# Expansion of Bose-Hubbard Mott insulators in optical lattices

@article{Jreissaty2011ExpansionOB, title={Expansion of Bose-Hubbard Mott insulators in optical lattices}, author={Mark Jreissaty and Juan Felipe Carrasquilla and F. Alexander Wolf and Marcos Rigol}, journal={Physical Review A}, year={2011}, volume={84} }

We study the expansion of bosonic Mott insulators in the presence of an optical lattice after switching off a confining potential. We use the Gutzwiller mean-field approximation and consider two different setups. In the first one, the expansion is restricted to one direction. We show that this leads to the emergence of two condensates with well-defined momenta, and argue that such a construct can be used to create atom lasers in optical lattices. In the second setup, we study Mott insulators…

## 18 Citations

Expansion of one-dimensional lattice hard-core bosons at finite temperature

- Physics
- 2017

We develop an exact approach to study the quench dynamics of hard-core bosons initially in thermal equilibrium in one-dimensional lattices. This approach is used to study the sudden expansion of…

Expansion dynamics in two-dimensional Bose-Hubbard lattices: BEC and thermal cloud.

- Physics
- 2020

We study the temporal expansion of an ultracold Bose gas in two-dimensional, square optical lattices. The gas is described by the Bose-Hubbard model deep in the superfluid regime, with initially all…

Expansion dynamics in two-dimensional Bose-Hubbard lattices: Bose-Einstein condensate and thermal cloud

- Physics
- 2021

We study the temporal expansion of an ultracold Bose gas in two-dimensional, square optical lattices. The gas is described by the Bose-Hubbard model deep in the superfluid regime, with initially all…

Three-dimensional dynamics of a fermionic Mott wedding-cake in clean and disordered optical lattices

- PhysicsScientific reports
- 2013

This work considers a notable paradigm of strongly correlated Fermi systems, the Mott phase of the Hubbard model, in a setup resembling ultracold-gases experiments, and uses time-dependent density-functional theory combined with dynamical mean-field theory to study the three-dimensional expansion of a cloud into an optical lattice.

Nonequilibrium Mass Transport in the 1D Fermi-Hubbard Model.

- PhysicsPhysical review letters
- 2018

The sudden expansion of fermions in a homogeneous one-dimensional optical lattice is experimentally and numerically investigated, finding a reduced interaction dependence of the asymptotic expansion speed compared to bosons, which is explained by the interaction energy produced in the quench.

Dynamical Quasicondensation of Hard-Core Bosons at Finite Momenta.

- PhysicsPhysical review letters
- 2015

The quasicondensation of strongly interacting bosons at finite momenta in a far-from-equilibrium case is experimentally investigated and the emerging phase order differs from the ground-state order and is characterized by peaks at finite Momenta ±(π/2)(ℏ/d) in the momentum distribution function.

Dynamics of a quantum phase transition in the Bose-Hubbard model: Kibble-Zurek mechanism and beyond

- Physics
- 2018

In this paper, we study the dynamics of the Bose-Hubbard model by using time-dependent Gutzwiller methods. In particular, we vary the parameters in the Hamiltonian as a function of time, and…

Interacting bosons in two-dimensional lattices with localized dissipation

- PhysicsNew Journal of Physics
- 2019

Motivated by the recent experiments on engineering localized losses in quantum gases, we study the dynamics of interacting bosons in a two-dimensional optical lattice with local dissipation. Together…

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

- PhysicsPhysical review letters
- 2017

It is shown that Gutzwiller mean-field theory (GMFT) captures the main experimental observations, which are a result of the competition between disorder and interactions, and the difficulty in distinguishing glassy dynamics, which can be captured by GMFT, and many-body localization, which cannot be captured.

Dynamics of an itinerant spin-3 atomic dipolar gas in an optical lattice

- PhysicsPhysical Review A
- 2019

Arrays of ultra-cold dipolar gases loaded in optical lattices are emerging as powerful quantum simulators of the many-body physics associated with the rich interplay between long-range dipolar…

## References

SHOWING 1-10 OF 141 REFERENCES

Mott domains of bosons confined on optical lattices.

- PhysicsPhysical review letters
- 2002

In the absence of a confining potential, the boson-Hubbard model exhibits a superfluid to Mott insulator quantum phase transition at commensurate fillings and strong coupling, which has important implications for interpreting experiments on ultracold atoms on optical lattices.

FREE EXPANSION OF IMPENETRABLE BOSONS ON ONE-DIMENSIONAL OPTICAL LATTICES

- Physics
- 2005

We review recent exact results for the free expansion of impenetrable bosons on one-dimensional lattices, after switching off a confining potential. When the system is initially in a superfluid…

Finite-momentum Bose-Einstein condensates in shaken two-dimensional square optical lattices

- Physics
- 2011

We consider ultracold bosons in a two-dimensional square optical lattice described by the Bose-Hubbard model. In addition, an external time-dependent sinusoidal force is applied to the system, which…

Mott-insulator transition in a two-dimensional atomic Bose gas.

- PhysicsPhysical review letters
- 2007

The 2D Bose-Hubbard model is realized by loading a Bose/Einstein condensate into an optical lattice, and the resulting Mott insulator is studied to show a marked dependence on the lattice depth.

Coherent matter waves emerging from Mott-insulators

- Physics
- 2006

We study the formation of (quasi-) coherent matter waves emerging from a Mott insulator for strongly interacting bosons on a one-dimensional lattice. It has been shown previously that a…

Universal state diagrams for harmonically trapped bosons in optical lattices

- Physics
- 2008

We use quantum Monte Carlo simulations to obtain zero-temperature state diagrams for strongly correlated lattice bosons in one and two dimensions under the influence of a harmonic confining…

Creating exotic condensates via quantum-phase-revival dynamics in engineered lattice potentials

- Physics
- 2011

In the field of ultracold atoms in optical lattices a plethora of phenomena governed by the hopping energy J and the interaction energy U have been studied in recent years. However, the trapping…

Transition from a strongly interacting 1d superfluid to a Mott insulator.

- PhysicsPhysical review letters
- 2004

Signs for increased fluctuations characteristic for 1D trapped Bose gases are observed and the collective oscillations cease near the transition to the Mott insulator phase.

Strongly interacting atom lasers in three-dimensional optical lattices.

- PhysicsPhysical review letters
- 2010

We show that the dynamical melting of a Mott insulator in a three-dimensional lattice leads to condensation at nonzero momenta, a phenomenon that can be used to generate strongly interacting atom…

Rigorous mean-field dynamics of lattice bosons: Quenches from the Mott insulator

- Physics
- 2011

We provide a rigorous derivation of Gutzwiller mean-field dynamics for lattice bosons, showing that it is exact on fully connected lattices. We apply this formalism to quenches in the interaction…