Quantum criticality and factorization in a constrained Rydberg spin chain

• URL: http://arxiv.org/abs/2605.27166v1
• Date: Tue, 26 May 2026 15:23:25 GMT
• Title: Quantum criticality and factorization in a constrained Rydberg spin chain
• Abstract summary: We investigate a one-dimensional constrained quantum spin chain realized in coherently driven Rydberg-atom arrays.<n>Projecting onto the blockade-constrained Hilbert space yields an effective model in which local and nonlocal quantum fluctuations compete on equal footing.
• Score: 3.5512194722857804
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We investigate the zero-temperature phase diagram of a one-dimensional constrained quantum spin chain realized in coherently driven Rydberg-atom arrays with competing local Rabi driving and dipole-dipole exchange interactions. Projecting onto the blockade-constrained Hilbert space yields an effective model in which local and nonlocal quantum fluctuations compete on equal footing. Combining exact diagonalization, the density-matrix renormalization group, and variational uniform matrix-product-state calculations, we establish a complete phase diagram comprising a Luttinger liquid, an antiferromagnetic ordered phase, and a polarized paramagnet. We identify two distinct mechanisms for the destruction of antiferromagnetic order: a conventional Ising transition at strong driving and a continuous quantum melting into the Luttinger liquid at weak driving, characterized using entanglement-based diagnostics and finite-entanglement scaling. In addition, we uncover an exact ground-state factorization line embedded within the ordered phase, providing an analytically tractable zero-entanglement reference point for experiments with programmable Rydberg quantum simulators.

Related papers

• Observation of magnetic quantum phase crossovers in a semiconductor spin ladder [30.296977335549926]
  We realize a programmable Heisenberg spin ladder in a half-filled germanium quantum dot array.<n>Under a fixed magnetic field, we map the rung-singlet, canted antiferromagnetic, and fully polarized phases.<n>Our results establish germanium quantum dot arrays as a controllable platform for quantum magnetism.
  arXiv  Detail & Related papers  (2026-08-18T13:50:44Z)
• Two-Point Stabilizer Rényi Entropy: a Computable Magic Proxy of Interacting Fermions [0.17478203318226307]
  Quantifying non-stabilizerness (magic'') in interacting fermionic systems remains a formidable challenge.<n>We establish the two-point stabilizer Rényi entropy (SRE) and its mutual counterpart as robust, computationally accessible probes for detecting magic in diverse fermionic phases.<n>Our results validate the two-point SRE as a versatile and sensitive diagnostic, forging a novel link between quantum resource theory, critical phenomena, and topological order in strongly correlated matter.
  arXiv  Detail & Related papers  (2026-01-19T19:00:03Z)
• An integrated neural wavefunction solver for spinful Fermi systems [41.99844472131922]
  We present an approach to solving the ground state of Fermi systems that contain spin or other discrete degrees of freedom in addition to continuous coordinates.<n>A transformer achieves both continuous position and discrete spin as inputs universal approximation to spinful generalized orbitals.<n>We validate the method on a range of two-dimensional material problems.
  arXiv  Detail & Related papers  (2025-10-21T13:20:31Z)
• Quantum channel for modeling spin-motion dephasing in Rydberg chains [44.99833362998488]
  We introduce a quantum channel to model the dissipative dynamics resulting from the coupling between spin and motional degrees of freedom in chains of neutral atoms with Rydberg interactions.<n>We benchmark the accuracy of our approach against exact diagonalization for small systems, identifying its regime of validity and the onset of perturbative breakdown.<n>We then apply the quantum channel to compute fidelity loss during transport of single-spin excitations across extended Rydberg chains in intractable regimes via exact diagonalization.
  arXiv  Detail & Related papers  (2025-06-30T17:37:38Z)
• Probing quantum floating phases in Rydberg atom arrays [61.242961328078245]
  We experimentally observe the emergence of the quantum floating phase in 92 neutral-atom qubits. The site-resolved measurement reveals the formation of domain walls within the commensurate ordered phase. As the experimental system sizes increase, we show that the wave vectors approach a continuum of values incommensurate with the lattice.
  arXiv  Detail & Related papers  (2024-01-16T03:26:36Z)
• A Floquet-Rydberg quantum simulator for confinement in $\mathbb{Z}_2$ gauge theories [44.99833362998488]
  Recent advances in the field of quantum technologies have opened up the road for the realization of small-scale quantum simulators. We present a scalable Floquet scheme for the quantum simulation of the real-time dynamics in a $mathbbZ$ LGT. We show that an observation of gauge-invariant confinement dynamics in the Floquet-Rydberg setup is at reach of current experimental techniques.
  arXiv  Detail & Related papers  (2023-11-28T13:01:24Z)
• First-order transitions in spin chains coupled to quantum baths [0.0]
  We show that tailoring the dissipative environment allows to change the features of continuous quantum phase transitions. We find that spin couplings to local quantum boson baths in the Ohmic regime can drive the transition from the second to the first order even for a low dissipation strength.
  arXiv  Detail & Related papers  (2022-07-27T20:42:08Z)
• Variational Quantum Simulation of Valence-Bond Solids [0.0]
  We introduce a hybrid quantum-classical variational algorithm to simulate ground-state phase diagrams of frustrated quantum spin models. We benchmark the method against the J1-J2 Heisenberg model on the square lattice and uncover its phase diagram. Our results show that the convergence of the algorithm is guided by the onset of long-range order, opening a promising route to synthetically realize frustrated quantum magnets.
  arXiv  Detail & Related papers  (2022-01-07T17:05:14Z)
• Effect of Emitters on Quantum State Transfer in Coupled Cavity Arrays [48.06402199083057]
  We study the effects of atoms in cavities which can absorb and emit photons as they propagate down the array. Our model is equivalent to previously examined spin chains in the one-excitation sector and in the absence of emitters.
  arXiv  Detail & Related papers  (2021-12-10T18:52:07Z)
• Localization transition induced by programmable disorder [0.24629531282150877]
  Many-body localization occurs on a spin-1/2 transverse-field Ising model. We observe a transition from an ergodic phase to a non-thermal phase for individual energy eigenstates. We realize the time-independent disordered Ising Hamiltonian experimentally on a D-Wave 2000Q programmable quantum annealer.
  arXiv  Detail & Related papers  (2021-08-15T15:37:32Z)
• Phase diagram of a distorted kagome antiferromagnet and application to Y-kapellasite [50.591267188664666]
  We reveal a rich ground state phase diagram even at the classical level. The presented model opens a new direction in the study of kagome antiferromagnets.
  arXiv  Detail & Related papers  (2021-07-28T18:00:03Z)
• Designer Magnetism in High Entropy Oxides [41.74498230885008]
  Disorder can have a dominating influence on correlated and quantum materials. In magnetic systems, spin and exchange disorder can provide access to quantum criticality, frustration, and spin dynamics. We show that high entropy oxides present an unexplored route to designing quantum materials.
  arXiv  Detail & Related papers  (2021-04-12T15:21:48Z)
• Operator-algebraic renormalization and wavelets [62.997667081978825]
  We construct the continuum free field as the scaling limit of Hamiltonian lattice systems using wavelet theory. A renormalization group step is determined by the scaling equation identifying lattice observables with the continuum field smeared by compactly supported wavelets.
  arXiv  Detail & Related papers  (2020-02-04T18:04:51Z)

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.