Influence of disordered and anisotropic interactions on relaxation dynamics and propagation of correlations in tweezer arrays of Rydberg dipoles

• URL: http://arxiv.org/abs/2408.07643v1
• Date: Wed, 14 Aug 2024 16:13:59 GMT
• Title: Influence of disordered and anisotropic interactions on relaxation dynamics and propagation of correlations in tweezer arrays of Rydberg dipoles
• Authors: Kaustav Mukherjee, Grant W. Biedermann, Robert J. Lewis-Swan,
• Abstract summary: We investigate the out-of-equilibrium dynamics of irregular one- and two-dimensional arrays of Rydberg dipoles featuring spatially anisotropic interactions. We find a regime of slow relaxation characterized by a sub-ballistic propagation of correlations that remained confined to short distances even at long times. Our findings can be relevant for a wide variety of quantum science platforms naturally featuring disordered dipolar interactions.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We theoretically investigate the out-of-equilibrium dynamics of irregular one- and two-dimensional arrays of Rydberg dipoles featuring spatially anisotropic interactions. Starting from a collectively polarized initial state, we map out the dynamical phase diagram and identify a crossover between regimes of regular and anomalously slow relaxation of the initial collective order, that strongly depends on both the degree of interaction disorder and anisotropy. In addition, we find the regime of slow relaxation is characterized by a sub-ballistic propagation of correlations that remained confined to short distances even at long times. To explain our findings we develop an analytic model based on decoupled clusters of interacting dipoles that goes beyond prior theoretical works and enables us to identify multiple relaxation timescales. Our findings can be relevant for a wide variety of quantum science platforms naturally featuring disordered dipolar interactions, including polar molecules, frozen Rydberg gases and NV centers.

Related papers

• Slow decay rate of correlations induced by long-range extended Dzyaloshinskii-Moriya interactions [0.0]
  In the nearest-neighbor XY model with DM interaction, the transition from the gapless chiral phase to a gapped one occurs when the strengths of the DM interaction and anisotropy coincide. We show that the critical line gets modified with the range of interactions which decay according to power-law. We illustrate that in a non-equilibrium setting, the relaxation dynamics of classical correlation, the decay rate of total correlation, and the growth rate of entanglement entropy can be employed to uncover whether the evolving Hamiltonian and the Hamiltonian corresponding to the initial state are gapped or gapless.
  arXiv  Detail & Related papers  (2024-07-31T15:12:04Z)
• Dynamics of inhomogeneous spin ensembles with all-to-all interactions: breaking permutational invariance [49.1574468325115]
  We investigate the consequences of introducing non-uniform initial conditions in the dynamics of spin ensembles characterized by all-to-all interactions. We find that the dynamics of the spin ensemble now spans a more expansive effective Hilbert space.
  arXiv  Detail & Related papers  (2023-09-19T16:44:14Z)
• Phonon-assisted coherent transport of excitations in Rydberg-dressed atom arrays [0.0]
  Polarons arise from the self-trapping interaction between electrons and lattice distortions in a solid. We present a microscopic model that exhibits a diverse range of dynamic behavior, arising from the intricate interplay between excitation-phonon coupling terms. This work contributes to the understanding of polaron dynamics with their potential applications in coherent quantum transport.
  arXiv  Detail & Related papers  (2023-07-10T10:40:47Z)
• Momentum-selective pair creation of spin excitations in dipolar bilayers [0.0]
  We study the temporal growth and spatial propagation of quantum correlations in a two-dimensional bilayer realising a spin-1/2 quantum XXZ model with couplings mediated by long-range and anisotropic dipolar interactions. The predicted behavior remains observable at very low filling fractions, making it accessible in state-of-the-art experiments with Rydberg atoms, magnetic atoms, and polar molecule arrays.
  arXiv  Detail & Related papers  (2023-02-17T18:50:13Z)
• Statics and Dynamics of non-Hermitian Many-Body Localization [0.0]
  Many-body localized phases retain memory of their initial conditions in disordered interacting systems. We focus on the interacting Hatano-Nelson model which breaks unitarity via asymmetric hopping. Our findings suggest the possibility of an intermediate dynamical regime in disordered open systems.
  arXiv  Detail & Related papers  (2023-01-04T18:58:17Z)
• Slow semiclassical dynamics of a two-dimensional Hubbard model in disorder-free potentials [77.34726150561087]
  We show that introduction of harmonic and spin-dependent linear potentials sufficiently validates fTWA for longer times. In particular, we focus on a finite two-dimensional system and show that at intermediate linear potential strength, the addition of a harmonic potential and spin dependence of the tilt, results in subdiffusive dynamics.
  arXiv  Detail & Related papers  (2022-10-03T16:51:25Z)
• Probing dynamics of a two-dimensional dipolar spin ensemble using single qubit sensor [62.997667081978825]
  We experimentally investigate individual spin dynamics in a two-dimensional ensemble of electron spins on the surface of a diamond crystal. We show that this anomalously slow relaxation rate is due to the presence of strong dynamical disorder. Our work paves the way towards microscopic study and control of quantum thermalization in strongly interacting disordered spin ensembles.
  arXiv  Detail & Related papers  (2022-07-21T18:00:17Z)
• Quantum chaos and thermalization in the two-mode Dicke model [77.34726150561087]
  We discuss the onset of quantum chaos and thermalization in the two-mode Dicke model. The two-mode Dicke model exhibits normal to superradiant quantum phase transition. We show that the temporal fluctuations of the expectation value of the collective spin observable around its average are small and decrease with the effective system size.
  arXiv  Detail & Related papers  (2022-07-08T11:16:29Z)
• Accessing the topological Mott insulator in cold atom quantum simulators with realistic Rydberg dressing [58.720142291102135]
  We investigate a realistic scenario for the quantum simulation of such systems using cold Rydberg-dressed atoms in optical lattices. We perform a detailed analysis of the phase diagram at half- and incommensurate fillings, in the mean-field approximation. We furthermore study the stability of the phases with respect to temperature within the mean-field approximation.
  arXiv  Detail & Related papers  (2022-03-28T14:55:28Z)
• Dynamical scaling of correlations generated by short- and long-range dissipation [0.0]
  We consider systems initially in an unrelated state, and find that correlations and contract in a novel pattern intimately related to both the dissipative nature of the dynamical channel and widen its profile. Our work aims at extending the study of correlation dynamics to purely dissipative quantum simulators and compare them with the established paradigm of spreading in hamiltonian systems.
  arXiv  Detail & Related papers  (2021-10-18T18:00:26Z)
• Probing eigenstate thermalization in quantum simulators via fluctuation-dissipation relations [77.34726150561087]
  The eigenstate thermalization hypothesis (ETH) offers a universal mechanism for the approach to equilibrium of closed quantum many-body systems. Here, we propose a theory-independent route to probe the full ETH in quantum simulators by observing the emergence of fluctuation-dissipation relations. Our work presents a theory-independent way to characterize thermalization in quantum simulators and paves the way to quantum simulate condensed matter pump-probe experiments.
  arXiv  Detail & Related papers  (2020-07-20T18:00:02Z)

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.