Diagnosing First and Second Order Phase Transitions with Probes of Quantum Chaos

• URL: http://arxiv.org/abs/2010.07478v2
• Date: Thu, 22 Oct 2020 00:45:32 GMT
• Title: Diagnosing First and Second Order Phase Transitions with Probes of Quantum Chaos
• Abstract summary: We explore quantum phase transitions using two probes of quantum chaos: out-of-time-order correlators (OTOCs) and the $r$- parameter.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We explore quantum phase transitions using two probes of quantum chaos: out-of-time-order correlators (OTOCs) and the $r$-parameter obtained from the level spacing statistics. In particular, we address $p$-spin models associated with quantum annealing or reverse annealing. Quantum annealing triggers first-order or second-order phase transitions, which is crucial for the performance of quantum devices. We find that the time-averaging OTOCs for the ground state and the average $r$-parameter change behavior around the corresponding transition points, diagnosing the phase transition. Furthermore, they can identify the order (first or second) of the phase transition by their behavior at the quantum transition point, which changes abruptly (smoothly) in the case of first-order (second-order) phase transitions.

Related papers

• Quantum phase transitions of the Cavity Heisenberg spin-chain [0.0]
  We investigate ground-state quantum phase transitions (QPTs) and excited-state quantum phase transitions (ESQPTs)<n>Our results provide a general framework for characterizing phase structures and spectral features in light-matter quantum many-body systems.
  arXiv  Detail & Related papers  (2026-09-01T14:51:11Z)
• Variational simulation of quantum phase transitions induced by boundary fields [0.0]
  We use digital quantum simulation as a resource to theoretically and experimentally study quantum phase transitions.<n>We implement the variational quantum eigensolver (VQE) algorithm to the one-dimensional spin-$1/2$ transverse-field Ising chain.<n>For different regions of the phase diagram, the quantum algorithm allows us to predict the critical value of the magnetic fields responsible for either the first or second-order transitions occuring in the system.
  arXiv  Detail & Related papers  (2025-06-25T22:42:07Z)
• Topological Phase Transitions and Mixed State Order in a Hubbard Quantum Simulator [36.556659404501914]
  Topological phase transitions challenge conventional paradigms in many-body physics.<n>We observe such a transition between one-dimensional crystalline symmetry-protected topological phases.<n>Our results demonstrate how topology and information influence quantum phase transitions.
  arXiv  Detail & Related papers  (2025-05-22T17:58:35Z)
• Phase transitions, symmetries, and tunneling in Kerr parametric oscillators [37.69303106863453]
  We study the onset of ground-state and excited-state quantum phase transitions in KPOs. We identify the critical points associated with quantum phase transitions and analyze their influence on the energy spectrum and tunneling dynamics. Our findings provide insights into the engineering of robust quantum states, quantum dynamics control, and onset of quantum phase transitions with implications for critical quantum sensing.
  arXiv  Detail & Related papers  (2025-04-21T18:00:19Z)
• Acoustic phonon phase gates with number-resolving phonon detection [36.29277627484587]
  Itinerant phonons in quantum acoustics, combined with superconducting qubits, offer a compelling alternative to the quantum optics approach. We implement phonon phase control using the frequency-dependent scattering of phonon states from a superconducting transmon qubit. The acoustic interferometer used to measure the resulting phonon phase achieves a noise-floor-limited Hong-Ou-Mandel interference visibility of 98.1%.
  arXiv  Detail & Related papers  (2025-03-05T20:56:35Z)
• Thermalization and Criticality on an Analog-Digital Quantum Simulator [133.58336306417294]
  We present a quantum simulator comprising 69 superconducting qubits which supports both universal quantum gates and high-fidelity analog evolution. We observe signatures of the classical Kosterlitz-Thouless phase transition, as well as strong deviations from Kibble-Zurek scaling predictions. We digitally prepare the system in pairwise-entangled dimer states and image the transport of energy and vorticity during thermalization.
  arXiv  Detail & Related papers  (2024-05-27T17:40:39Z)
• 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)
• Diagnosing Quantum Phases Using Long-Range Two-Site Quantum Resource Behaviors [0.16777183511743465]
  We show that the behaviors of long-range, two-site quantum resources can effectively diagnose quantum phases. In particular, we discover the quantum resource freezing phenomenon, where topologically protected long-range quantum resources may have potential applications in quantum information processing.
  arXiv  Detail & Related papers  (2023-11-08T08:00:32Z)
• Multipartite Entanglement in the Measurement-Induced Phase Transition of the Quantum Ising Chain [77.34726150561087]
  External monitoring of quantum many-body systems can give rise to a measurement-induced phase transition. We show that this transition extends beyond bipartite correlations to multipartite entanglement.
  arXiv  Detail & Related papers  (2023-02-13T15:54:11Z)
• Dynamical quantum phase transitions in a spinor Bose-Einstein condensate and criticality enhanced quantum sensing [2.3046646540823916]
  Quantum phase transitions universally exist in the ground and excited states of quantum many-body systems. We unravel that both the ground and excited-state quantum phase transitions in spinor condensates can be diagnosed with dynamical phase transitions. This work advances the exploration of excited-state quantum phase transitions via a scheme that can immediately be applied to a broad class of few-mode quantum systems.
  arXiv  Detail & Related papers  (2022-09-23T05:27:17Z)
• Continuous phase transition induced by non-Hermiticity in the quantum contact process model [44.58985907089892]
  How the property of quantum many-body system especially the phase transition will be affected by the non-hermiticity remains unclear. We show that there is a continuous phase transition induced by the non-hermiticity in QCP. We observe that the order parameter and susceptibility display infinitely even for finite size system, since non-hermiticity endows universality many-body system with different singular behaviour from classical phase transition.
  arXiv  Detail & Related papers  (2022-09-22T01:11:28Z)
• Quantum Simulation of Quantum Phase Transitions Using the Convex Geometry of Reduced Density Matrices [0.0]
  We present a general quantum-computing approach to quantum phase transitions. The origin of phase transitions can be understood geometrically in terms of the set of two-particle reduced density matrices (2-RDMs) We compute the convex set of 2-RDMs for a Lipkin-Meshkov-Glick spin model on IBM superconducting-qubit quantum processors.
  arXiv  Detail & Related papers  (2022-07-27T00:30:33Z)
• Observation of critical phase transition in a generalized Aubry-Andr\'e-Harper model on a superconducting quantum processor with tunable couplers [22.968091212322523]
  Quantum simulation enables study of many-body systems in non-equilibrium. We simulate the one-dimensional generalized Aubry-Andr'e-Harper model for three different phases. We observe the spin transport for initial single- and multi-excitation states in different phases.
  arXiv  Detail & Related papers  (2022-06-27T08:22:19Z)
• 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)
• Experimental Adiabatic Quantum Metrology with the Heisenberg scaling [21.42706958416718]
  We propose an adiabatic scheme on a perturbed Ising spin model with the first order quantum phase transition. We experimentally implement the adiabatic scheme on the nuclear magnetic resonance and show that the achieved precision attains the Heisenberg scaling.
  arXiv  Detail & Related papers  (2021-02-14T03:08:54Z)
• 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.