Almost complete revivals in quantum many-body systems
arXiv:2011.02848 · doi:10.1103/PhysRevA.104.L050202
Abstract
Revivals of initial non-equilibrium states is an ever-present concern for the theory of dynamic thermalization in many-body quantum systems. Here we consider a nonintegrable lattice of interacting spins 1/2 and show how to construct a quantum state such that a given spin 1/2 is maximally polarized initially and then exhibits an almost complete recovery of the initial polarization at a predetermined moment of time. An experimental observation of such revivals may be utilized to benchmark quantum simulators with a measurement of only one local observable. We further propose to utilize these revivals for a delayed disclosure of a secret.
arXiv comment5 pages, 3 figures
References in corpus (24)
- Probing many-body dynamics on a 51-atom quantum simulator
- Many body localization and thermalization in quantum statistical mechanics
- The distribution of the ratio of consecutive level spacings in random matrix ensembles
- Quantum many-body scars
- Experimental Quantum State Tomography of Optical Fields and Ultrafast Statistical Sampling
- Unknown Quantum States and Operations, a Bayesian View
- Strong and weak thermalization of infinite non-integrable quantum systems
- Exact Quantum Many-Body Scar States in the Rydberg-Blockaded Atom Chain
- Quantum Many-Body Scar States with Emergent Kinetic Constraints and Finite-Entanglement Revivals
- Quantum Many-Body Scars in Optical Lattices
- Exact three-colored quantum scars from geometric frustration
- Quantum many-body scars from virtual entangled pairs
- On the time scales in the approach to equilibrium of macroscopic quantum systems
- Stabilizing two-dimensional quantum scars by deformation and synchronization
- Absence of exponential sensitivity to small perturbations in nonintegrable systems of spins 1/2
- Largest Lyapunov exponents for lattices of interacting classical spins
- Typical state of an isolated quantum system with fixed energy and unrestricted participation of eigenstates
- Prethermalization and dynamical transition in an isolated trapped ion spin chain
- Non-thermal statistics in isolated quantum spin clusters after a series of perturbations
- Mechanism of slow equilibration of isolated quantum systems
- Slow Nonthermalizing Dynamics in a Quantum Spin Glass
- Suppression of heating in quantum spin clusters under periodic driving as a dynamic localization effect
- Modern Concepts of Quantum Equilibration Do Not Rule Out Strange Relaxation Dynamics
- Large rare fluctuations in systems with delayed dissipation