XMDS2: Fast, scalable simulation of coupled stochastic partial differential equations

Abstract

XMDS2 is a cross-platform, GPL-licensed, open source package for numerically integrating initial value problems that range from a single ordinary differential equation up to systems of coupled stochastic partial differential equations. The equations are described in a high-level XML-based script, and the package generates low-level optionally parallelised C++ code for the efficient solution of those equations. It combines the advantages of high-level simulations, namely fast and low-error development, with the speed, portability and scalability of hand-written code. XMDS2 is a complete redesign of the XMDS package, and features support for a much wider problem space while also producing faster code.

9 pages, 5 figures

References in corpus (8)

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• Bogoliubov modes of a dipolar condensate in a cylindrical trap
• Noise and Correlations in a Spatial Population Model with Cyclic Competition
• Instability of spatial patterns and its ambiguous impact on species diversity
• Paired atom laser beams created via four-wave mixing
• Feedback control of an interacting Bose-Einstein condensate using phase-contrast imaging
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Cited by in corpus (147)

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• Non-equilibrium Berezinskii-Kosterlitz-Thouless Transition in a Driven Open Quantum System
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• High Precision, Quantum-Enhanced Gravimetry with a Bose-Einstein Condensate
• Dynamical critical exponents in driven-dissipative quantum systems
• Meissner-like effect for synthetic gauge field in multimode cavity QED
• Simulating seeded vacuum decay in a cold atom system
• Cavity-free nondestructive detection of a single optical photon
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• Collisionless sound in a uniform two-dimensional Bose gas
• Finite-temperature hydrodynamics for one-dimensional Bose gases: Breathing mode oscillations as a case study
• Functional Wigner representation of BEC quantum dynamics
• Squeezed-light-enhanced atom interferometry below the standard quantum limit
• Controlling spontaneous-emission noise in measurement-based feedback cooling of a Bose-Einstein Condensate
• Phase Stochastic Resonance in a forced nano-electromechanical oscillator
• Kibble-Zurek mechanism in driven-dissipative systems crossing a non-equilibrium phase transition
• Controlled polarization of two-dimensional quantum turbulence in atomic Bose-Einstein condensates
• Vinen turbulence via the decay of multicharged vortices in trapped atomic Bose-Einstein condensates
• Signatures of Coherent Vortex Structures in a Disordered 2D Quantum Fluid
• What is a quantum shock wave?
• Encoding a one-dimensional topological gauge theory in a Raman-coupled Bose-Einstein condensate
• Configurable unitary transformations and linear logic gates using quantum memories
• Simulating cosmological supercooling with a cold atom system
• Kardar-Parisi-Zhang universality in the phase distributions of one-dimensional exciton-polaritons
• Quantum Noise in Bright Soliton Matterwave Interferometry
• A cavity-QED quantum simulator of dynamical phases of a BCS superconductor
• Proposal for a motional-state Bell inequality test with ultracold atoms
• Phase-Imprinting of Bose-Einstein Condensates with Rydberg Impurities
• Mean-field Dynamics and Fisher Information in matterwave Interferometry
• Efficient and accurate methods for solving the time-dependent spin-1 Gross-Pitaevskii equation
• Quantum Enhanced Measurement of Rotations with a Spin-1 Bose-Einstein Condensate in a Ring Trap
• Quantitative acoustic models for superfluid circuits
• Optimised fast gates for quantum computing with trapped ions
• Ignorance is bliss: General and robust cancellation of decoherence via no-knowledge quantum feedback
• Coherent spin-wave processor of stored optical pulses
• Dynamical Observations of Self-Stabilising Stationary Light
• Self-induced Spatial Dynamics to Enhance Spin-Squeezing via One-Axis Twisting in a Two-Component Bose-Einstein Condensate
• Detection-Enhanced Steady State Entanglement with Ions
• Rydberg Aggregates
• Braiding and fusion of non-Abelian vortex anyons
• Quench dynamics of an ultracold two-dimensional Bose gas
• Non-Gaussian pure states and positive Wigner functions
• Strong Error Bounds for Trotter & Strang-Splittings and Their Implications for Quantum Chemistry
• Statistical mechanics of one-dimensional quantum droplets
• Excitation of knotted vortex lines in matter waves
