Local diagnostics for strong-to-weak spontaneous symmetry breaking and non-equilibrium phase transitions

• URL: http://arxiv.org/abs/2605.29113v1
• Date: Wed, 27 May 2026 21:20:59 GMT
• Title: Local diagnostics for strong-to-weak spontaneous symmetry breaking and non-equilibrium phase transitions
• Abstract summary: We show transitions between strong-paramagnetic behavior and strong-to-weak spontaneous symmetry breaking.<n>In 1+1d, an absorbing-state construction gives a transition with scaling consistent with the parity-conserving branching-annihilating random-walk class.<n>In 2+1d, a pair-flip variant of Toom's rule provides evidence for a stable strong-paramagnetic/weakly symmetry-broken regime.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We construct strongly $\mathbb{Z}_2$-symmetric local Markov/Lindblad dynamics exhibiting transitions between strong-paramagnetic behavior and strong-to-weak spontaneous symmetry breaking. In 1+1d, an absorbing-state construction gives a transition with scaling consistent with the parity-conserving branching-annihilating random-walk universality class. In 2+1d, a pair-flip variant of Toom's rule provides evidence for a stable strong-paramagnetic/weakly symmetry-broken regime and a transition into an active SWSSB regime. We also introduce a marginal fidelity correlator of radius $R$, a local proxy for the usual SWSSB fidelity order parameter requiring tomography only on $\mathcal{O}(R^d)$-size regions. For broad classes of states, including symmetry-projected Gibbs-like states satisfying suitable local indistinguishability assumptions, we bound the error between the marginal and global fidelity correlators by terms decaying exponentially in $R$. These marginal fidelities provide a model-independent diagnostic of SWSSB in absorbing-state transitions, where microscopic notions of defects or activity are not universal.

