Characterizing quantum criticality and steered coherence in the XY-Gamma chain

• URL: http://arxiv.org/abs/2206.03964v1
• Date: Wed, 8 Jun 2022 15:28:10 GMT
• Title: Characterizing quantum criticality and steered coherence in the XY-Gamma chain
• Authors: Zhuan Zhao, Tian-Cheng Yi, Ming Xue, and Wen-Long You
• Abstract summary: We analytically solve the one-dimensional short-range interacting case with the Jordan-Wigner transformation. In the gapless phase, an incommensurate spiral order is manifested by the vector-chiral correlations. We derive explicit scaling forms of the excitation gap near the quantum critical points.
• Score: 0.37498611358320727
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: In this paper, we show that an effective spin Hamiltonian with various types of couplings can be engineered using quantum simulators in atomic-molecular-optical laboratories, dubbed the \emph{XY}-Gamma model. We analytically solve the one-dimensional short-range interacting case with the Jordan-Wigner transformation and establish the phase diagram. In the gapless phase, an incommensurate spiral order is manifested by the vector-chiral correlations. Between distinct gapped phases, a logarithmic scaling behavior of local measures, including spin correlations and the steered quantum coherence, is identified for the quantum critical points, yielding a compelling value of the correlation-length critical exponent. We derive explicit scaling forms of the excitation gap near the quantum critical points. The extracted critical exponents reveal the quantum phase transition on the boundary of Tomonaga-Luttinger liquid belongs to Lifshitz universality class.Our results may provide useful insights into the underlying mechanism in quantum criticality for state-of-the-art experiments of quantum simulation.

Related papers

• 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)
• Kibble-Zurek mechanism and errors of gapped quantum phases [0.25602836891933073]
  Kibble-Zurek mechanism relates the domain of non-equilibrium dynamics with the critical properties at equilibrium. We present a novel numerical scheme to estimate the scaling exponent wherein the notion of defects is mapped to errors.
  arXiv  Detail & Related papers  (2024-01-24T17:57:27Z)
• Critical quantum geometric tensors of parametrically-driven nonlinear resonators [5.743814444071535]
  Parametrically driven nonlinear resonators represent building block for realizing fault-tolerant quantum computation. Critical phenomena can occur without interaction with any other quantum system. This work reveals that the quantum metric and Berry curvature display diverging behaviors across the quantum phase transition.
  arXiv  Detail & Related papers  (2023-12-22T03:31:58Z)
• 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)
• Dipolar quantum solids emerging in a Hubbard quantum simulator [45.82143101967126]
  Long-range and anisotropic interactions promote rich spatial structure in quantum mechanical many-body systems. We show that novel strongly correlated quantum phases can be realized using long-range dipolar interaction in optical lattices. This work opens the door to quantum simulations of a wide range of lattice models with long-range and anisotropic interactions.
  arXiv  Detail & Related papers  (2023-06-01T16:49:20Z)
• 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)
• Geometric phases along quantum trajectories [58.720142291102135]
  We study the distribution function of geometric phases in monitored quantum systems. For the single trajectory exhibiting no quantum jumps, a topological transition in the phase acquired after a cycle. For the same parameters, the density matrix does not show any interference.
  arXiv  Detail & Related papers  (2023-01-10T22:05:18Z)
• Quantum and classical correlations in open quantum-spin lattices via truncated-cumulant trajectories [0.0]
  We show a new method to treat open quantum-spin lattices, based on the solution of the open-system dynamics. We validate this approach in the paradigmatic case of the phase transitions of the dissipative 2D XYZ lattice, subject to spontaneous decay.
  arXiv  Detail & Related papers  (2022-09-27T13:23:38Z)
• Probing critical behavior of long-range transverse-field Ising model through quantum Kibble-Zurek mechanism [0.20366111013063795]
  We report the quantum simulation of a long-range transverse-field Ising model using up to 61 ions. We realize the same model for increasing ion numbers, so as to extract a critical exponent free of the finite size effect. For the ferro-magnetic interaction, our experimental result agrees well with the previous numerical predictions.
  arXiv  Detail & Related papers  (2022-08-05T09:31:40Z)
• Tuning long-range fermion-mediated interactions in cold-atom quantum simulators [68.8204255655161]
  Engineering long-range interactions in cold-atom quantum simulators can lead to exotic quantum many-body behavior. Here, we propose several tuning knobs, accessible in current experimental platforms, that allow to further control the range and shape of the mediated interactions.
  arXiv  Detail & Related papers  (2022-03-31T13:32:12Z)
• 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.