Universal time evolution of a Rydberg lattice gas with perfect blockade

  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},
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
8 Citations

Figures and Tables from this paper

Quantum simulation of transverse Ising models with Rydberg atoms
Finite-range interacting spin models are the simplest models to study the effect of beyond nearest-neighbour interactions and access new effects caused by the range of the interactions. RecentExpand
Strongly interacting low-dimensional Rydberg lattice gases in and out of equilibrium
Recent achievements in ultra-cold experiments have made quantum simulation of interacting many-body systems possible in a well controllable environment. Of many candidates as quantum simulators,Expand
Equilibration of quantum hard rods in one dimension
We study the out-of-equilibrium evolution of a strongly interacting quantum spin chain which is mapped on a system of hard rods that are coherently deposited on and removed from a lattice. We showExpand
Systematic Construction of Scarred Many-Body Dynamics in 1D Lattice Models.
We introduce a family of nonintegrable 1D lattice models that feature robust periodic revivals under a global quench from certain initial product states, thus generalizing the phenomenon of many-bodyExpand
Emergent SU(2) Dynamics and Perfect Quantum Many-Body Scars.
A weak quasilocal deformation of the Rydberg-blockaded Hamiltonian is constructed, which makes the revivals virtually perfect and suggests the existence of an underlying nonintegrable Hamiltonian which supports an emergent SU(2)-spin dynamics within a small subspace of the many-body Hilbert space. Expand
Quantum scarred eigenstates in a Rydberg atom chain: Entanglement, breakdown of thermalization, and stability to perturbations
Recent realization of a kinetically constrained chain of Rydberg atoms by Bernien et al., [Nature (London) 551, 579 (2017)] resulted in the observation of unusual revivals in the many-body quantumExpand
Quantum scars as embeddings of weakly broken Lie algebra representations
Recently, much effort has focused on understanding weak ergodicity breaking in many-body quantum systems that could lead to wavefunction revivals in their dynamics far from equilibrium. An example ofExpand
Order by disorder in frustration-free systems: Quantum Monte Carlo study of a two-dimensional PXP model
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


Collective Rydberg excitations of an atomic gas confined in a ring lattice
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 groundExpand
Thermalization of a strongly interacting 1D Rydberg lattice gas
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 stateExpand
Many-body spin interactions and the ground state of a dense Rydberg lattice gas.
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 wellExpand
Entropic enhancement of spatial correlations in a laser-driven Rydberg gas
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 aExpand
Fermionic collective excitations in a lattice gas of Rydberg atoms.
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.
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.
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
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 toExpand
Two-stage melting in systems of strongly interacting Rydberg atoms.
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
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 rangeExpand