Heating dynamics of bosonic atoms in a noisy optical lattice

Abstract

We analyze the heating of interacting bosonic atoms in an optical lattice due to intensity fluctuations of the lasers forming the lattice. We focus in particular on fluctuations at low frequencies below the band gap frequency, such that the dynamics is restricted to the lowest band. We derive stochastic equations of motion, and analyze the effects on different many-body states, characterizing heating processes in both strongly and weakly interacting regimes. In the limit where the noise spectrum is flat at low frequencies, we can derive an effective Master equation describing the dynamics. We compute heating rates and changes to characteristic correlation functions both in the perturbation theory limit, and using a full time-dependent calculation of the stochastic many-body dynamics in 1D based on time-dependent density-matrix-renormalization-group methods.

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• Oscillating-mode gap: an indicator of phase transition in open quantum many-body systems
• Spontaneous symmetry breaking in non-steady modes of open quantum many-body systems
• A Riemannian Approach to the Lindbladian Dynamics of a Locally Purified Tensor Network
• Steady-State Quantum Zeno Effect of Driven-Dissipative Bosons with Dynamical Mean-Field Theory
• Engineering quasi-steady-state correlations in uncorrelated thermal states using stochastic driving
• $p$-band stability of ultracold atom gas in anharmonic optical lattice potential with large energy scales