Light-cone like spreading of single-particle correlations in the Bose-Hubbard model after a quantum quench in the strong coupling regime

Abstract

We study the spreading of correlations in space and time after a quantum quench in the Bose Hubbard model. We derive equations of motion for the single-particle Green's function within the contour-time formalism, allowing us to study dynamics in the strong coupling regime. We discuss the numerical solutions of these equations and calculate the single-particle density matrix for quenches in the Mott phase. We demonstrate light-cone like spreading of correlations in the Mott phase in one, two, and three dimensions and calculate propagation velocities in each dimension.

16 pages, 9 figures

References in corpus (25)

• Many-Body Physics with Ultracold Gases
• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• Exploring the many-body localization transition in two dimensions
• Quench dynamics and non equilibrium phase diagram of the Bose-Hubbard model
• Universal adiabatic dynamics across a quantum critical point
• Spreading of correlations and entanglement after a quench in the one-dimensional Bose-Hubbard model
• Strongly interacting bosons in a disordered optical lattice
• Defect production in non-linear quench across a quantum critical point
• Mott insulator to superfluid transition in the Bose-Hubbard model: a strong-coupling approach
• Quantum quenches and off-equilibrium dynamical transition in the infinite-dimensional Bose-Hubbard model
• Quantum corrections to the dynamics of interacting bosons: beyond the truncated Wigner approximation
• Slow Mass Transport and Statistical Evolution of An Atomic Gas Across the Superfluid-Mott Insulator Transition
• Slow quench dynamics of a trapped one-dimensional Bose gas confined to an optical lattice
• Bogoliubov theory of quantum correlations in the time-dependent Bose-Hubbard model
• Perturbative corrections to the Gutzwiller mean-field solution of the Mott-Hubbard model
• Nonequilibrium dynamical mean-field theory for bosonic lattice models
• Tunneling-induced damping of phase coherence revivals in deep optical lattices
• Excitation Spectra of Bosons in Optical Lattices from Schwinger-Keldysh Calculation
• Stable-unstable transition for a Bose-Hubbard chain coupled to an environment
• Non-equilibrium dynamics of a Bose-Einstein condensate in an optical lattice
• Real-Time Ginzburg-Landau Theory for Bosons in Optical Lattices
• Contour-time approach to the Bose-Hubbard model in the strong coupling regime: Studying two-point spatio-temporal correlations at the Hartree-Fock-Bogoliubov level
• Self-consistent Keldysh approach to quenches in weakly interacting Bose-Hubbard model
• Effect of boson on-site repulsion on the superfluidity in the boson-fermion-Hubbard model

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• Hierarchy of double-time correlations
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• Excitations and correlations in the driven-dissipative Bose-Hubbard model
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• Out-of-Equilibrium Dynamics in the Two-Component Bose-Hubbard Model
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