Translation symmetry-enforced long-range entanglement in mixed states

• URL: http://arxiv.org/abs/2605.15200v1
• Date: Thu, 14 May 2026 17:59:57 GMT
• Title: Translation symmetry-enforced long-range entanglement in mixed states
• Abstract summary: We show that even though translation symmetry admits symmetric short-range entangled (SRE) eigenstates, there are not enough such SRE eigenstates to span the zero momentum sector.<n>This is a subtle form of long-range entanglement in mixed states that cannot be detected by long-range connected correlation functions.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We show by a counting argument that even though translation symmetry admits symmetric short-range entangled (SRE) eigenstates, there are not enough such SRE eigenstates to span the zero momentum sector. This means that the fixed point strong-to-weak spontaneous symmetry breaking state of translation symmetry is long-range entangled: it cannot be written as a mixture of SRE states. This is a subtle form of long-range entanglement in mixed states that cannot be detected by long-range connected correlation functions.

Related papers

• Observable signatures of exceptional points from left-right eigenstate distinction [17.925787462168707]
  Non-Hermitian quantum systems exhibit qualitatively distinct physical behavior compared to Hermitian systems.<n>We develop a framework for detecting exceptional points based on the distinction between left and right eigenvectors of the Hamiltonian.<n>Our results establish a direct link between the structure of non-Hermitian eigenstates and observable signatures of exceptional points.
  arXiv  Detail & Related papers  (2026-06-09T18:12:27Z)
• Mixed-State Long-Range Entanglement from Dimensional Constraints [0.0]
  We present a new mechanism for long-range entanglement (LRE) in strongly symmetric many-body mixed states.<n>Our primary example is the maximally mixed state in the translation-invariant subspace on a one-dimensional ring.
  arXiv  Detail & Related papers  (2026-05-14T17:59:59Z)
• Higher-form entanglement asymmetry. Part I. The limits of symmetry breaking [0.0]
  Entanglement asymmetry is a relative entropy that faithfully diagnoses symmetry breaking in quantum states.<n>We extend such framework to higher-form symmetries and compute entanglement asymmetry in theories with spontaneously-broken continuous zero- and higher-form symmetries.
  arXiv  Detail & Related papers  (2025-12-17T19:11:15Z)
• Emergent continuous symmetry and ground-state factorization induced by long-range interactions [11.51075495217878]
  We present a theory in which the low-lying excitation in the broken-symmetry phase acquires a continuous symmetry.<n>A striking consequence of the emergent continuous symmetry and conservation law is that it constrains quantum correlations in the ground-state to be zero.<n>Our finding is a universal feature of quantum phase transitions in fully-connected systems and in their lattice generalizations.
  arXiv  Detail & Related papers  (2025-10-09T16:13:53Z)
• Translation symmetry restoration in integrable systems: the noninteracting case [0.16385815610837165]
  We study translation symmetry restoration in integrable systems.<n>In particular, we consider non-interacting spinless fermions on the lattice prepared in non-equilibrium states invariant under $nu>1$ lattice shifts.<n>We show that, differently from random unitary circuits where symmetry restoration occurs abruptly for times proportional to the subsystem size, here symmetry is restored smoothly and over timescales of the order of the subsystem size squared.
  arXiv  Detail & Related papers  (2025-06-17T14:11:31Z)
• Long-range entanglement from spontaneous non-onsite symmetry breaking [3.3754780158324564]
  We show a frustration-free lattice model exhibiting SSB of a non-onsite symmetry. We analytically prove the two-fold ground-state degeneracy and the existence of a finite energy gap. Our work reveals the exotic features of SSB of non-onsite symmetries, which may lie beyond the framework of topological holography.
  arXiv  Detail & Related papers  (2024-11-07T18:59:51Z)
• Instability of steady-state mixed-state symmetry-protected topological order to strong-to-weak spontaneous symmetry breaking [2.9265730100569702]
  We investigate whether open quantum systems hosting mixed-state symmetry-protected topological states as steady states retain this property under symmetric perturbations.<n>We find that typical symmetric perturbations cause strong-to-weak spontaneous symmetry breaking at arbitrarily small perturbations, destabilize the steady-state mixed-state symmetry-protected topological order.<n>We construct a quantum channel which replicates the essential physics of the Lindbladian and can be efficiently simulated using only Clifford gates, Pauli measurements, and feedback.
  arXiv  Detail & Related papers  (2024-10-16T18:00:00Z)
• Diagnosing Strong-to-Weak Symmetry Breaking via Wightman Correlators [20.572965801171225]
  Recent developments have extended the discussion of symmetry and its breaking to mixed states. We propose the Wightman correlator as an alternative diagnostic tool.
  arXiv  Detail & Related papers  (2024-10-12T02:04:40Z)
• Symmetry-enforced many-body separability transitions [0.0]
  We study quantum many-body mixed states with a symmetry from the perspective of separability. We provide evidence for'symmetry-enforced separability transitions' in a variety of states.
  arXiv  Detail & Related papers  (2023-10-11T08:18:51Z)
• Topological triple phase transition in non-Hermitian quasicrystals with complex asymmetric hopping [12.4026969327695]
  Triple phase transitions are observed in an extension of PT symmetric non-Hermitian Aubry-Andr'e-Harper model. The presence of two non-Hermitian parameters ensures PT symmetry transition in the system. Following some recent studies, an electrical circuit based experimental realization of this model is also discussed.
  arXiv  Detail & Related papers  (2023-06-26T18:14:42Z)
• Spontaneous symmetry breaking and ghost states supported by the fractional nonlinear Schr\"odinger equation with focusing saturable nonlinearity and PT-symmetric potential [13.844860643212105]
  We report a novel spontaneous symmetry breaking phenomenon and ghost states existed in the framework of the fractional nonlinear Schr"odinger (FNLS) equation. The continuous asymmetric soliton branch bifurcates from the fundamental symmetric one as the power exceeds some critical value. We explore the elastic/semi-elastic collision phenomena between symmetric and asymmetric solitons.
  arXiv  Detail & Related papers  (2022-10-01T13:18:22Z)
• SYK meets non-Hermiticity II: measurement-induced phase transition [16.533265279392772]
  We analytically derive the effective action in the large-$N$ limit and show that an entanglement transition is caused by the symmetry breaking in the enlarged replica space. We also verify the large-$N$ critical exponents by numerically solving the Schwinger-Dyson equation.
  arXiv  Detail & Related papers  (2021-04-16T17:55:08Z)

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.