Related papers

• $\ ext{GSF-}χ$: Global Stereochemical Fields for Chiral Graph Transformers [49.85093436361195]
  We introduce GSF-$$, a graph transformer in which stereogenic units modulate all pairwise interactions.<n>A $C$ projection separates mirror-even ECD peak counts and positions from mirror-odd peak signs.<n>GSF-$$ leads every central-ECD output and improves axial Rotation and Symbol by $12.6%$ and $7.9%$ over the strongest baseline.
  arXiv  Detail & Related papers  (2026-09-11T07:41:20Z)
• Thresholdless dynamical instability in transverse $\mathcal{PT}$-symmetric scattering systems: The hidden role of bound states in the continuum [5.256849867954237]
  We find a thresholdless dynamical instability in transverse parity-time ($mathcalPT$) symmetric systems.<n>The instability sets in at arbitrarily small $$ whenever $_V>0$.<n>These results establish a microscopic stability criterion and a design principle for stable $mathcalPT$-symmetric scattering devices.
  arXiv  Detail & Related papers  (2026-08-30T04:57:14Z)
• Spectral Edge Rigidity of Quantum Chaotic States [0.0]
  We determine the distribution of fidelity susceptibility for chaotic eigenstates at the spectral edge of Gaussian random-matrix ensembles.<n>Our results establish universal, symmetry-dependent spectral-edge fidelity-susceptibility statistics in systems whose chaotic dynamics extends down to the ground state.
  arXiv  Detail & Related papers  (2026-08-17T17:33:24Z)
• Floquet-Resolved Dissipation Selects Entanglement Beyond Population Spectroscopy [41.99844472131922]
  We show that two dissipative descriptions of the same parametrically coupled qubits can yield closely similar period-averaged populations.<n>Both retain the complete periodically driven Hamiltonian, the same microscopic bath couplings, and the same physical observables.
  arXiv  Detail & Related papers  (2026-08-12T15:33:26Z)
• Nonlocality-induced critical-length hierarchy from non-Hermitian competition [48.9823527611878]
  In short-range systems formed by two coupled chains, competition leads to the critical-length law $N_csimln D$.<n>Here we show that long-range hoppings fundamentally reorganizes this critical behavior, producing a hierarchy of distinct scaling laws.<n>Our results offer a platform-independent framework testable in programmable topoelectrical circuits, photonic lattices and digital quantum simulators.
  arXiv  Detail & Related papers  (2026-08-03T18:00:18Z)
• Anomalous suppression of quantum chaos between two integrable limits [0.15293427903448023]
  Level statistics in non-integrable quantum many-body systems with time reversal symmetry are expected to follow the Gaussian Orthogonal Ensemble (GOE)<n>We show that the interacting Su-Schrieffer-Heeger model exhibits a clear suppression of the mean level-spacing ratio $langle rrangle$ from the GOE value $approx 0.535$.<n>This challenges the conventional association between non-integrability and fully chaotic spectral statistics.
  arXiv  Detail & Related papers  (2026-07-06T18:00:03Z)
• Symmetric Resourceful Steady States via Non-Markovian Dissipation [0.0]
  We prove a no-go theorem for symmetry-based dissipative engineering of collective-spin steady states.<n>We show that bath memory lifts this obstruction, enabling unique entangled steady states with a prescribed symmetry and a metrological gain.
  arXiv  Detail & Related papers  (2026-03-20T16:15:18Z)
• Stability and Generalization of Push-Sum Based Decentralized Optimization over Directed Graphs [55.77845440440496]
  Push-based decentralized communication enables optimization over communication networks, where information exchange may be asymmetric.<n>We develop a unified uniform-stability framework for the Gradient Push (SGP) algorithm.<n>A key technical ingredient is an imbalance-aware generalization bound through two quantities.
  arXiv  Detail & Related papers  (2026-02-24T05:32:03Z)
• Strong-to-Weak Spontaneous Symmetry Breaking in Mixed Quantum States [10.383582684153945]
  This paper explores a novel type of spontaneous symmetry breaking ( SSB) where a strong symmetry is broken to a weak one. We prove that SW- SSB is a universal property of mixed-state quantum phases. We argue that a thermal state at a nonzero temperature in the canonical ensemble (with fixed symmetry charge) should have spontaneously broken strong symmetry.
  arXiv  Detail & Related papers  (2024-05-06T16:59:01Z)
• Three perspectives on entropy dynamics in a non-Hermitian two-state system [41.94295877935867]
  entropy dynamics as an indicator of physical behavior in an open two-state system with balanced gain and loss is presented. We distinguish the perspective taken in utilizing the conventional framework of Hermitian-adjoint states from an approach that is based on biorthogonal-adjoint states and a third case based on an isospectral mapping.
  arXiv  Detail & Related papers  (2024-04-04T14:45:28Z)
• Emergent criticality in a constrained boson model [0.0]
  We show, via explicit computation on a constrained bosonic model, that the presence of subsystem symmetries can lead to a quantum phase transition.<n>We verify this scenario via explicit exact-diagonalization computations, provide an effective Landau-Ginzburg theory for such a transition, and discuss the connection of our model to the PXP model describing Rydberg atom arrays.
  arXiv  Detail & Related papers  (2023-11-20T19:00:03Z)
• Robust extended states in Anderson model on partially disordered random regular graphs [44.99833362998488]
  It is shown that the mobility edge in the spectrum survives in a certain range of parameters $(d,beta)$ at infinitely large uniformly distributed disorder. The duality in the localization properties between the sparse and extremely dense RRG has been found and understood.
  arXiv  Detail & Related papers  (2023-09-11T18:00:00Z)
• Emergence of non-Abelian SU(2) invariance in Abelian frustrated fermionic ladders [37.69303106863453]
  We consider a system of interacting spinless fermions on a two-leg triangular ladder with $pi/2$ magnetic flux per triangular plaquette. Microscopically, the system exhibits a U(1) symmetry corresponding to the conservation of total fermionic charge, and a discrete $mathbbZ$ symmetry. At the intersection of the three phases, the system features a critical point with an emergent SU(2) symmetry.
  arXiv  Detail & Related papers  (2023-05-11T15:57:27Z)

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.