Chudnovskiy AL, Gangardt DM, Kamenev A. Doublon relaxation in the Bose-Hubbard model.
PHYSICAL REVIEW LETTERS 2012;
108:085302. [PMID:
22463539 DOI:
10.1103/physrevlett.108.085302]
[Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/03/2011] [Indexed: 05/31/2023]
Abstract
The decay of a high-energy double occupancy state, doublon, in a narrow-band lattice requires the creation of a coherent many-particle excitation. This leads to an exponentially long relaxation time of such a state. We show that, if the average occupation number is sufficiently small, the corresponding exponent may be evaluated exactly. To this end we develop the quasiclassical approach to calculation of the high-order tree-level decay amplitudes.
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