Probing Causation Dynamics in Quantum Chains near Criticality

• URL: http://arxiv.org/abs/2403.19364v1
• Date: Thu, 28 Mar 2024 12:25:29 GMT
• Title: Probing Causation Dynamics in Quantum Chains near Criticality
• Authors: Roopayan Ghosh, Bin Yi, Sougato Bose,
• Abstract summary: We use a recent quantum extension of Liang information to investigate causation in quantum chains across their phase diagram. We discern a notable shift in causation behavior across the critical point with each case exhibiting distinct hallmarks, different from correlation measures.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Distinguishing causation from correlation is crucial and requires careful consideration. In this study, we utilize a recent quantum extension of Liang information to investigate causation in quantum chains across their phase diagram. Our analysis encompasses two distinct scenarios: (i) the Aubry-Andr$\'e$-Harper model, characterized by a spectrum-wide phase transition, and (ii) the Anisotropic Transverse Field Ising (ANNNI) model, which demonstrates a ground state transition. We discern a notable shift in causation behavior across the critical point with each case exhibiting distinct hallmarks, different from correlation measures. Especially, in the latter case, we observe maximum causation in the ordered phase just preceding the critical point.

Related papers

• Entanglement in quenched extended Su-Schrieffer-Heeger model with anomalous dynamical quantum phase transitions [0.0]
  We study dynamical quantum phase transitions (DQPTs) in the quenched extended Su-Schrieffer-Heeger (SSH) model. Anomalous DQPTs, where the number of critical momenta exceeds the winding number differences between the pre-quench and post-quench phases, are observed. We categorize the phases in the equilibrium model into two classes and distinctive features in the time evolution of the entanglement involving quenches within and across the two classes are identified.
  arXiv  Detail & Related papers  (2024-07-22T02:35:34Z)
• Multicritical dissipative phase transitions in the anisotropic open quantum Rabi model [0.7499722271664147]
  We investigate the nonequilibrium steady state of the anisotropic open quantum Rabi model. We find a rich phase diagram resulting from the interplay between the anisotropy and the dissipation. Our study enlarges the scope of critical phenomena that may occur in finite-component quantum systems.
  arXiv  Detail & Related papers  (2023-11-19T15:13:57Z)
• 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)
• Softening of Majorana edge states by long-range couplings [77.34726150561087]
  Long-range couplings in the Kitaev chain is shown to modify the universal scaling of topological states close to the critical point. We prove that the Majorana states become increasingly delocalised at a universal rate which is only determined by the interaction range.
  arXiv  Detail & Related papers  (2023-01-29T19:00:08Z)
• Foliated order parameter in a fracton phase transition [0.0]
  We study phase transition in the X-cube model in the presence of a non-linear perturbation. We show there is a first order quantum phase transition from a type I fracton phase to a magnetized phase. We introduce a non-local order parameter in the form of a foliated operator which can characterize the above phase transition.
  arXiv  Detail & Related papers  (2022-06-23T20:11:20Z)
• Genuine Multipartite Correlations in a Boundary Time Crystal [56.967919268256786]
  We study genuine multipartite correlations (GMC's) in a boundary time crystal (BTC) We analyze both (i) the structure (orders) of GMC's among the subsystems, as well as (ii) their build-up dynamics for an initially uncorrelated state.
  arXiv  Detail & Related papers  (2021-12-21T20:25:02Z)
• Quantum correlations, entanglement spectrum and coherence of two-particle reduced density matrix in the Extended Hubbard Model [62.997667081978825]
  We study the ground state properties of the one-dimensional extended Hubbard model at half-filling. In particular, in the superconducting region, we obtain that the entanglement spectrum signals a transition between a dominant singlet (SS) to triplet (TS) pairing ordering in the system.
  arXiv  Detail & Related papers  (2021-10-29T21:02:24Z)
• Quantum asymmetry and noisy multi-mode interferometry [55.41644538483948]
  Quantum asymmetry is a physical resource which coincides with the amount of coherence between the eigenspaces of a generator. We show that the asymmetry may emphincrease as a result of a emphdecrease of coherence inside a degenerate subspace.
  arXiv  Detail & Related papers  (2021-07-23T07:30:57Z)
• Deconfounded Score Method: Scoring DAGs with Dense Unobserved Confounding [101.35070661471124]
  We show that unobserved confounding leaves a characteristic footprint in the observed data distribution that allows for disentangling spurious and causal effects. We propose an adjusted score-based causal discovery algorithm that may be implemented with general-purpose solvers and scales to high-dimensional problems.
  arXiv  Detail & Related papers  (2021-03-28T11:07:59Z)
• Uncover quantumness in the crossover from BEC to quantum-correlated phase [0.0]
  We examine the role of the quantum entanglement of an assembly of two-level emitters coupled to a single-mode cavity. This allows us to characterise the quantum correlated state for each regime.
  arXiv  Detail & Related papers  (2021-01-18T05:06:59Z)

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.