Quasiperiodic Floquet-Gibbs states in Rydberg atomic systems
arXiv:2409.12044 · doi:10.1103/PhysRevA.111.L010202
Abstract
Open systems that are weakly coupled to a thermal environment and driven by fast, periodically oscillating fields are commonly assumed to approach an equilibrium-like steady state with respect to a truncated Floquet-Magnus Hamiltonian. Using a general argument based on Fermi's golden rule, we show that such Floquet-Gibbs states emerge naturally in periodically modulated Rydberg atomic systems, whose lab-frame Hamiltonian is a quasiperiodic function of time. Our approach applies as long as the inherent Bohr frequencies of the system, the modulation frequency and the frequency of the driving laser, which is necessary to uphold high-lying Rydberg excitations, are well separated. To corroborate our analytical results, we analyze a realistic model of up to five interacting Rydberg atoms with periodically changing detuning. We demonstrate numerically that the second-order Floquet-Gibbs state of this system is essentially indistinguishable from the steady state of the corresponding Redfield equation if the modulation and driving frequencies are sufficiently large.
arXiv comment8 + 5 pages, 2+1 figures. Minor changes made to the text and a figure added to the supplementary material
References in corpus (71)
- Chaos and Quantum Thermalization
- Quantum information with Rydberg atoms
- From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
- Universal High-Frequency Behavior of Periodically Driven Systems: from Dynamical Stabilization to Floquet Engineering
- Atomic quantum gases in periodically driven optical lattices
- The Magnus expansion and some of its applications
- Many-Body Physics with Individually-Controlled Rydberg Atoms
- Transport properties of non-equilibrium systems under the application of light: Photo-induced quantum Hall insulators without Landau levels
- Equilibration, thermalisation, and the emergence of statistical mechanics in closed quantum systems
- Floquet Engineering of Quantum Materials
- Open Quantum Systems. An Introduction
- Quantum Thermodynamics
- Realizing quantum Ising models in tunable two-dimensional arrays of single Rydberg atoms
- Equilibrium states of generic quantum systems subject to periodic driving
- Long-time behavior of periodically driven isolated interacting lattice systems
- Thermalization and prethermalization in isolated quantum systems: a theoretical overview
- Quantum scarred eigenstates in a Rydberg atom chain: entanglement, breakdown of thermalization, and stability to perturbations
- Floquet-Magnus Theory and Generic Transient Dynamics in Periodically Driven Many-Body Quantum Systems
- Exponentially slow heating in periodically driven many-body systems
- Controlling many-body dynamics with driven quantum scars in Rydberg atom arrays
- Rydberg atom quantum technologies
- Exact Quantum Many-Body Scar States in the Rydberg-Blockaded Atom Chain
- Consequences of Zeeman Degeneracy for van der Waals Blockade between Rydberg Atoms
- Quantum simulations and many-body physics with light
- Open quantum systems
- Floquet-engineering counterdiabatic protocols in quantum many-body systems
- Tailoring quantum gases by Floquet engineering
- Floquet prethermalization and regimes of heating in a periodically driven, interacting quantum system
- Accuracy Assessment of Perturbative Master Equations -- Embracing Non-Positivity
- Observation of Floquet prethermalization in dipolar spin chains
- Localization phenomena in interacting Rydberg lattice gases with position disorder
- Floquet States in Open Quantum Systems
- Interaction dependent heating and atom loss in a periodically driven optical lattice
- Floquet prethermalization in a Bose-Hubbard system
- Quantum Many-Body Scar States in Two-Dimensional Rydberg Atom Arrays
- Markovian Master Equation and Thermodynamics of Two-level System in Strong Laser Field
- Trapped Rydberg Ions: From Spin Chains to Fast Quantum Gates
- Condition for emergence of the Floquet-Gibbs state in periodically driven open systems
- Generalized Gibbs state with modified Redfield solution: Exact agreement up to second order
- Kubo formula for Floquet states and photoconductivity oscillations in a 2D electron gas
- Correspondence principle for many-body scars in ultracold Rydberg atoms
- Effective Floquet-Gibbs states for dissipative quantum systems
- Thermalization and Return to Equilibrium on Finite Quantum Lattice Systems
- Quantum and classical Floquet prethermalization
- Floquet prethermalization in periodically driven classical spin systems
- Extending the applicability of Redfield theories into highly non-Markovian regimes
- Heating Rates in Periodically Driven Strongly Interacting Quantum Many-Body Systems
- A non-equilibrium quantum many-body Rydberg atom engine
- Floquet Engineering in Quantum Chains
- Rydberg excitation of trapped cold ions: A detailed case study
- Lindbladian approximation beyond ultra-weak coupling
- Numerical study of two-body correlation in a 1D lattice with perfect blockade
- Floquet theorem for open systems and its applications
- Floquet prethermalization in the resonantly driven Hubbard model
- Floquet states in dissipative open quantum systems
- Changes in Floquet state structure at avoided crossings: delocalization and harmonic generation
- Engineering Floquet Dynamical Quantum Phase Transition
- Statistical Mechanics of Floquet Quantum Matter: Exact and Emergent Conservation Laws
- Quasi-Floquet prethermalization in a disordered dipolar spin ensemble in diamond
- On the application of Floquet theorem in development of time-dependent Lindbladians
- Floquet engineering topological Dirac bands
- Locality and Heating in Periodically Driven, Power-law Interacting Systems
- Floquet resonant states and validity of the Floquet-Magnus expansion in the periodically driven Friedrichs models
- A time-dependent regularization of the Redfield equation
- Exploring non-equilibrium phases of the generalized Dicke model with a trapped Rydberg ion quantum simulator
- Population trapping in a pair of periodically driven Rydberg atoms
- Heating Rates under Fast Periodic Driving beyond Linear Response
- Many-body radiative decay in strongly interacting Rydberg ensembles
- Rydberg ion flywheel for quantum work storage
- Floquet-Gibbs state in open quantum systems
- Prethermal memory loss in interacting quantum systems coupled to thermal baths