# Universal time evolution of a Rydberg lattice gas with perfect blockade

@article{Olmos2012UniversalTE, title={Universal time evolution of a Rydberg lattice gas with perfect blockade}, author={Beatriz Olmos and Rosario Gonz'alez-F'erez and Igor Lesanovsky and Luis Vel'azquez}, journal={Journal of Physics A}, year={2012}, volume={45}, pages={325301} }

We investigate the dynamics of a strongly interacting spin system that is motivated by current experimental realizations of strongly interacting Rydberg gases in lattices. In particular, we are interested in the temporal evolution of quantities such as the density of Rydberg atoms and density–density correlations when the system is initialized in a fully polarized state without Rydberg excitations. We show that in the thermodynamic limit the expectation values of these observables converge at… Expand

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Mingxi Yue, ∗ Zijian Wang, 2, ∗ Bhaskar Mukherjee, 3 and Zi Cai 4, 5, † Wilczek Quantum Center, School of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai 200240, China Zhiyuan College,… Expand

#### References

SHOWING 1-10 OF 64 REFERENCES

Collective Rydberg excitations of an atomic gas confined in a ring lattice

- Physics
- 2009

We study the excitation dynamics of Rydberg atoms in a one-dimensional lattice with periodic boundary conditions where the atomic Rydberg states are resonantly excited from the electronic ground… Expand

Thermalization of a strongly interacting 1D Rydberg lattice gas

- Physics
- 2009

When Rydberg states are excited in a dense atomic gas the mean number of excited atoms reaches a stationary value after an initial transient period. We shed light on the origin of this steady state… Expand

Many-body spin interactions and the ground state of a dense Rydberg lattice gas.

- Physics, Medicine
- Physical review letters
- 2011

We study a one-dimensional atomic lattice gas in which Rydberg atoms are excited by a laser and whose external dynamics is frozen. We identify a parameter regime in which the Hamiltonian is well… Expand

Entropic enhancement of spatial correlations in a laser-driven Rydberg gas

- Physics
- 2012

In a laser-driven Rydberg gas the strong interaction between atoms excited to Rydberg states results in the formation of collective excitations. Atoms within a so-called blockade volume share a… Expand

Fermionic collective excitations in a lattice gas of Rydberg atoms.

- Physics, Medicine
- Physical review letters
- 2009

It is demonstrated that this system permits us to study fermions in the presence of disorder although no external atomic motion takes place, and a route towards the creation of complex many-particle states with atoms in lattices is shown. Expand

Quantum critical behavior in strongly interacting Rydberg gases.

- Physics, Medicine
- Physical review letters
- 2008

The critical theory for the quantum phase transition is derived and it is found that the suppression of Rydberg excitations known as blockade phenomena exhibits an algebraic scaling law with a universal exponent. Expand

Thermalization of a strongly interacting closed spin system: from coherent many-body dynamics to a Fokker-Planck equation.

- Physics, Medicine
- Physical review letters
- 2012

The results show that transitions within narrow energy shells lead to a dynamics which is dominated by entropy and establishes detailed balance conditions that determine both the eventual equilibrium state and the nonequilibrium relaxation to it. Expand

Dynamical crystal creation with polar molecules or Rydberg atoms in optical lattices Dynamical cryst

- Physics
- 2010

We investigate the dynamical formation of crystalline states with systems of polar molecules or Rydberg atoms loaded into a deep optical lattice. External fields in these systems can be used to… Expand

Two-stage melting in systems of strongly interacting Rydberg atoms.

- Physics, Medicine
- Physical review letters
- 2010

P perturbation theory and a mapping onto an effective low-energy Hamiltonian are used to find a transition of commensurate solid structures of Rydberg excitations into a floating solid with algebraic correlations. Expand

Numerical study of two-body correlation in a 1D lattice with perfect blockade

- Physics, Mathematics
- 2008

We compute the dynamics of excitation and two-body correlation for two-level 'pseudoatoms' in a one-dimensional (1D) lattice. We adopt a simplified model where pair excitation within a finite range… Expand