Exact local correlations in kicked chains at light cone edges

Abstract

We show that local correlators in a wide class of kicked chains can be calculated exactly at light cone edges. Extending previous works on dual-unitary systems, the correlators between local operators are expressed through the expectation values of transfer matrices $T$ with small dimensions. Contrary to the previous studies, our results are not restricted to dual-unitary systems with spatial-temporal symmetry of the dynamics. They hold for a generic case without fine tuning of model parameters. The results are exemplified on the kicked Ising spin chain model, where we provide an explicit formula for two-point correlators near light cone edges beyond the dual-unitary regime.

arXiv comment11 pages, 4 figures. arXiv admin note: substantial text overlap with arXiv:2001.01298

References in corpus (31)

• Many-Body Physics with Ultracold Gases
• Localization of interacting fermions at high temperature
• Observation of many-body localization of interacting fermions in a quasi-random optical lattice
• The distribution of the ratio of consecutive level spacings in random matrix ensembles
• Quantum Simulation of Antiferromagnetic Spin Chains in an Optical Lattice
• Many-body localization in periodically driven systems
• Exact Spectral Form Factor in a Minimal Model of Many-Body Quantum Chaos
• Exact Correlation Functions for Dual-Unitary Lattice Models in 1+1 Dimensions
• Exact dynamics in dual-unitary quantum circuits
• Entanglement spreading in a minimal model of maximal many-body quantum chaos
• Unitary circuits of finite depth and infinite width from quantum channels
• Absolutely Maximally Entangled states, combinatorial designs and multi-unitary matrices
• The entanglement membrane in chaotic many-body systems
• Operator Entanglement in Local Quantum Circuits I: Chaotic Dual-Unitary Circuits
• Particle-Time Duality in the Kicked Ising Chain II: Applications to the Spectrum
• Particle-Time Duality in the Kicked Ising Chain I: The Dual Operator
• Maximum velocity quantum circuits
• Spectra and eigenstates of spin chain Hamiltonians
• Coherent Backscattering in Fock Space: a Signature of Quantum Many-Body Interference in Interacting Bosonic Systems
• Creating ensembles of dual unitary and maximally entangling quantum evolutions
• Kardar-Parisi-Zhang physics in integrable rotationally symmetric dynamics on discrete space-time lattice
• Entangling power of time-evolution operators in integrable and nonintegrable many-body systems
• Spectral statistics of chaotic many-body systems
• Semiclassical Identification of Periodic Orbits in a Quantum Many-Body System
• Transition from Quantum Chaos to Localization in Spin Chains
• Lagrangian and Hamiltonian structures in an integrable hierarchy and space-time duality
• On Properties of the Ising Model for Complex Energy/Temperature and Magnetic Field
• Classical foundations of many-particle quantum chaos
• Quenches near criticality of the quantum Ising chain---power and limitations of the discrete truncated Wigner approximation
• Semiclassical Prediction of Large Spectral Fluctuations in Interacting Kicked Spin Chains
• Local correlations in dual-unitary kicked chains

Cited by in corpus (28)

• Influence matrix approach to many-body Floquet dynamics
• From dual-unitary to quantum Bernoulli circuits: Role of the entangling power in constructing a quantum ergodic hierarchy
• Temporal entanglement, quasiparticles and the role of interactions
• Computational power of one- and two-dimensional dual-unitary quantum circuits
• Thirty-six entangled officers of Euler: Quantum solution to a classically impossible problem
• Construction and the ergodicity properties of dual unitary quantum circuits
• Exact dynamics in dual-unitary quantum circuits with projective measurements
• Construction and local equivalence of dual-unitary operators: from dynamical maps to quantum combinatorial designs
• Hierarchical generalization of dual unitarity
• Circuits of space and time quantum channels
• The entanglement membrane in exactly solvable lattice models
• From dual-unitary to biunitary: a 2-categorical model for exactly-solvable many-body quantum dynamics
• Operator dynamics and entanglement in space-time dual Hadamard lattices
• Exactly solvable many-body dynamics from space-time duality
• Boundary Chaos
• Operator dynamics in Floquet many-body systems
• Eigenstate Correlations in Dual-Unitary Quantum Circuits: Partial Spectral Form Factor
• Temporal Entanglement Barriers in Dual-Unitary Clifford Circuits with Measurements
• Dual unitaries as maximizers of the distance to local product gates
• Construction of perfect tensors using biunimodular vectors
• Exact Correlation Functions for Dual-Unitary Quantum circuits with exceptional points
• Efficient post-selection in light-cone correlations of monitored quantum circuits
• Solvable Quantum Circuits in Tree+1 Dimensions
• Geometric constructions of generalized dual-unitary circuits from biunitarity
• Localization in the Kicked Ising Chain
• Partial projected ensembles and spatiotemporal structure of information scrambling
• Emergent quantum state designs and biunitarity in dual-unitary circuit dynamics
• Logarithmic growth of operator entanglement in a clean non-integrable circuit