Statistics as a local phase: crystalline order and quench dynamics of emergent dimers in Ising gauge theories

• URL: http://arxiv.org/abs/2608.26264v1
• Date: Wed, 26 Aug 2026 18:00:07 GMT
• Title: Statistics as a local phase: crystalline order and quench dynamics of emergent dimers in Ising gauge theories
• Abstract summary: We study how statistics of microscopic particles survive when confinement binds them into bosonic composites.<n>We find that the statistics of the underlying matter is encoded entirely in a single local hopping phase.<n>We propose a quench protocol under which identical dimer configurations evolve in markedly different ways depending on the statistics of their constituents.
• Score: 0.0032818514814266144
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: How does the Bose or Fermi statistics of microscopic particles survive when confinement binds them into emergent bosonic composites? We address this question in the strong-coupling limit of a $2+1$D $\mathbb{Z}_2$ lattice gauge theory, where charges are confined into tightly bound pairs that can be described by an effective dimer model. We find that the statistics of the underlying matter is encoded entirely in a single local hopping phase $\varphi$ -$0$ for bosons, $π$ for fermions- while interactions remain statistics-independent. Treating $\varphi$ as a continuous parameter that interpolates between the two, we map the ground-state phase diagram with the help of tensor-network methods. The angle $\varphi$ itself drives a transition between a dimer-superfluid and dimer charge density wave state, while the magnetic coupling binds neighboring dimers into resonating pairs, in competition with the inter-dimer repulsion. We identify a novel gapped phase in which dimer pairs crystallize into an ordered pattern of resonating plaquettes. Finally, we propose a quench protocol under which identical dimer configurations evolve in markedly different ways depending on the statistics of their constituents. This provides a dynamical probe of the internal structure of dimers, and detects ordered phases through real time signatures, within reach of simulators that natively realize bosonic degrees of freedom.

Related papers

• On trace invariance and energy-dependent entanglement in muon decay [45.88028371034407]
  We revisit a proposed correction to the muon magnetic anomaly measurement.<n>We compare it with energy-binned scans reported by the Fermilab $g-2$ collaboration.
  arXiv  Detail & Related papers  (2026-08-19T12:06:54Z)
• Continuum Neural Momentum Eigenstate for Variationally Solving Quasiparticles [1.2891210250935148]
  Our architecture, EVE, enables off-the-shelf VMC to solve for momentum-sector ground states.<n>We test EVE on 2D bosons with mutual $1/r$ interactions, finding that a single unified ansatz is capable of describing four qualitatively different states.<n>We analyze the roton's phase texture and find unexpected multi-particle phase strings.
  arXiv  Detail & Related papers  (2026-06-11T05:42:57Z)
• Entanglement dynamics of delocalized interacting particles [0.0]
  Quantum entanglement in systems of identical particles is often obscured by the interplay between exchange-induced correlations and the operational framework used to define entanglement.<n>We propose a scheme using two textitdistinguishable particles where an exchange symmetry is artificially engineered via a relative phase $$ in the initial state.<n>By monitoring the interplay between purity and coherence, we uncover distinct dynamical regimes dictated by the interaction strength $U$ and the phase $$.
  arXiv  Detail & Related papers  (2026-04-21T01:18:37Z)
• Symmetry-protected topology and deconfined solitons in a multi-link $\mathbb{Z}_2$ gauge theory [45.88028371034407]
  We study a $mathbbZ$ lattice gauge theory defined on a multi-graph with links that can be visualized as great circles of a spherical shell.<n>We show that this leads to state-dependent tunneling amplitudes underlying a phenomenon analogous to the Peierls instability.<n>By performining a detailed analysis based on matrix product states, we prove that charge deconfinement emerges as a consequence of charge-fractionalization.
  arXiv  Detail & Related papers  (2026-03-02T22:59:25Z)
• Unexpected non-universality of the time braiding phase of anyons tied by the scaling dimension [45.88028371034407]
  We use a braiding nonequilibrium fluctuation dissipation relation linking the DC noise to the response function inferred from the braiding constraint in the time-domain.<n>This questions the universality of $theta$ that can reflect the microscopic edge dynamics, in contrast to the topologically protected braiding phase in the space domain.
  arXiv  Detail & Related papers  (2025-10-23T14:18:15Z)
• Viewing protected superconducting qubits through the lens of the cat qubit [0.4999814847776097]
  We draw analogies between protected superconducting qubits and bosonic qubits by studying the fluxonium Hamiltonian in its Fock basis.<n>We describe cat-qubit-inspired bias-preserving $X$ and $$$ qubits.
  arXiv  Detail & Related papers  (2025-01-27T19:00:01Z)
• Dynamical Aharonov-Bohm cages and tight meson confinement in a $\mathbb{Z}_2$-loop gauge theory [44.99833362998488]
  We study the finite-density phases of a $mathbbZ$ lattice gauge theory (LGT) of interconnected loops and dynamical $mathbbZ$ charges.
  arXiv  Detail & Related papers  (2024-12-17T00:26:24Z)
• Ancilla quantum measurements on interacting chains: Sensitivity of entanglement dynamics to the type and concentration of detectors [46.76612530830571]
  We consider a quantum many-body lattice system that is coupled to ancillary degrees of freedom (detectors'') We explore the dynamics of density and of entanglement entropy in the chain, for various values of $rho_a$ and $M$.
  arXiv  Detail & Related papers  (2023-11-21T21:41:11Z)
• 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)
• Full counting statistics of interacting lattice gases after an expansion: The role of the condensate depletion in the many-body coherence [55.41644538483948]
  We study the full counting statistics (FCS) of quantum gases in samples of thousands of interacting bosons. FCS reveals the many-body coherence from which we characterize iconic states of interacting lattice bosons.
  arXiv  Detail & Related papers  (2022-07-28T13:21:57Z)
• Quantum Phase Transition of Many Interacting Spins Coupled to a Bosonic Bath: static and dynamical properties [0.0]
  We show that in the Ohmic regime, a Beretzinski-Thouless-Kosterlitz quantum phase transition occurs. For the observed quantum phase transition we also establish a criterion analogous to that of the metal-insulator transition in solids.
  arXiv  Detail & Related papers  (2021-03-30T10:07:11Z)
• Effective Theory for the Measurement-Induced Phase Transition of Dirac Fermions [0.0]
  A wave function exposed to measurements undergoes pure state dynamics. For many-particle systems, the competition of these different elements of dynamics can give rise to a scenario similar to quantum phase transitions. A key finding is that this field theory decouples into one set of degrees of freedom that heats up indefinitely.
  arXiv  Detail & Related papers  (2021-02-16T19:00:00Z)

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.