Typical Relaxation of Isolated Many-Body Systems Which Do Not Thermalize

Balz BN, Reimann P (2017)
PHYSICAL REVIEW LETTERS 118(19): 190601.

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Abstract
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.
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Balz BN, Reimann P. Typical Relaxation of Isolated Many-Body Systems Which Do Not Thermalize. PHYSICAL REVIEW LETTERS. 2017;118(19): 190601.
Balz, B. N., & Reimann, P. (2017). Typical Relaxation of Isolated Many-Body Systems Which Do Not Thermalize. PHYSICAL REVIEW LETTERS, 118(19), 190601. doi:10.1103/PhysRevLett.118.190601
Balz, B. N., and Reimann, P. (2017). Typical Relaxation of Isolated Many-Body Systems Which Do Not Thermalize. PHYSICAL REVIEW LETTERS 118:190601.
Balz, B.N., & Reimann, P., 2017. Typical Relaxation of Isolated Many-Body Systems Which Do Not Thermalize. PHYSICAL REVIEW LETTERS, 118(19): 190601.
B.N. Balz and P. Reimann, “Typical Relaxation of Isolated Many-Body Systems Which Do Not Thermalize”, PHYSICAL REVIEW LETTERS, vol. 118, 2017, : 190601.
Balz, B.N., Reimann, P.: Typical Relaxation of Isolated Many-Body Systems Which Do Not Thermalize. PHYSICAL REVIEW LETTERS. 118, : 190601 (2017).
Balz, Ben Niklas, and Reimann, Peter. “Typical Relaxation of Isolated Many-Body Systems Which Do Not Thermalize”. PHYSICAL REVIEW LETTERS 118.19 (2017): 190601.
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