Evolution of Coherence During Ramps Across the Mott-Superfluid Phase Boundary

Abstract

We calculate how correlations in a Bose lattice gas grow during a finite speed ramp from the Mott to the Superfluid regime. We use an interacting doublon-holon model, applying a mean-field approach for implementing hard-core constraints between these degrees of freedom. Our solutions are valid in any dimension, and agree with experimental results and with DMRG calculations in one dimension. We find that the final energy density of the system drops quickly with increased ramp time for ramps shorter than one hopping time, $J{\tau }_{ramp}\lesssim 1$. For longer ramps, the final energy density depends only weakly on ramp speed. We calculate the effects of inelastic light scattering during such ramps.

7 pages, 5 figures

References in corpus (17)

• Many-Body Physics with Ultracold Gases
• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Nonequilibrium dynamical mean-field theory and its applications
• Quench dynamics and non equilibrium phase diagram of the Bose-Hubbard model
• Universal adiabatic dynamics across a quantum critical point
• Monte Carlo study of two-dimensional Bose-Hubbard model
• Emergence of coherence and the dynamics of quantum phase transitions
• Non-equilibrium dynamics of bosonic atoms in optical lattices: Decoherence of many-body states due to spontaneous emission
• Mott insulator to superfluid transition in the Bose-Hubbard model: a strong-coupling approach
• Non-equilibrium Gross-Pitaevskii dynamics of boson lattice models
• Interaction-induced impeding of decoherence and anomalous diffusion
• Slow Mass Transport and Statistical Evolution of An Atomic Gas Across the Superfluid-Mott Insulator Transition
• Bose-Hubbard phase diagram with arbitrary integer filling
• Heating dynamics of bosonic atoms in a noisy optical lattice
• Spontaneous emissions and thermalization of cold bosons in optical lattices
• Heating from Continuous Number Density Measurements in Optical Lattices
• Dynamics of the Mott Insulator to Superfluid quantum phase transition in the truncated Wigner approximation

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• Bosonic quantum dynamics following a linear interaction quench in finite optical lattices of unit filling
• Phase and group velocities for correlation spreading in the Mott phase of the Bose-Hubbard model in dimensions greater than one
• 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
• Contour-time approach to the disordered Bose-Hubbard model in the strong coupling regime
• Machine Learning out of equilibrium correlations in the Bose-Hubbard model