditions which appreciably populate many energy levels and do not give rise to significant spatial inhomogeneities on macroscopic scales. The theory explains very well the experimental and numerical findings in a trapped-ion quantum simulator exhibiting many-body localization, in ultracold atomic gases, and in integrable hard-core boson and XXZ models.</abstract><cop>United States</cop><pmid>28548528</pmid><doi>10.1103/PhysRevLett.118.190601</doi><tpages>1</tpages></addata></record> |
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title | Typical Relaxation of Isolated Many-Body Systems Which Do Not Thermalize |
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