Magnetic Phases of Spatially-Modulated Spin-1 Chains in Rydberg Excitons: Classical and Quantum Simulations

Abstract

In this work, we study the magnetic phases of a spatially-modulated chain of spin-1 Rydberg excitons. Using the Density Matrix Renormalization Group (DMRG) technique we study various magnetic and topologically nontrivial phases using both single-particle properties like local magnetization and quantum entropy as well as many-body ones like pair-wise Néel and long-range string correlations. In particular, we investigate the emergence and robustness of Haldane phase, a topological phase of anti-ferromagnetic spin-1 chains. Further, we devise a hybrid quantum algorithm employing Restricted Boltzmann Machine to simulate the ground state of such a system which shows very good agreement with the results of exact diagonalization (ED) and DMRG.

References in corpus (60)

• Adam: A Method for Stochastic Optimization
• Quantum Machine Learning
• The density-matrix renormalization group in the age of matrix product states
• Quantum Simulation
• Experimental realisation of the topological Haldane model
• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• Machine learning phases of matter
• The ITensor Software Library for Tensor Network Calculations
• Quantum Phases of Matter on a 256-Atom Programmable Quantum Simulator
• A high-bias, low-variance introduction to Machine Learning for physicists
• Quantum Simulation of Antiferromagnetic Spin Chains in an Optical Lattice
• A Rydberg Quantum Simulator
• Many-body quantum state tomography with neural networks
• Realizing quantum Ising models in tunable two-dimensional arrays of single Rydberg atoms
• Programmable quantum simulation of 2D antiferromagnets with hundreds of Rydberg atoms
• Quantum simulation of frustrated magnetism in triangular optical lattices
• Quantum machine learning: a classical perspective
• Variational Quantum Computation of Excited States
• Quantum Entanglement in Neural Network States
• Short-range quantum magnetism of ultracold fermions in an optical lattice
• Studying Two Dimensional Systems With the Density Matrix Renormalization Group
• Giant Rydberg Excitons in Cuprous Oxide
• Restricted-Boltzmann-Machine Learning for Solving Strongly Correlated Quantum Systems
• The Density Matrix Renormalization Group in Chemistry and Molecular Physics: Recent Developments and New Challenges
• Matrix-product-groundstates for one-dimensional spin-1 quantum antiferromagnets
• An Aharonov-Bohm interferometer for determining Bloch band topology
• Learning Thermodynamics with Boltzmann Machines
• Machine Learning Phases of Strongly Correlated Fermions
• Ground State Phase Diagram of S=1 XXZ Chains with Uniaxial Single-Ion-Type Anisotropy
• Fermionic neural-network states for ab-initio electronic structure
• Far-from-equilibrium spin transport in Heisenberg quantum magnets
• End states, ladder compounds, and domain wall fermions
• Quantum Machine Learning for Chemistry and Physics
• Quantum Machine Learning for Electronic Structure Calculations
• Realising the Symmetry-Protected Haldane Phase in Fermi-Hubbard Ladders
• Quantum Solver of Contracted Eigenvalue Equations for Scalable Molecular Simulations on Quantum Computing Devices
• Magnetic Excitations in the Spin-1 Anisotropic Heisenberg Antiferromagnetic Chain System NiCl${}_2$-4SC(NH${}_2$)${}_2$
• Generalized spin mapping for quantum-classical dynamics
• Restricted Boltzmann Machines for Quantum States with Nonabelian or Anyonic Symmetries
• Nature of Many-Body Localization and Transitions by Density Matrix Renormaliztion Group and Exact Diagonalization Studies
• Density matrix renormalization group approach for many-body open quantum systems
• A quantum algorithm to train neural networks using low-depth circuits
• Quantum Simulation of the Bosonic Creutz Ladder with a Parametric Cavity
• Training and Classification using a Restricted Boltzmann Machine on the D-Wave 2000Q
• 2D Superexchange mediated magnetization dynamics in an optical lattice
• Lattice gauge fields via modulation in circuit QED: The bosonic Creutz ladder
• Quantum Machine-Learning for Eigenstate Filtration in Two-Dimensional Materials
• Imaginary components of out-of-time correlators and information scrambling for navigating the learning landscape of a quantum machine learning model
• Quantum phase transitions driven by rhombic-type single-ion anisotropy in the S=1 Haldane chain
• Preparation of an Exciton Condensate of Photons on a 53-Qubit Quantum Computer
• A Neural-Network Variational Quantum Algorithm for Many-Body Dynamics
• Realizing the Haldane Phase with Bosons in Optical Lattices
• Many-body calculations for periodic materials via quantum machine learning
• Topological spin phases of trapped Rydberg excitons in Cu${}_2$O
• Waveguides for Rydberg excitons in Cu${}_{\text{2}}$O from strain traps
• Emergence of Long Period Antiferromagnetic Orders from Haldane Phase in S=1 Heisenberg Chains with D-Modulation
• Performance of the rigorous renormalization group for first order phase transitions and topological phases
• Polarized edge state emission from topological spin phases of trapped Rydberg excitons in Cu${}_2$O
• Quantum Simulation of Quantum Phase Transitions Using the Convex Geometry of Reduced Density Matrices
• Quantum Phase Transitions in a Model Hamiltonian Exhibiting Entangled Simultaneous Fermion-Pair and Exciton Condensations

Cited by in corpus (4)

• Imaginary components of out-of-time correlators and information scrambling for navigating the learning landscape of a quantum machine learning model
• Refined Phase Diagram for a Spin-1 System Exhibiting a Haldane Phase
• Random Projection using Random Quantum Circuits
• Analogy between Boltzmann machines and Feynman path integrals