Rydberg Atoms in a Ladder Geometry: Quench Dynamics and Floquet Engineering

Abstract

Rydberg atom quantum simulator platforms are novel quantum simulators for physical systems ranging from condensed matter to particle physics. In this paper, we study out-of-equilibrium quantum dynamics in a model of Rydberg atoms arranged in ladder geometries, with a semi-staggered detuning profile. As the staggering strength ($\Delta )$ is varied from $0\to \infty$, the model exhibits a wide class of dynamical phenomena, ranging from quantum many-body scars (QMBS) ($\Delta \sim 0,1$) to integrability induced slow dynamics and approximate Krylov fractures ($\Delta \ge 2$). We study the robustness of these dynamical features against inevitable influences from the environment in the form of pure dephasing and the finite lifetime of the Rydberg excited state. Additionally, by leveraging an underlying spectral reflection symmetry, we design Floquet protocols having dynamical signatures reminiscent of discrete-time-crystalline (DTC) order and exact Floquet flat bands, and study their stability under protocol imperfections. Finally we consider long-range van der Waals interactions and investigate the validity of the kinetic constraints in an out-of-equilibrium scenario.

Restructuring of the manuscript, updated title

References in corpus (69)

• SciPy 1.0--Fundamental Algorithms for Scientific Computing in Python
• Thermalization and its mechanism for generic isolated quantum systems
• Probing many-body dynamics on a 51-atom quantum simulator
• From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
• Localization of interacting fermions at high temperature
• Dipole Blockade and Quantum Information Processing in Mesoscopic Atomic Ensembles
• Fast quantum gates for neutral atoms
• Measuring entanglement entropy through the interference of quantum many-body twins
• Observation of a Discrete Time Crystal
• Many-Body Physics with Individually-Controlled Rydberg Atoms
• Observation of discrete time-crystalline order in a disordered dipolar many-body system
• Quantum many-body scars
• Quantum Phases of Matter on a 256-Atom Programmable Quantum Simulator
• Floquet Time Crystals
• On the phase structure of driven quantum systems
• Quantum trajectories and open many-body quantum systems
• A Rydberg Quantum Simulator
• Probing Topological Spin Liquids on a Programmable Quantum Simulator
• Realizing quantum Ising models in tunable two-dimensional arrays of single Rydberg atoms
• Programmable quantum simulation of 2D antiferromagnets with hundreds of Rydberg atoms
• On the quantum, classical and total amount of correlations in a quantum state
• Discrete time crystals: rigidity, criticality, and realizations
• Eigenstate Thermalization Hypothesis
• The approach to thermal equilibrium in quantized chaotic systems
• Experimental realization of a symmetry protected topological phase of interacting bosons with Rydberg atoms
• Observation of mesoscopic crystalline structures in a two-dimensional Rydberg gas
• Quantum Kibble-Zurek mechanism and critical dynamics on a programmable Rydberg simulator
• Artificial flat band systems: from lattice models to experiments
• Localization from Hilbert space shattering: from theory to physical realizations
• Computational Studies of Quantum Spin Systems
• Time crystals: a review
• Local constraints can globally shatter Hilbert space: a new route to quantum information protection
• Quantum scarred eigenstates in a Rydberg atom chain: entanglement, breakdown of thermalization, and stability to perturbations
• Entanglement versus Correlations in Spin Systems
• Controlling many-body dynamics with driven quantum scars in Rydberg atom arrays
• Absolute Stability and Spatiotemporal Long-Range Order in Floquet systems
• Lattice gauge theories and string dynamics in Rydberg atom quantum simulators
• Competing density-wave orders in a one-dimensional hard-boson model
• Mott insulators in strong electric fields
• Colloquium: Quantum and Classical Discrete Time Crystals
• Cold atom simulation of interacting relativistic quantum field theories
• Adiabatic eigenstate deformations as a sensitive probe for quantum chaos
• Erasure conversion in a high-fidelity Rydberg quantum simulator
• Preparation of entangled and antiferromagnetic states by dissipative Rydberg pumping
• Towards quantum simulation with circular Rydberg atoms
• Emerging 2D Gauge theories in Rydberg configurable arrays
• Realizing Su-Schrieffer-Heeger topological edge states in Rydberg-atom synthetic dimensions
• Quantum Many-Body Scar States in Two-Dimensional Rydberg Atom Arrays
• Complex density wave orders and quantum phase transitions in a model of square-lattice Rydberg atom arrays
• Stable Quantum-Correlated Many Body States through Engineered Dissipation
• Discrete time-crystalline order enabled by quantum many-body scars: entanglement steering via periodic driving
• A dual-species Rydberg array
• Many-Body Spectral Reflection Symmetry and Protected Infinite-Temperature Degeneracy
• Fast Preparation and Detection of a Rydberg Qubit using Atomic Ensembles
• Simulating 2D lattice gauge theories on a qudit quantum computer
• Entanglement-Optimal Trajectories of Many-Body Quantum Markov Processes
• Quantum many-body scars in bipartite Rydberg arrays originate from hidden projector embedding
• Observation of string breaking on a (2 + 1)D Rydberg quantum simulator
• Magic distances in the blockade mechanism of Rydberg p and d states
• Optimal control transport of neutral atoms in optical tweezers at finite temperature
• Quantum order-by-disorder induced phase transition in Rydberg ladders with staggered detuning
• Phase diagram of Rydberg-dressed atoms on two-leg triangular ladders
• Numerical investigation of quantum phases and phase transitions in a two-leg ladder of Rydberg atoms
• Enhancement of Rydberg Blockade via Microwave Dressing
• Quantum control of Rydberg atoms for mesoscopic-scale quantum state and circuit preparation
• Scar-induced imbalance in staggered Rydberg ladders
• Flat Bands in Three-dimensional Lattice Models with Non-trivial Hopf Index
• Quantum storage with flat bands
• Phase diagram of Rydberg atoms in a two-leg rectangular ladder