• Corpus ID: 245124033

Hypergrid subgraphs and the origin of scarred quantum walks in the many-body Hilbert space

@inproceedings{Desaules2021HypergridSA,
  title={Hypergrid subgraphs and the origin of scarred quantum walks in the many-body Hilbert space},
  author={Jean-Yves Desaules and Kieran Bull and Aiden Daniel and Zlatko Papi'c},
  year={2021}
}
Following the recent observation of wave function revivals in large Rydberg atom quantum simulators, much effort has focused on understanding the emergence of many-body scars in non-integrable quantum systems. Here we explore the origin of scarred wavefunction revivals in a family of models obtained by deforming the graph adjacency matrix of the PXP model – the effective model of Rydberg atoms in the strong Rydberg blockade regime. We consider deformations that either enhance the Rydberg… 
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References

SHOWING 1-10 OF 64 REFERENCES
Quantum many-body scars in a Landau level on a thin torus
We study a kinetically constrained pair hopping model that arises within a Landau level in the quantum Hall effect. At filling $\nu = 1/3$, the model exactly maps onto the so-called ``PXP model", a
Quantum Many-Body Scars and Hilbert Space Fragmentation: A Review of Exact Results
The discovery of Quantum Many-Body Scars (QMBS) both in Rydberg atom simulators and in the Affleck-Kennedy-Lieb-Tasaki (AKLT) spin-1 chain model, have shown that a weak violation of ergodicity can
Extreme many-body scarring in a quantum spin chain via weak dynamical constraints
It has recently been established that quantum many-body scarring can prevent the thermalisation of some isolated quantum systems, starting from certain initial states. One of the first models to show
Weak ergodicity breaking from quantum many-body scars
The thermodynamic description of many-particle systems rests on the assumption of ergodicity, the ability of a system to explore all allowed configurations in the phase space. Recent studies on
Emergent SU(2) Dynamics and Perfect Quantum Many-Body Scars.
TLDR
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.
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 of
Periodic Orbits, Entanglement, and Quantum Many-Body Scars in Constrained Models: Matrix Product State Approach.
TLDR
A manifold of locally entangled spin states is introduced, representable by low-bond dimension matrix product states, and it is found that they feature isolated, unstable periodic orbits, which capture the recurrences and represent nonergodic dynamical trajectories.
Exact Quantum Many-Body Scar States in the Rydberg-Blockaded Atom Chain.
TLDR
It is shown that the nearby many-body scar states can be well approximated as "quasiparticle excitations" on top of the exact E=0 scar states and proposed a quasiparticles explanation of the strong oscillations observed in experiments.
Weak Ergodicity Breaking and Quantum Many-Body Scars in Spin-1 XY Magnets.
We study the spin-1 XY model on a hypercubic lattice in d dimensions and show that this well-known nonintegrable model hosts an extensive set of anomalous finite-energy-density eigenstates with
Quantum many-body scars and weak breaking of ergodicity
Recent discovery of persistent revivals in quantum simulators based on Rydberg atoms have pointed to the existence of a new type of dynamical behavior that challenged the conventional paradigms of
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