Emergent Kinetic Constraints and Subspace Fragmentation in Rydberg Arrays

• URL: http://arxiv.org/abs/2605.01366v1
• Date: Sat, 02 May 2026 10:21:29 GMT
• Title: Emergent Kinetic Constraints and Subspace Fragmentation in Rydberg Arrays
• Abstract summary: In a strongly interacting Rydberg atom array, the dynamics are often constrained to the decoupled Hilbert subspaces.<n>We show that, not only is the existence of these Hilbert subspaces dependent on the interplay of detuning and interaction, but they are also strongly fragmented.<n>Our results provide a systematic understanding of Hilbert-space fragmentation in Rydberg arrays, and shed light on engineering nonergodic many-body dynamics beyond the PXP model.
• Score: 3.3797565343530636
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: In a strongly interacting Rydberg atom array, the dynamics are often constrained to the decoupled Hilbert subspaces, representing an intriguing paradigm for nonergodicity. By considering a variable detuning of the global Rydberg coupling, we show that, not only is the existence of these Hilbert subspaces dependent on the interplay of detuning and interaction, but they are also strongly fragmented, with the fragment dimensions exhibiting various scaling behaviors with increasing system size. The resulting constrained dynamics of the system are thus governed by the dimension and connectivity of these fragments. We then adopt an auxiliary fermion description to reveal the underlying emergent kinetic constraints for the subspace fragmentation and fragment-confined dynamics. Our results provide a systematic understanding of Hilbert-space fragmentation in Rydberg arrays, and shed light on engineering nonergodic many-body dynamics beyond the PXP model.

Related papers

• Hilbert space fragmentation in driven-dephasing Rydberg atom array [5.745841895674787]
  We investigate the onset and mechanism of Hilbert space fragmentation (HSF) in a chain of strongly interacting Rydberg atoms subject to local dephasing.<n>It is found that the emergence of multiple long-lived metastable states is fundamentally tied to HSF of the driven-dephasing Rydberg atom system.
  arXiv  Detail & Related papers  (2025-11-28T17:41:50Z)
• Fragmented quantum phases in anti-blockade regime of Rydberg atom array [26.40335566788265]
  We report a parameter-dependent Hilbert space fragmentation in a one-dimensional Rydberg atom array under anti-blockade conditions.<n>Our results highlight the potential of anti-blockade mechanisms for programmable non-thermal dynamics in many-body systems.
  arXiv  Detail & Related papers  (2025-07-23T13:14:03Z)
• Weak coupling limit for quantum systems with unbounded weakly commuting system operators [50.24983453990065]
  This work is devoted to a rigorous analysis of the weak coupling limit (WCL) for the reduced dynamics of an open infinite-dimensional quantum system interacting with electromagnetic field or a reservoir formed by Fermi or Bose particles.<n>We derive in the weak coupling limit the reservoir statistics, which is determined by whose terms in the multi-point correlation functions of the reservoir are non-zero in the WCL.<n>We prove that the resulting reduced system dynamics converges to unitary dynamics with a modified Hamiltonian which can be interpreted as a Lamb shift to the original Hamiltonian.
  arXiv  Detail & Related papers  (2025-05-13T05:32:34Z)
• Prethermalization of light and matter in cavity-coupled Rydberg arrays [44.99833362998488]
  We explore the dynamics of two-dimensional Rydberg atom arrays coupled to a single-mode optical cavity.<n>We discover a novel prethermalization regime driven by the interplay between short-range Rydberg interactions and long-range photon-mediated interactions.
  arXiv  Detail & Related papers  (2025-04-08T17:59:59Z)
• Exact dynamics of quantum dissipative $XX$ models: Wannier-Stark localization in the fragmented operator space [49.1574468325115]
  We find an exceptional point at a critical dissipation strength that separates oscillating and non-oscillating decay. We also describe a different type of dissipation that leads to a single decay mode in the whole operator subspace.
  arXiv  Detail & Related papers  (2024-05-27T16:11:39Z)
• Probing Hilbert Space Fragmentation with Strongly Interacting Rydberg Atoms [2.321156230142032]
  Hilbert space fragmentation provides a mechanism to break ergodicity in closed many-body systems.<n>We show that the Rydberg Ising model in the large detuning regime can be mapped to a generalized folded XXZ model featuring a strongly fragmented Hilbert space.<n>We also examine the role of atomic position disorders and identify a symmetry-selective many-body localization transition.
  arXiv  Detail & Related papers  (2024-03-20T17:53:20Z)
• Quantum Fragmentation in the Extended Quantum Breakdown Model [0.0]
  We analytically show that, in the absence of any magnetic field for the spins, the model exhibits Hilbert space fragmentation into exponentially many Krylov subspaces. We also study the long-time behavior of the entanglement entropy and its deviation from the expected Page value as a probe of ergodicity in the system.
  arXiv  Detail & Related papers  (2024-01-29T19:00:10Z)
• 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)
• Continuous percolation in a Hilbert space for a large system of qubits [58.720142291102135]
  The percolation transition is defined through the appearance of the infinite cluster. We show that the exponentially increasing dimensionality of the Hilbert space makes its covering by finite-size hyperspheres inefficient. Our approach to the percolation transition in compact metric spaces may prove useful for its rigorous treatment in other contexts.
  arXiv  Detail & Related papers  (2022-10-15T13:53:21Z)
• Decimation technique for open quantum systems: a case study with driven-dissipative bosonic chains [62.997667081978825]
  Unavoidable coupling of quantum systems to external degrees of freedom leads to dissipative (non-unitary) dynamics. We introduce a method to deal with these systems based on the calculation of (dissipative) lattice Green's function. We illustrate the power of this method with several examples of driven-dissipative bosonic chains of increasing complexity.
  arXiv  Detail & Related papers  (2022-02-15T19:00:09Z)
• Hilbert space fragmentation in a 2D quantum spin system with subsystem symmetries [0.0]
  subsystem symmetries are associated to conserved magnetization along rows and columns of a square lattice. We show that subsystem symmetries alone cannot account for such a number of inert states, even with infinite-range interactions.
  arXiv  Detail & Related papers  (2021-07-20T18:00:49Z)
• Dynamical solitons and boson fractionalization in cold-atom topological insulators [110.83289076967895]
  We study the $mathbbZ$ Bose-Hubbard model at incommensurate densities. We show how defects in the $mathbbZ$ field can appear in the ground state, connecting different sectors. Using a pumping argument, we show that it survives also for finite interactions.
  arXiv  Detail & Related papers  (2020-03-24T17:31:34Z)

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.