QuSpin: a Python Package for Dynamics and Exact Diagonalisation of Quantum Many Body Systems. Part II: bosons, fermions and higher spins

Abstract

We present a major update to QuSpin, SciPostPhys.2.1.003 -- an open-source Python package for exact diagonalization and quantum dynamics of arbitrary boson, fermion and spin many-body systems, supporting the use of various (user-defined) symmetries in one and higher dimension and (imaginary) time evolution following a user-specified driving protocol. We explain how to use the new features of QuSpin using seven detailed examples of various complexity: (i) the transverse-field Ising chain and the Jordan-Wigner transformation, (ii) free particle systems: the Su-Schrieffer-Heeger (SSH) model, (iii) the many-body localized 1D Fermi-Hubbard model, (iv) the Bose-Hubbard model in a ladder geometry, (v) nonlinear (imaginary) time evolution and the Gross-Pitaevskii equation on a 1D lattice, (vi) integrability breaking and thermalizing dynamics in the translationally-invariant 2D transverse-field Ising model, and (vii) out-of-equilibrium Bose-Fermi mixtures. This easily accessible and user-friendly package can serve various purposes, including educational and cutting-edge experimental and theoretical research. The complete package documentation is available under http://weinbe58.github.io/QuSpin/index.html.

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• Symmetry-protected quantization of complex Berry phases in non-Hermitian many-body systems
• Periodically driven many-body quantum battery
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• Witnessing nonequilibrium entanglement dynamics in a strongly correlated fermionic chain
• Dynamical crossover behavior in the relaxation of quenched quantum many-body systems
• Accuracy of quantum simulators with ultracold dipolar molecules: a quantitative comparison between continuum and lattice descriptions
• Interplay and competition between disorder and flat band in an interacting Creutz ladder
• Scalable spin squeezing from spontaneous breaking of a continuous symmetry
• Quantum many-body scars of spinless fermions with density-assisted hopping in higher dimensions
• Dynamical localization and slow dynamics in quasiperiodically-driven quantum systems
• Quantum many-body scars in spin models with multibody interactions
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• Highly resolved spectral functions of two-dimensional systems with neural quantum states
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• Hubbard model for spin-1 Haldane chains
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• Realizing multiband states with ultracold dipolar quantum simulators
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• Localization and slow-thermalization in a cluster spin model
• Fast Pre-scramblers
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• Enhancement of superconducting pairing via quantum Lyapunov control
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• Crossover from Quantum Chaos to a Reversed Quantum Disentangled Liquid in a Disorder-Free Spin Ladder
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• Variational approach for the two-body problem in a multiband extended-Hubbard model
• Linear differential equation approach to the Loschmidt amplitude
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• Diagnosing chaos with projected ensembles of process tensors
• Kinetic Energy Driven Ferromagnetic Insulator
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• Multipartite entangled states in dipolar quantum simulators
• Statistical Floquet prethermalization of the Bose-Hubbard model
• Nonperturbative signatures of fractons in the twisted multiflavor Schwinger Model
• Trajectory-Resolved Weiss Fields for Quantum Spin Dynamics
• Dynamical correlations and nonequilibrium sum rules in photodoped Hubbard ladders
• Floquet-engineered system-reservoir interaction in the transverse field Ising model
• Quantum adiabaticity in many-body systems and almost-orthogonality in complementary subspace
• Rate Function Modelling of Quantum Many-Body Adiabaticity
• Vortex bound states in dimerized $\pi$-flux optical lattices: characterization, state preparation and current measurement
• Anisotropy-induced spin parity effects
• Emergent long-range interaction and state-selective localization in a strongly driven $XXZ$ model
• Edge-Edge Correlations without Edge-States: $\eta$-clustering State as Ground State of the Extended Attractive SU(3) Hubbard Chain
• Unpolarized prethermal discrete time crystal
• Fractionalized Prethermalization in the One-Dimensional Hubbard Model
• Machine Learning out of equilibrium correlations in the Bose-Hubbard model
• Quantum many-body scarring from Kramers-Wannier duality
• Finding periodic orbits in projected quantum many-body dynamics
• Emergence of non-trivial phases in interacting non-Hermitian quasiperiodic chains with power-law hopping