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Doublon Relaxation in the Bose-Hubbard Model

2011/04/27 by A. L. Chudnovskiy, D. M. Gangardt, Alex Kamenev +1 · 27 citations
Physics and Astronomy · #Amplitude #Boson #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Excitation #Exponent #Lattice (music) #Physics #Physics of Superconductivity and Magnetism #Quantum mechanics #Quantum, superfluid, helium dynamics #Relaxation (psychology) #Statistical physics #cond-mat.quant-gas #hep-th

paper · pdf · doi:10.1103/physrevlett.108.085302

published in Physical Review Letters 108(8), 085302 (American Physical Society) · 4 pages, 1 figure

arxiv created 2011/04/27 · openalex publication_date 2012/02/24 · arxiv updated 2015/05/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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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