Squeezing Quantum Many-Body Scars

• URL: http://arxiv.org/abs/2112.07754v1
• Date: Tue, 14 Dec 2021 21:46:23 GMT
• Title: Squeezing Quantum Many-Body Scars
• Authors: Bennet Windt and Hannes Pichler
• Abstract summary: We show that the scarred dynamics in the PXP model on a complete bipartite graph can be interpreted as a one-dimensional chiral scattering problem. Our findings provide a physical motivation for Hamiltonian deformations reminiscent of those known to produce perfect scars.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We develop an analytical approach for the description of quantum many-body scars in PXP models. We show that the scarred dynamics in the PXP model on a complete bipartite graph can be interpreted as a one-dimensional chiral scattering problem, and solve this problem analytically. The insights from this analysis allow us to predict that dynamical signatures of scars in PXP models can be enhanced by spin squeezing the initial states. We show numerically that this stabilization mechanism applies not only to the complete bipartite graph but also to one- and two-dimensional lattices, which are relevant for Rydberg atom array experiments. Moreover, our findings provide a physical motivation for Hamiltonian deformations reminiscent of those known to produce perfect scars.

Related papers

• Stability of quantum many-body scars on PXP model [49.1574468325115]
  We numerically compute the fidelity and average correlations to monitor the state evolution and to identify revivals. Results indicate that, on the one hand, the entanglement entropy of PXP scars exhibit great sensitivity. Other scar signatures, such as the revivals of states having large overlap with scars, show remarkable robustness.
  arXiv  Detail & Related papers  (2024-07-19T22:39:15Z)
• Quantum Many-body Scar Models in One Dimensional Spin Chains [2.20193376451625]
  We propose a general method for constructing scar models by combining simple modules. We numerically verify the thermalization and non-integrability of this model and demonstrate the dynamical properties of the scar states. Due to the continuous tunability of the parameters, our model also enables us to investigate the transitions of QMBS from non-integrable to integrable system.
  arXiv  Detail & Related papers  (2024-03-08T03:30:14Z)
• Variational manifolds for ground states and scarred dynamics of blockade-constrained spin models on two and three dimensional lattices [0.0]
  We introduce a variational manifold of simple tensor network states for the study of a family of constrained models that describe spin-1/2 systems. Our method can be interpreted as a generalization of mean-field theory to constrained spin models.
  arXiv  Detail & Related papers  (2023-11-15T13:52:21Z)
• Higher-order topological Peierls insulator in a two-dimensional atom-cavity system [58.720142291102135]
  We show how photon-mediated interactions give rise to a plaquette-ordered bond pattern in the atomic ground state. The pattern opens a non-trivial topological gap in 2D, resulting in a higher-order topological phase hosting corner states. Our work shows how atomic quantum simulators can be harnessed to investigate novel strongly-correlated topological phenomena.
  arXiv  Detail & Related papers  (2023-05-05T10:25:14Z)
• Capturing dynamical correlations using implicit neural representations [85.66456606776552]
  We develop an artificial intelligence framework which combines a neural network trained to mimic simulated data from a model Hamiltonian with automatic differentiation to recover unknown parameters from experimental data. In doing so, we illustrate the ability to build and train a differentiable model only once, which then can be applied in real-time to multi-dimensional scattering data.
  arXiv  Detail & Related papers  (2023-04-08T07:55:36Z)
• Universality of critical dynamics with finite entanglement [68.8204255655161]
  We study how low-energy dynamics of quantum systems near criticality are modified by finite entanglement. Our result establishes the precise role played by entanglement in time-dependent critical phenomena.
  arXiv  Detail & Related papers  (2023-01-23T19:23:54Z)
• Prominent quantum many-body scars in a truncated Schwinger model [0.0]
  We show that quantum many-body scars exist in a truncated version of the Schwinger model. Our conclusions can be readily tested in current cold-atom setups.
  arXiv  Detail & Related papers  (2022-04-04T18:00:01Z)
• Hypergrid subgraphs and the origin of scarred quantum walks in the many-body Hilbert space [0.0]
  We explore the origin of scarred wavefunction revivals in a family of models obtained by deforming the graph adjacency matrix of the PXP model. We argue that the model of two joined hypercubes captures the essential features of many-body scarring present in the PXP model. Our results shed light on the nature of scarring in the PXP model by identifying its simple parent model, while also highlighting its distinction from the free-spin precession.
  arXiv  Detail & Related papers  (2021-12-13T18:41:25Z)
• Extensive multipartite entanglement from su(2) quantum many-body scars [0.0]
  We numerically study signatures of multipartite entanglement in the PXP model of Rydberg atoms. Our results identify a rich multipartite correlation structure of scarred states with significant potential as a resource in quantum enhanced metrology.
  arXiv  Detail & Related papers  (2021-09-20T17:56:04Z)
• Observation-dependent suppression and enhancement of two-photon coincidences by tailored losses [68.8204255655161]
  Hong-Ou-Mandel (HOM) effect can lead to a perfect suppression of two-particle coincidences between the output ports of a balanced beam splitter. In this work, we demonstrate experimentally that the two-particle coincidence statistics of two bosons can instead be seamlessly tuned to substantial enhancement. Our findings reveal a new approach to harnessing non-Hermitian settings for the manipulation of multi-particle quantum states.
  arXiv  Detail & Related papers  (2021-05-12T06:47:35Z)
• Exact many-body scars and their stability in constrained quantum chains [55.41644538483948]
  Quantum scars are non-thermal eigenstates characterized by low entanglement entropy. We study the response of these exact quantum scars to perturbations by analysing the scaling of the fidelity susceptibility with system size.
  arXiv  Detail & Related papers  (2020-11-16T19:05:50Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.