Quantum Phase Transitions in Coherent Ising Machines: XY Model for Demonstration

• URL: http://arxiv.org/abs/2512.23248v1
• Date: Mon, 29 Dec 2025 07:10:15 GMT
• Title: Quantum Phase Transitions in Coherent Ising Machines: XY Model for Demonstration
• Authors: Jing-Yi-Ran Jin, Shuang-Quan Ma, Qing Ai,
• Abstract summary: Quantum phase transitions (QPTs) in coherent Ising machines (CIMs) are studied via a spectral mapping.<n> CIMs do not only serve as powerful platforms for solving optimization problems but also provide a versatile optical simulator for studying universal quantum critical phenomena.
• Score: 0.5735035463793009
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Quantum phase transitions (QPTs) in coherent Ising machines (CIMs) are studied via a spectral mapping between the one-dimensional XY spin model and a network of degenerate optical parametric oscillators (DOPOs). This exact correspondence reveals that the DOPO network faithfully reproduces the quantum critical behavior of the XY model across its anisotropic, isotropic, and transverse-field Ising regimes. The ground-state energy density and its derivatives are analyzed to reveal second-order QPTs characterized by singularities in magnetic susceptibility at critical points. These results show that CIMs do not only serve as powerful platforms for solving combinatorial optimization problems but also provide a versatile optical simulator for studying universal quantum critical phenomena, bridging quantum-spin models and photonic quantum systems.

