TY  - JOUR
A1  - Riera, Arnau
A1  - Gogolin, Christian
A1  - Eisert, Jens
T1  - Thermalization in nature and on a quantum computer
T2  - Physical review letters
N2  - In this work, we show how Gibbs or thermal states appear dynamically in closed quantum many-body systems, building on the program of dynamical typicality. We introduce a novel perturbation theorem for physically relevant weak system-bath couplings that is applicable even in the thermodynamic limit. We identify conditions under which thermalization happens and discuss the underlying physics. Based on these results, we also present a fully general quantum algorithm for preparing Gibbs states on a quantum computer with a certified runtime and error bound. This complements quantum Metropolis algorithms, which are expected to be efficient but have no known runtime estimates and only work for local Hamiltonians.
Y1  - 2012
UR  - https://publishup.uni-potsdam.de/frontdoor/index/index/docId/36119
SN  - 0031-9007
VL  - 108
IS  - 8
PB  - American Physical Society
CY  - College Park
ER  -