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  Nonequilibrium Dynamical Mean-Field Theory for Bosonic Lattice Models

Strand, H. U., Eckstein, M., & Werner, P. (2015). Nonequilibrium Dynamical Mean-Field Theory for Bosonic Lattice Models. Physical Review X, 5(1): 011038. doi:10.1103/PhysRevX.5.011038.

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http://dx.doi.org/10.1103/PhysRevX.5.011038 (Publisher version)
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http://arxiv.org/abs/1405.6941 (Preprint)
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 Creators:
Strand, Hugo U. R.1, Author
Eckstein, Martin2, 3, Author              
Werner, Philipp1, Author
Affiliations:
1Department of Physics, University of Fribourg, 1700 Fribourg, Switzerland, ou_persistent22              
2CFEL, 22761 Hamburg, Germany, ou_persistent22              
3Theory of Correlated Systems out of Equilibrium, Condensed Matter Dynamics Department, Max Planck Institute for the Structure and Dynamics of Matter, Max Planck Society, ou_1938296              

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Free keywords: Condensed Matter Physics; Nonlinear Dynamics; Quantum Physics
 Abstract: We develop the nonequilibrium extension of bosonic dynamical mean-field theory and a Nambu real-time strong-coupling perturbative impurity solver. In contrast to Gutzwiller mean-field theory and strong-coupling perturbative approaches, nonequilibrium bosonic dynamical mean-field theory captures not only dynamical transitions but also damping and thermalization effects at finite temperature. We apply the formalism to quenches in the Bose-Hubbard model, starting from both the normal and the Bose-condensed phases. Depending on the parameter regime, one observes qualitatively different dynamical properties, such as rapid thermalization, trapping in metastable superfluid or normal states, as well as long-lived or strongly damped amplitude oscillations. We summarize our results in nonequilibrium “phase diagrams” that map out the different dynamical regimes.
 Abstract: Bosonic multiparticle systems can Bose condense into a macroscopically occupied quantum state under certain conditions. This phenomenon, which is well understood in weakly interacting systems such as superfluid helium-4, can render quantum effects visible to the naked eye. When cold atoms are confined in an optical lattice, local repulsive interactions suppress the condensate, and the system can undergo a phase transition to a normal phase. The equilibrium properties of this transition are well understood because Monte Carlo simulations make it possible to study a large number of interacting bosons. However, our understanding of the out-of-equilibrium dynamics of these systems is very limited. The time evolution of such systems after perturbations is interesting because it can provide new information about correlation effects, phase-transition dynamics, and thermalization. We present a computationally tractable scheme that allows us to capture the effect of quantum fluctuations on the time evolution of both phases. We develop a “real-time dynamical mean-field formalism” for bosonic lattice systems and use it in quench calculations of the three-dimensional Bose-Hubbard model at finite temperatures, previously intractable from a computational standpoint. We compare the equilibrium phase boundaries of our approximation with exact results and find good agreement. Our formalism captures a rich variety of dynamical behaviors, such as fast thermalization, damped collapse-and-revival oscillations, and the trapping in metastable states. We summarize our results in two “phase diagrams” that map out the dynamical regimes for both a normal and a Bose-condensed initial state. Our simulation approach can be readily generalized and applied to inhomogeneous multicomponent Bose and Bose-Fermi models with more complex local interactions.

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Language(s): eng - English
 Dates: 2014-06-302014-05-272015-03-30
 Publication Status: Published online
 Pages: 18
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: DOI: 10.1103/PhysRevX.5.011038
arXiv: 1405.6941
 Degree: -

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Title: Physical Review X
  Abbreviation : Phys. Rev. X
Source Genre: Journal
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Publ. Info: American Physical Society
Pages: - Volume / Issue: 5 (1) Sequence Number: 011038 Start / End Page: - Identifier: Other: 2160-3308
CoNE: https://pure.mpg.de/cone/journals/resource/2160-3308