• Decaying quantum turbulence in a two-dimensional Bose-Einstein condensate at finite temperature
• Quantum chaos in a Bose-Hubbard dimer with modulated tunnelling
• Robustness of System-Filter Separation for the Feedback Control of a Quantum Harmonic Oscillator Undergoing Continuous Position Measurement
• False vacuum decay in an ultracold spin-1 Bose gas
• Persistent current formation in double-ring geometries
• Differential-activity driven instabilities in biphasic active matter
• Superflow decay in a toroidal Bose gas: The effect of quantum and thermal fluctuations
• Dynamical preparation of stripe states in spin-orbit coupled gases
• A route to non-Abelian quantum turbulence in spinor Bose-Einstein condensates
• Formation and Dissolution of Bacterial Colonies
• Soliton trains after interaction quenches in Bose mixtures
• A Study on Fast Gates for Large-Scale Quantum Simulation with Trapped Ions
• Switching Exciton Pulses Through Conical Intersections
• Faraday patterns in spin-orbit coupled Bose-Einstein condensates
• Solitons in a $\mathcal{P}\mathcal{T}$- symmetric ${\chi }^{(2)}$ coupler
• Crossover in the dynamical critical exponent of a quenched two-dimensional Bose gas
• Spatio-temporal dynamics of an active, polar, viscoelastic ring
• Universal Vortex Statistics and Stochastic Geometry of Bose-Einstein Condensation
• Squeezing in Bose-Einstein condensates with large numbers of atoms
• Twisted unwinding of multi-charged quantum vortex and generation of turbulence in atomic Bose-Einstein condensates
• Heisenberg-limited metrology with a squeezed vacuum state, three-mode mixing, and information recycling
• Exploring quantum quasicrystal patterns: a variational study
• Controlling chaos in the quantum regime using adaptive measurements
• Quantum Zeno suppression of dipole-dipole forces
• Negative differential conductivity and quantum statistical effects in a three-site Bose-Hubbard model
• Coherent Population Trapping with a controlled dissipation: applications in optical metrology
• Properties of the signal mode in the polariton OPO regime
• Phase and micromotion of Bose-Einstein condensates in a time-averaged ring trap
• Modelling relativistic solitary wave interactions in over-dense plasmas: a perturbed nonlinear Schröndinger equation framework
• Quantum dynamics of long-range interacting systems using the positive-P and gauge-P representations
• Dynamics of a degenerate Cs-Yb mixture with attractive interspecies interactions
• Tracking Rydberg atoms with Bose-Einstein Condensates
• Free expansion of Bose-Einstein condensates with a multicharged vortex
• Geometric squeezing of rotating quantum gases into the lowest Landau level
• Collapse of a quantum vortex in an attractive two-dimensional Bose gas
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• Dynamics of thermalization of two tunnel-coupled one-dimensional quasicondensates
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• Bubble nucleation in a cold spin 1 gas
• Survival of the Scarcer in Space
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• Generation and decoherence of soliton spatial superposition states
• Collective dynamics of Fermi-Bose mixtures with an oscillating scattering length
• Collisions of solitary waves in condensates beyond mean-field theory
• Spin-up of a superfluid vortex lattice driven by rough boundaries
• Non-Hermitian matter wave mixing in Bose Einstein condensates: dissipation induced amplification
• Biased dynamics of the miscible-immiscible quantum phase transition in a binary Bose-Einstein condensate
• Nonlinear multi-state tunneling dynamics in a spinor Bose-Einstein condensate
• Two-dimensional spectroscopy of Rydberg gases
• Coherence of a non-equilibrium polariton condensate across the interaction-mediated phase transition
• An atomic Fabry-Perot interferometer using a pulsed interacting Bose-Einstein condensate
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• Solving the spin-2 Gross-Pitaevskii equation using exact nonlinear dynamics and symplectic composition
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• Localization control of few-photon states in parity-symmetric photonic molecules under balanced pumping
• Encoding a topological gauge theory on a ring-shaped Raman-coupled Bose gas
• Simple third order operator-splitting schemes for stochastic mechanics and field theory
• Electromagnetically-induced transparency assists the Raman gradient echo memory at moderate detuning, dependent on gradient order
• Projection Optimization Method for Open-Dissipative Quantum Fluids and its Application to a Single Vortex in a Photon Bose-Einstein Condensate
• Fano Resonances in Quantum Transport with Vibrations