Quantum Resources in Disorder-Free Localization Dynamics of Gauge Theories

• URL: http://arxiv.org/abs/2607.28730v1
• Date: Thu, 30 Jul 2026 18:00:05 GMT
• Title: Quantum Resources in Disorder-Free Localization Dynamics of Gauge Theories
• Abstract summary: Quantum-state complexity diagnostics provide valuable insight into many-body dynamics, information scrambling, and quantum computation.<n>We investigate the real-time dynamics of quantum complexity in $1+1$-dimensional Abelian U(1) and non-Abelian SU(2) lattice gauge theories.
• Score: 0.003004180595230273
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Quantum-state complexity diagnostics provide valuable insight into many-body dynamics, information scrambling, and quantum computation. Here, we investigate the real-time dynamics of quantum complexity in $1+1$-dimensional Abelian U(1) and non-Abelian SU(2) lattice gauge theories (LGTs), focusing on the disorder-free localization (DFL) regime. Using stabilizer Rényi entropy, participation Rényi entropy, and fermionic non-Gaussianity as measures of complexity, we observe, for both theories, two main behaviors as a function of the gauge coupling: at intermediate values, a power-law relaxation towards saturation, consistent with observations in many-body localization, and, at sufficiently large values, an ultraslow double-logarithmic growth, which we substantiate with a configuration-space bound verified by exact counting. Our results not only provide deeper insight into the dynamics of DFL but also highlight the role of gauge invariance in constraining quantum resources and are relevant to recent quantum simulations of LGTs.

Related papers

• Entanglement-facilitated macroscopic cluster formation in quantum many-body dynamics [42.89492957665636]
  We find that initial-state entanglement suppresses the proliferation of true-vacuum bubbles and stabilises macroscopic connected clusters.<n>Our results establish a connection between initial-state preparation and the preservation of global structures.
  arXiv  Detail & Related papers  (2026-05-21T18:21:14Z)
• Dynamics of entanglement entropy for a locally monitored lattice gauge theory [0.12233362977312945]
  The $1$ dimensional $Z$ gauge theory is the simplest model that allows for quantum computation or quantum simulation.<n>This work focuses on monitoring ultra-local physical observables for a $mathbb Z+1$ gauge theory.
  arXiv  Detail & Related papers  (2026-03-31T15:46:56Z)
• Matter-induced plaquette terms in a $\mathbb{Z}_2$ lattice gauge theory [0.0025164636860318715]
  Lattice gauge theories (LGTs) provide a powerful framework for studying confinement, topological order, and exotic quantum matter.<n>We show that matter naturally induces sizable plaquette interactions even in the absence of explicit plaquette terms in the Hamiltonian.<n>Our results suggest a natural route to the realization of strong plaquette terms and pave the way for realizing a topological quantum spin liquid protected by a large gap.
  arXiv  Detail & Related papers  (2026-02-13T18:57:51Z)
• Constructive interference at the edge of quantum ergodic dynamics [116.94795372054381]
  We characterize ergodic dynamics using the second-order out-of-time-order correlators, OTOC$(2)$.<n>In contrast to dynamics without time reversal, OTOC$(2)$ are observed to remain sensitive to the underlying dynamics at long time scales.
  arXiv  Detail & Related papers  (2025-06-11T21:29:23Z)
• Theory of the correlated quantum Zeno effect in a monitored qubit dimer [41.94295877935867]
  We show how the competition between two measurement processes give rise to two distinct Quantum Zeno (QZ) regimes.<n>We develop a theory based on a Gutzwiller ansatz for the wavefunction that is able to capture the structure of the Hilbert phase diagram.<n>We show how the two QZ regimes are intimately connected to the topology of the flow of the underlying non-Hermitian Hamiltonian governing the no-click evolution.
  arXiv  Detail & Related papers  (2025-03-28T19:44:48Z)
• Entanglement scaling and criticality of infinite-size quantum many-body systems in continuous space addressed by a tensor network approach [0.0]
  This work investigates the quantum entanglement and criticality of the ground-state wave-functions of infinitely-many coupled quantum oscillators (iCQOs)<n>By extending the imaginary-time evolution algorithm with translationally-invariant functional tensor network, we simulate the ground state of iCQOs with the presence of two- and three-body couplings.<n>We reveal the logarithmic scaling law of entanglement entropy (EE) and the scaling law of correlation length against the virtual bond $chi$ at the dividing point of physical and non-physical regions.
  arXiv  Detail & Related papers  (2024-10-31T04:20:49Z)
• Observation of disorder-free localization using a (2+1)D lattice gauge theory on a quantum processor [118.01172048932149]
  Disorder-induced phenomena in quantum many-body systems pose significant challenges for analytical methods and numerical simulations.<n>We investigate quantum circuits in tunable states to superpositions over all disorder configurations.
  arXiv  Detail & Related papers  (2024-10-09T05:28:14Z)
• Probing critical phenomena in open quantum systems using atom arrays [3.365378662696971]
  At quantum critical points, correlations decay as a power law, with exponents determined by a set of universal scaling dimensions. Here, we employ a Rydberg quantum simulator to adiabatically prepare critical ground states of both a one-dimensional ring and a two-dimensional square lattice. By accounting for and tuning the openness of our quantum system, we are able to directly observe power-law correlations and extract the corresponding scaling dimensions.
  arXiv  Detail & Related papers  (2024-02-23T15:21:38Z)
• Universality of critical dynamics with finite entanglement [68.8204255655161]
  We study how low-energy dynamics of quantum systems near criticality are modified by finite entanglement. Our result establishes the precise role played by entanglement in time-dependent critical phenomena.
  arXiv  Detail & Related papers  (2023-01-23T19:23:54Z)
• Meson content of entanglement spectra after integrable and nonintegrable quantum quenches [0.0]
  We calculate the time evolution of the lower part of the entanglement spectrum and return rate functions after global quantum quenches in the Ising model. Our analyses provide a deeper understanding on the role of quantum information quantities for the dynamics of emergent phenomena reminiscent to systems in high-energy physics.
  arXiv  Detail & Related papers  (2022-10-27T18:00:01Z)
• Quantum Statistical Complexity Measure as a Signalling of Correlation Transitions [55.41644538483948]
  We introduce a quantum version for the statistical complexity measure, in the context of quantum information theory, and use it as a signalling function of quantum order-disorder transitions. We apply our measure to two exactly solvable Hamiltonian models, namely: the $1D$-Quantum Ising Model and the Heisenberg XXZ spin-$1/2$ chain. We also compute this measure for one-qubit and two-qubit reduced states for the considered models, and analyse its behaviour across its quantum phase transitions for finite system sizes as well as in the thermodynamic limit by using Bethe ansatz.
  arXiv  Detail & Related papers  (2020-02-05T00:45:21Z)

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.