Equilibration Dynamics of Strongly Interacting Bosons in 2D Lattices with Disorder

Yan, Mi; Hui, Hoi-Yin; Rigol, Marcos; Scarola, V. W.

doi:10.1103/physrevlett.119.073002

Cited by 29 publications

(11 citation statements)

References 68 publications

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“…Interestingly enough, we observed that further increase of disorder makes the DW-type configurations tend to dynamically survive again. Recently, certain related experiment was performed on the ultra-cold atoms and similar result was obtained, i.e., the random chemical potential enhances life time of the high-energy configurations [44,50]. This may be an expected result, i.e., disorder enhances the localization.…”

Section: Discussionmentioning

confidence: 52%

Glassy dynamics from quark confinement: Atomic quantum simulation of the gauge-Higgs model on a lattice

2019

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In the previous works, we proposed atomic quantum simulations of the U(1) gauge-Higgs model by ultra-cold Bose gases. By studying extended Bose-Hubbard models (EBHMs) including long-range repulsions, we clarified the locations of the confinement, Coulomb and Higgs phases. In this paper, we study the EBHM with nearest-neighbor repulsions in one and two dimensions at large fillings by the Gutzwiller variational method. We obtain phase diagrams and investigate dynamical behavior of electric flux from the gauge-theoretical point of view. We also study if the system exhibits glassy quantum dynamics in the absence and presence of quenched disorder. We explain that the obtained results have a natural interpretation in the gauge theory framework. Our results suggest important perspective on many-body localization in strongly-correlated systems. They are also closely related to anomalously slow dynamics observed by recent experiments performed on Rydberg atom chain, and our study indicates existence of similar phenomenon in two-dimensional space.

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Section: Discussionmentioning

confidence: 52%

Glassy dynamics from quark confinement: Atomic quantum simulation of the gauge-Higgs model on a lattice

2019

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“…To study the real time evolution in the 2D system, we employ the time-dependent Gutzwiller method. This method is based on the mean-field approximation and is often used to explain the qualitative understanding of the experimental observations except for the 1D problems [27,[33][34][35]. Some studies have also used this method to study the quench dynamics relevant to the KZM [17,19,21,36].…”

Section: Time-dependent Gutzwiller Analysis Of Quench Dynamicsmentioning

confidence: 99%

Application of the inhomogeneous Kibble-Zurek mechanism to quench dynamics in the transition from a Mott-insulator to a superfluid in a finite system

Machida,

Kasamatsu

2020

Preprint

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We apply the theory of inhomogeneous Kibble-Zurek mechanism to understand quench dynamics from the Mott insulator to the superfluid in a cold Bose gases confined in both a two-dimensional optical lattice and a harmonic trap. The local quench time and the freeze-out region associated with the nonadiabatic transition take a nontrivial positional dependence due to the Mott-lobe structure of the ground state phase diagram of the Bose-Hubbard model. We demonstrate that the quench dynamics through the time-dependent Gutzwiller simulations, revealing inhomogeneous properties of the growth of the superfluid order parameter. The inhomogeneous Kibble-Zurek theory is applicable for the shallow harmonic trap.

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“…It has been very successful at calculating both the static and dynamic properties of bosons in optical lattices, including slow transport in the presence of disorder [22,23]. Though a mean field theory is unable to capture some of the features of MBL, such as the growth of entanglement entropy or the behavior of individual energy eigenstates, it has been used to model similar experiments to the one we are considering here [9,24]. Ultimately, the agreement between our results and the experiment [8] shows that we have included the relevant physics in our modeling.…”

Section: Introductionmentioning

confidence: 99%

Bath mediated decay of density waves in a disordered Bose lattice gas

Prabhu,

Mueller

2021

Preprint

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Motivated by a recent experiment, we study the dynamics of bosons in a disordered optical lattice, interacting with a variably sized bath of disorder free atoms. As the number of particles in the bath is increased, there is a transition between "localized" and "ergodic" behavior, which are characterized by the long-time behavior of an initial density wave. We model the dynamics with a stochastic mean field theory, reproducing the central observations of the experiment. A key conclusion from our study is that particle loss plays an important role.

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Equilibration Dynamics of Strongly Interacting Bosons in 2D Lattices with Disorder

Cited by 29 publications

References 68 publications

Glassy dynamics from quark confinement: Atomic quantum simulation of the gauge-Higgs model on a lattice

Glassy dynamics from quark confinement: Atomic quantum simulation of the gauge-Higgs model on a lattice

Application of the inhomogeneous Kibble-Zurek mechanism to quench dynamics in the transition from a Mott-insulator to a superfluid in a finite system

Bath mediated decay of density waves in a disordered Bose lattice gas

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