Anomalous universal adiabatic dynamics: The case of the Fredkin model

• URL: http://arxiv.org/abs/2207.07876v2
• Date: Mon, 27 Mar 2023 19:34:57 GMT
• Title: Anomalous universal adiabatic dynamics: The case of the Fredkin model
• Authors: Gianluca Francica, Luca Dell'Anna
• Abstract summary: We study the number of defects which can exhibit another universal scaling law which is still related only to the critical exponents $z$ and $nu$, but differs from the Kibble-Zurek result. We provide an example, the deformed Fredkin spin chain, where this violation of the standard adiabatic dynamics can occur.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: When a system is driven across a second-order quantum phase transition, the number of defects which are produced scales with the speed of the variation of the tuning parameter according to a universal law described by the Kibble-Zurek mechanism. We study a possible breakdown of this prediction proving that the number of defects can exhibit another universal scaling law which is still related only to the critical exponents $z$ and $\nu$, but differs from the Kibble-Zurek result. Finally we provide an example, the deformed Fredkin spin chain, where this violation of the standard adiabatic dynamics can occur.

Related papers

• Separation of the Kibble-Zurek Mechanism from Quantum Criticality [0.5371337604556311]
  We show that the correspondence between Kibble-Zurek scaling and quantum criticality does not hold generally.<n>Our results are based on models representative of a broad class of quasi-one-dimensional Fermi systems.
  arXiv  Detail & Related papers  (2026-02-23T14:09:21Z)
• Random-Matrix-Induced Simplicity Bias in Over-parameterized Variational Quantum Circuits [72.0643009153473]
  We show that expressive variational ansatze enter a Haar-like universality class in which both observable expectation values and parameter gradients concentrate exponentially with system size.<n>As a consequence, the hypothesis class induced by such circuits collapses with high probability to a narrow family of near-constant functions.<n>We further show that this collapse is not unavoidable: tensor-structured VQCs, including tensor-network-based and tensor-hypernetwork parameterizations, lie outside the Haar-like universality class.
  arXiv  Detail & Related papers  (2026-01-05T08:04:33Z)
• Quantum critical dynamics and emergent universality in decoherent digital quantum processors [0.0]
  We show how decoherence can reshape universal scaling and verify theoretical predictions.<n>We observe clear scaling relations, pointing towards persistent universal structure shaped by decoherence.<n>Our results point toward the possibility of using universal dynamical scaling as a high-level descriptor of quantum hardware.
  arXiv  Detail & Related papers  (2025-12-15T09:51:44Z)
• Restoring Kibble-Zurek Scaling and Defect Freezing in Non-Hermitian Systems under Biorthogonal Framework [1.9460072625303615]
  We develop a theoretical framework based on time-dependent biorthogonal quantum formalism. We study the nonadiabatic dynamics of a linearly driven non-Hermitian system.
  arXiv  Detail & Related papers  (2024-10-31T05:01:00Z)
• Dynamics of quantum discommensurations in the Frenkel-Kontorova chain [30.733286944793527]
  We study how imperfections present in concrete implementations of the Frenkel-Kontorova model affect the properties of topological defects. We analyze the propagation and scattering of solitons, examining the role of quantum fluctuations and imperfections in influencing these processes.
  arXiv  Detail & Related papers  (2024-01-23T10:12:45Z)
• Large Deviations Beyond the Kibble-Zurek Mechanism [2.4020585213586387]
  We study the universality of fluctuations beyond the KZM. We report the exact form of the rate function in the transverse-field quantum Ising model.
  arXiv  Detail & Related papers  (2023-07-05T18:00:00Z)
• Quantum Effects on the Synchronization Dynamics of the Kuramoto Model [62.997667081978825]
  We show that quantum fluctuations hinder the emergence of synchronization, albeit not entirely suppressing it. We derive an analytical expression for the critical coupling, highlighting its dependence on the model parameters.
  arXiv  Detail & Related papers  (2023-06-16T16:41:16Z)
• 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)
• Non-Abelian symmetry can increase entanglement entropy [62.997667081978825]
  We quantify the effects of charges' noncommutation on Page curves. We show analytically and numerically that the noncommuting-charge case has more entanglement.
  arXiv  Detail & Related papers  (2022-09-28T18:00:00Z)
• Entanglement structure in the volume-law phase of hybrid quantum automaton circuits [6.723539428281127]
  We numerically observe that the entanglement entropy exhibits strong fluctuation with the exponent close to the growth exponent'' of the Kardar-Parisi-Zhang class. We also investigate the dynamically generated quantum error correction code in the purification process.
  arXiv  Detail & Related papers  (2022-07-05T16:41:51Z)
• Decimation technique for open quantum systems: a case study with driven-dissipative bosonic chains [62.997667081978825]
  Unavoidable coupling of quantum systems to external degrees of freedom leads to dissipative (non-unitary) dynamics. We introduce a method to deal with these systems based on the calculation of (dissipative) lattice Green's function. We illustrate the power of this method with several examples of driven-dissipative bosonic chains of increasing complexity.
  arXiv  Detail & Related papers  (2022-02-15T19:00:09Z)
• Unification of Random Dynamical Decoupling and the Quantum Zeno Effect [68.8204255655161]
  We show that the system dynamics under random dynamical decoupling converges to a unitary with a decoupling error that characteristically depends on the convergence speed of the Zeno limit. This reveals a unification of the random dynamical decoupling and the quantum Zeno effect.
  arXiv  Detail & Related papers  (2021-12-08T11:41:38Z)
• Universal Statistics of Vortices in a Newborn Holographic Superconductor: Beyond the Kibble-Zurek Mechanism [52.77024349608834]
  We investigate universal signatures beyond the celebrated Kibble-Zurek mechanism (KZM) We characterize the distribution of vortices generated in a thermal quench leading to the formation of a holographic superconductor.
  arXiv  Detail & Related papers  (2021-01-06T18:06:40Z)
• Quantum adiabatic cycles and their breakdown [0.0]
  An analytically solvable model for quasi-static transformations across quantum critical points is presented. The model proves that adiabaticity breakdown is a general feature of universal slow dynamics in these systems.
  arXiv  Detail & Related papers  (2020-11-30T14:38:37Z)

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.