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Relaxation to gaussian and generalized Gibbs states in systems of particles with quadratic hamiltonians

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abstract

We present an elementary, general, and semi-quantitative description of relaxation to gaussian and generalized Gibbs states in lattice models of fermions or bosons with quadratic hamiltonians. Our arguments apply to arbitrary initial states that satisfy a mild condition on clustering of correlations. We also show that similar arguments can be used to understand relaxation (or its absence) in systems with time-dependent quadratic hamiltonians, and provide a semi-quantitative description of relaxation in quadratic periodically driven (Floquet) systems.

years

2019 1

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CONDITIONAL 1

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Correlations and dynamics of tunnel-coupled one-dimensional Bose gases

cond-mat.quant-gas · 2019-08-01 · conditional · novelty 7.0

Measurements of fourth-order connected correlation functions reveal non-Gaussian relative-phase fluctuations in tunnel-coupled 1D Bose gases, consistent with sine-Gordon theory, and a first observation of Gaussification after decoupling.

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  • Correlations and dynamics of tunnel-coupled one-dimensional Bose gases cond-mat.quant-gas · 2019-08-01 · conditional · none · ref 22 · internal anchor

    Measurements of fourth-order connected correlation functions reveal non-Gaussian relative-phase fluctuations in tunnel-coupled 1D Bose gases, consistent with sine-Gordon theory, and a first observation of Gaussification after decoupling.