Stability of a Floquet Bose-Einstein condensate in a one-dimensional optical lattice
arXiv:1405.1398 · doi:10.1103/PhysRevA.90.013621
Abstract
Motivated by recent experimental observations (C.V. Parker {\it et al.}, Nature Physics, {\bf 9}, 769 (2013)), we analyze the stability of a Bose-Einstein condensate (BEC) in a one-dimensional lattice subjected to periodic shaking. In such a system there is no thermodynamic ground state, but there may be a long-lived steady-state, described as an eigenstate of a "Floquet Hamiltonian". We calculate how scattering processes lead to a decay of the Floquet state. We map out the phase diagram of the system and find regions where the BEC is stable and regions where the BEC is unstable against atomic collisions. We show that Parker et al. perform their experiment in the stable region, which accounts for the long life-time of the condensate ( 1 second). We also estimate the scattering rate of the bosons in the region where the BEC is unstable.
arXiv comment6 Pages, 4 Figures
References in corpus (36)
- Photonic Floquet Topological Insulators
- Floquet Topological Insulator in Semiconductor Quantum Wells
- Observation of Floquet-Bloch states on the surface of a topological insulator
- Topological characterization of periodically-driven quantum systems
- Transport properties of non-equilibrium systems under the application of light: Photo-induced quantum Hall insulators without Landau levels
- Majorana Fermions in Equilibrium and Driven Cold Atom Quantum Wires
- Quantum simulation of frustrated magnetism in triangular optical lattices
- Dynamical control of matter-wave tunneling in periodic potentials
- Tunable gauge potential for neutral and spinless particles in driven lattices
- Equilibrium states of generic quantum systems subject to periodic driving
- Superfluid-insulator transition in a periodically driven optical lattice
- Floquet topological insulators
- Floquet-Bloch theory and topology in periodically driven lattices
- Non-Abelian gauge fields and topological insulators in shaken optical lattices
- Engineering Ising-XY spin models in a triangular lattice via tunable artificial gauge fields
- Floquet chiral edge states in graphene
- Floquet Fractional Chern Insulator in Doped Graphene
- Floquet generation of Majorana end modes and topological invariants
- Many-body energy localization transition in periodically driven systems
- In situ observation of strongly interacting ferromagnetic domains in a shaken optical lattice
- Periodic thermodynamics of isolated systems
- Transport signatures of Floquet Majorana fermions in driven topological superconductors
- Generating Many Majorana Modes via Periodic Driving: A Superconductor Model
- Modulated Floquet Topological Insulators
- Topological Floquet Spectrum in Three Dimensions via a Two-Photon Resonance
- Floquet Topological States in Shaking Optical Lattices
- Radiation effects on the electronic structure of bilayer graphene
- Dynamical band flipping in fermionic lattice systems: An ac-field-driven change of the interaction from repulsive to attractive
- Counter-propagating edge modes and topological phases of a kicked quantum Hall system
- Generalized Bose-Einstein condensation into multiple states in driven-dissipative systems
- Driven Electronic States at the Surface of a Topological Insulator
- Engineering Quantum Anomalous Hall Plateaus and Anti-Chiral States with AC Fields
- Floquet Edge States with Ultracold Atoms
- AC-induced superfluidity
- Dynamic Optical Superlattices with Topological Bands
- Kilohertz-driven Bose-Einstein condensates in optical lattices
Cited by in corpus (54)
- Atomic quantum gases in periodically driven optical lattices
- Topological Bands for Ultracold Atoms
- Irradiated graphene as a tunable Floquet topological insulator
- Multiterminal Conductance of a Floquet Topological Insulator
- A theory of many-body localization in periodically driven systems
- Floquet topological transitions in a driven one-dimensional topological insulator
- Periodically-driven quantum matter: the case of resonant modulations
- Hierarchy of Floquet gaps and edge states for driven honeycomb lattices
- Scattering Theory for Floquet-Bloch States
- Interaction dependent heating and atom loss in a periodically driven optical lattice
- Dynamical Stability of a Many-body Kapitza Pendulum
- Multiphoton interband excitations of quantum gases in driven optical lattices
- The Floquet-Boltzmann equation
- Floquet interface states in illuminated three-dimensional topological insulators
- Dynamic optical lattices of sub-wavelength spacing for ultracold atoms
- Parametric Instability Rates in Periodically-Driven Band Systems
- Parametric instabilities in a 2D periodically-driven bosonic system: Beyond the weakly-interacting regime
- Time-induced second-order topological superconductors
- Transverse collisional instabilities of a Bose-Einstein condensate in a driven one-dimensional lattice
- Characterizations of prethermal states in periodically driven many-body systems with unbounded chaotic diffusion
- Mode coupling of interaction quenched ultracold few-boson ensembles in periodically driven lattices
- Dynamic steady-state of periodically-driven quantum systems
- Stability and pre-thermalization in chains of classical kicked rotors
- Interband heating processes in a periodically driven optical lattice
- Resonant quantum dynamics of few ultracold bosons in periodically driven finite lattices
- Spin-momentum coupled Bose-Einstein condensates with lattice band pseudospins
- The optimal frequency window for Floquet engineering in optical lattices
- A Two-dimensional Algebraic Quantum Liquid Produced by an Atomic Simulator of the Quantum Lifshitz Model
- Floquet bound states around defects and adatoms in graphene
- Modified interactions in a Floquet topological system on a square lattice and their impact on a bosonic fractional Chern insulator state
- Floquet FFLO superfluids and Majorana fermions in a shaken fermionic optical lattice
- Probing the Flat Band of Optically-Trapped Spin-Orbital Coupled Bose Gases Using Bragg Spectroscopy
- Unified Light-Matter Floquet Theory and its Application to Quantum Communication
- Floquet Spectrum and Two-Terminal Conductance of a Transition Metal Dichalcogenide Ribbon under a Circularly Polarized Laser Field
- Orbital-driven melting of a bosonic Mott insulator in a shaken optical lattice
- Anomalous Goos-Hänchen shift in the Floquet scattering of Dirac fermions
- Resonant excitations of a Bose Einstein condensate in an optical lattice
- Stability of a Bose-Einstein condensate in a driven optical lattice: Crossover between weak and tight transverse confinement
- Floquet Heating in Interacting Atomic Gases with an Oscillating Force
- Dynamics of fluctuation correlation in periodically driven classical system
- Non-adiabatic bulk-surface oscillations in driven topological insulators
- Periodic and aperiodic dynamics of flat bands in diamond-octagon lattice
- Topologically trivial and nontrivial edge bands in graphene induced by irradiation
- Floquet-Band Engineering of Shaken Bosonic Condensates
- Direct cooling in an optical lattice by amplitude modulation
- Solvable model of a generic driven mixture of trapped Bose-Einstein condensates and properties of a many-boson Floquet state at the limit of an infinite number of particles
- Dynamic renormalization group theory for open Floquet systems
- From prethermalization to chaos in periodically driven coupled rotors
- Prethermalization in aperiodically driven classical spin systems
- Counterdiabatic Route to Entanglement Steering and Dynamical Freezing in the Floquet Lipkin-Meshkov-Glick Model
- Stability, Isolated Chaos, and Superdiffusion in Nonequilibrium Many-Body Interacting Systems
- Accelerated Bose-Einstein condensates in a double-well potential
- Statistical prethermalization in randomly kicked many-body classical rotor system
- Condensed matter physics in big discrete time crystals