Related papers

• Modeling of Far-Field Quantum Coherence by Dielectric Bodies Based on the Volume Integral Equation Method [7.301530700055423]
  Hong-Ou-Mandel (HOM) effect is a hallmark of nonclassical photon interference.<n>No efficient numerical framework directly links classical electromagnetic quantities to quantum correlation functions.<n>We present a unified theoretical and computational framework for evaluating far-field HOM interference.
  arXiv  Detail & Related papers  (2025-08-22T15:39:49Z)
• Photon-mediated interactions and dynamics of coherently driven quantum emitters in complex photonic environments [41.94295877935867]
  Born-Markov master equations have been extensively employed in the description of quantum optical phenomena.<n>We benchmark this modeling approach for the quantum dynamics of the emitter pair against exact calculations based on a macroscopic field quantization formalism.<n>Our analysis reveals four distinct regimes of laser driving and frequency splitting that lead to markedly different levels of accuracy in the effective model.
  arXiv  Detail & Related papers  (2025-08-01T09:38:07Z)
• Probing Hadron Scattering in Lattice Gauge Theories on Qudit Quantum Computers [0.5420492913071214]
  We propose experimentally feasible digital qudit quantum circuits for far-from-equilibrium quench dynamics of a $mathrmU(1)$ quantum link lattice gauge theory.<n>We probe scattering processes in this model on these proposed circuits, focusing on meson-meson and meson-antimeson collisions.<n>Our simulations, which include realistic noise models of dephasing and depolarization, show very good agreement with the exact noiseless dynamics.
  arXiv  Detail & Related papers  (2025-07-16T20:15:36Z)
• Hybrid quantum lattice model: Polaritons, photons, and spin waves propagation [0.0]
  Controlling the propagation of quantum excitations in low-dimensional systems is pivotal for quantum technologies.<n>We propose a one-dimensional hybrid quantum lattice model, where each lattice unit integrates a single-mode resonator that interacts with a two-level system.<n>This configuration enables the coherent propagation of polaritons, spin waves, and photons, depending on the interplay between light-matter coupling and qubit-qubit interactions.
  arXiv  Detail & Related papers  (2025-07-16T15:12:25Z)
• Variational Quantum Simulation of the Interacting Schwinger Model on a Trapped-Ion Quantum Processor [26.47874938214435]
  In this work, we explore the multi-flavor lattice Schwinger model - a toy model inspired by quantum chromodynamics.<n>We employ a parametric quantum circuit executed on our quantum processor to identify ground states in different parameter regimes of the model.<n>The resulting states are analyzed via quantum state tomography, to reveal how characteristic properties such as correlations in the output state change.
  arXiv  Detail & Related papers  (2025-04-29T14:43:57Z)
• Robust Simulations of Many-Body Symmetry-Protected Topological Phase Transitions on a Quantum Processor [7.515748475237134]
  Topology and symmetry play critical roles in characterizing quantum phases of matter.<n>Recent advancements have unveiled symmetry-protected topological (SPT) phases in many-body systems.<n>We demonstrate the robust simulation of many-body ground states of an Ising-cluster model on a quantum computer.
  arXiv  Detail & Related papers  (2025-03-11T18:00:02Z)
• 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)
• Probing Confinement Through Dynamical Quantum Phase Transitions: From Quantum Spin Models to Lattice Gauge Theories [0.0]
  We show that a change in the type of dynamical quantum phase transitions accompanies the confinement-deconfinement transition. Our conclusions can be tested in modern quantum-simulation platforms, such as ion-trap setups and cold-atom experiments of gauge theories.
  arXiv  Detail & Related papers  (2023-10-18T18:00:04Z)
• Highly resolved spectral functions of two-dimensional systems with neural quantum states [0.0]
  We develop a versatile approach using neural quantum states to obtain spectral properties based on simulations of excitations initially localized in real or momentum space. Our approach is broadly applicable to interacting quantum lattice models in two dimensions and opens up a route to compute spectral properties of correlated quantum matter in yet inaccessible regimes.
  arXiv  Detail & Related papers  (2023-03-14T19:00:27Z)
• Calculating non-linear response functions for multi-dimensional electronic spectroscopy using dyadic non-Markovian quantum state diffusion [68.8204255655161]
  We present a methodology for simulating multi-dimensional electronic spectra of molecular aggregates with coupling electronic excitation to a structured environment. A crucial aspect of our approach is that we propagate the NMQSD equation in a doubled system Hilbert space but with the same noise.
  arXiv  Detail & Related papers  (2022-07-06T15:30:38Z)
• Tunable photon-mediated interactions between spin-1 systems [68.8204255655161]
  We show how to harness multi-level emitters with several optical transitions to engineer photon-mediated interactions between effective spin-1 systems. Our results expand the quantum simulation toolbox available in cavity QED and quantum nanophotonic setups.
  arXiv  Detail & Related papers  (2022-06-03T14:52:34Z)
• Polariton Creation in Coupled Cavity Arrays with Spectrally Disordered Emitters [0.0]
  Integrated photonics has been a promising platform for analog quantum simulation of condensed matter phenomena in strongly correlated systems. We study energy band formation and wavefunction properties in the open quantum Tavis-Cummings-Hubbard framework. New metrics combined with the Effective Hamiltonian approach prove to be a powerful toolbox for cavity quantum electrodynamical engineering of solid-state systems.
  arXiv  Detail & Related papers  (2021-12-28T05:08:27Z)
• Stochastic Variational Approach to Small Atoms and Molecules Coupled to Quantum Field Modes [55.41644538483948]
  We present a variational calculation (SVM) of energies and wave functions of few particle systems coupled to quantum fields in cavity QED. Examples for a two-dimensional trion and confined electrons as well as for the He atom and the Hydrogen molecule are presented.
  arXiv  Detail & Related papers  (2021-08-25T13:40:42Z)
• Quantum Phases of Matter on a 256-Atom Programmable Quantum Simulator [41.74498230885008]
  We demonstrate a programmable quantum simulator based on deterministically prepared two-dimensional arrays of neutral atoms. We benchmark the system by creating and characterizing high-fidelity antiferromagnetically ordered states. We then create and study several new quantum phases that arise from the interplay between interactions and coherent laser excitation.
  arXiv  Detail & Related papers  (2020-12-22T19:00:04Z)

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.