Exactly solvable dynamics and signatures of integrability in an infinite-range many-body Floquet spin system
arXiv:2307.14122 · doi:10.1103/PhysRevB.109.014412
Abstract
We study qubits having infinite-range Ising interaction and subjected to periodic pulse of external magnetic field. We solve the cases of to qubits analytically, finding its eigensystem, the dynamics of the entanglement for various initial states, and the unitary evolution operator. These quantities shows signatures of quantum integrability. For the general case of qubits, we provide a conjecture on quantum integrability based on the numerical evidences like degenerate spectrum, and the exact periodic nature of the time-evolved unitary evolution operator and the entanglement dynamics. Using linear entropy we show that for class of initial unentangled state the entanglement displays periodically maximum and zero values.
arXiv comment5 pages (two-column) + 26 pages (one-column) + 3 figures. This is a substantially improved version of the previous manuscript, arXiv:2307.14122v1 [quant-ph]. There, we wrongly claimed that the semiclassical limit exists for k=j*pi. In the revised manuscript, the results are interpreted as a spin chain, and it does not have a semiclassical limit. This version is now accepted in Physical Review B
References in corpus (86)
- Entanglement of Formation of an Arbitrary State of Two Qubits
- Quantum information with Rydberg atoms
- Entanglement of a Pair of Quantum Bits
- Persistent entanglement in arrays of interacting particles
- The Dicke Quantum Phase Transition with a Superfluid Gas in an Optical Cavity
- The physics of dipolar bosonic quantum gases
- The distribution of the ratio of consecutive level spacings in random matrix ensembles
- Statistical mechanics and dynamics of solvable models with long-range interactions
- Engineered 2D Ising interactions on a trapped-ion quantum simulator with hundreds of spins
- Realizing a lattice spin model with polar molecules
- Observation of entanglement propagation in a quantum many-body system
- Programmable Quantum Simulations of Spin Systems with Trapped Ions
- Non-local propagation of correlations in long-range interacting quantum systems
- Measuring out-of-time-order correlations and multiple quantum spectra in a trapped ion quantum magnet
- Observation of mesoscopic crystalline structures in a two-dimensional Rydberg gas
- Quantum many-body models with cold atoms coupled to photonic crystals
- Three-dimensional Roton-Excitations and Supersolid formation in Rydberg-excited Bose-Einstein Condensates
- Measuring the scrambling of quantum information
- Dipolar physics: A review of experiments with magnetic quantum gases
- Many-body interferometry of a Rydberg-dressed spin lattice
- Ergodic dynamics and thermalization in an isolated quantum system
- Long-range interacting quantum systems
- Remarks on the notion of quantum integrability
- Non-equilibrium quantum magnetism in a dipolar lattice gas
- Scrambling and entanglement spreading in long-range spin chains
- Many-body dynamics of dipolar molecules in an optical lattice
- Entanglement spreading in a minimal model of maximal many-body quantum chaos
- Entanglement as a signature of quantum chaos
- Measurement-induced dark state phase transitions in long-ranged fermion systems
- Algebraic Aspects of Bethe-Ansatz
- Fate of measurement-induced phase transition in long-range interactions
- Continuous symmetry breaking and a new universality class in 1D long-range interacting quantum systems
- Entanglement in spin chains and lattices with long-range Ising-type interactions
- Quantum chaos: an introduction via chains of interacting spins-1/2
- Anomalous Behavior of Spin Systems with Dipolar Interactions
- Diverging equilibration times in long-range quantum spin models
- Linear entropy as an entanglement measure in two-fermion systems
- Bridging entanglement dynamics and chaos in semiclassical systems
- Entanglement production in coupled chaotic systems : Case of the Kicked Tops
- Digital Quantum Simulation, Trotter Errors, and Quantum Chaos of the Kicked Top
- Chaos, entanglement and decoherence in the quantum kicked top
- Multipartite Entanglement in a One-Dimensional Time Dependent Ising Model
- Kaleidoscope of quantum phases in a long-range interacting spin-1 chain
- Fast State Transfer and Entanglement Renormalization Using Long-Range Interactions
- Minimal Model for Fast Scrambling
- Entangling power of time-evolution operators in integrable and nonintegrable many-body systems
- Entanglement and chaos in the kicked top
- Quantum Communication in Spin Systems With Long-Range Interactions
- Quantum chaos and entanglement in ergodic and non-ergodic systems
- Long-range multi-body interactions and three-body anti-blockade in a trapped Rydberg ion chain
- Integrable and chaotic dynamics of spins coupled to an optical cavity
- NMR studies of quantum chaos in a two-qubit kicked top
- Quantum integrability in systems with finite number of levels
- Entanglement and its relationship to classical dynamics
- Signatures of chaos in the dynamics of quantum discord
- Quantum heat engine with long-range advantages
- Fast scrambling without appealing to holographic duality
- Bound on quantum scrambling with all-to-all interactions
- The Link between Integrability, Level Crossings, and Exact Solution in Quantum Models
- Untangling entanglement and chaos
- Periodicity of quantum correlations in the quantum kicked top
- Quantum correlations as probes of chaos and ergodicity
- Generalized Higgs mechanism in long-range interacting quantum systems
- Nonlinear dynamics and quantum chaos of a family of kicked -spin models
- Quantum chaos, thermalization and tunneling in an exactly solvable few body system
- Quantum signatures of chaos, thermalization and tunneling in the exactly solvable few body kicked top
- Quantum-classical correspondence in the vicinity of periodic orbits
- Signatures of bifurcation on quantum correlations: Case of the quantum kicked top
- Exact solution of the infinite-range dissipative transverse-field Ising model
- Protocol using kicked Ising dynamics for generating states with maximal multipartite entanglement
- Introduction to Quantum Integrability
- Entanglement entropy in a periodically driven quantum Ising chain
- Long-range-ordered phase in a quantum Heisenberg chain with interactions beyond nearest neighbors
- Controlled generation of genuine multipartite entanglement in Floquet Ising spin models
- Ion Trap Long-Range XY Model for Quantum State Transfer and Optimal Spatial Search
- Entanglement and quantum state geometry of spin system with all-range Ising-type interaction
- Witnessing quantum chaos using observational entropy
- Comment on "Entanglement and chaos in the kicked top"
- Geometrical, topological and dynamical description of interacting spin- under long-range Ising model and their interplay with quantum entanglement
- Characteristic, dynamic, and near saturation regions of Out-of-time-order correlation in Floquet Ising models
- Ordering Dynamics of the Random Field Long-range Ising Model in One Dimension
- Exact solution for quantum strong long-range models via a generalized Hubbard-Stratonovich transformation
- Information Scrambling and the Correspondence of Entanglement- and Operator Dynamics in Systems with Nonlocal Interactions
- Entanglement transitions in random definite particle states
- Fast scrambling dynamics and many-body localization transition in an all-to-all disordered quantum spin model
- Multiple transitions in an infinite range p-spin random-crystal field Blume Capel model
Cited by in corpus (5)
- Protecting Quantum Information via Many-Body Dynamical Localization
- Signatures of Integrability and Exactly Solvable Dynamics in an Infinite-Range Many-Body Floquet Spin System
- Study of double kicked top: a classical and quantum perspective
- Exact Solvability Of Entanglement For Arbitrary Initial State in an Infinite-Range Floquet System
- Floquet Recurrences in the Double Kicked Top