Sauter-Schwinger like tunneling in tilted Bose-Hubbard lattices in the Mott phase

Abstract

We study the Mott phase of the Bose-Hubbard model on a tilted lattice. On the (Gutzwiller) mean-field level, the tilt has no effect -- but quantum fluctuations entail particle-hole pair creation via tunneling. For small potential gradients (long-wavelength limit), we derive a quantitative analogy to the Sauter-Schwinger effect, i.e., electron-positron pair creation out of the vacuum by an electric field. For large tilts, we obtain resonant tunneling related to Bloch oscillations.

4 pages, 1 figure

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Cited by in corpus (17)

• Advances in QED with intense background fields
• Ultracold bosons with short-range interaction in regular optical lattices
• Observation of many-body long-range tunneling after a quantum quench
• Equilibration and prethermalization in the Bose-Hubbard and Fermi-Hubbard models
• Dielectric breakdown of Mott insulators -- doublon production and doublon heating
• Doublon bottleneck in the ultrafast relaxation dynamics of hot electrons in 1T-TaS_2
• Boltzmann relaxation dynamics in the strongly interacting Fermi-Hubbard model
• Environment induced pre-thermalization in the Mott-Hubbard model
• Spatial correlations in driven-dissipative photonic lattices
• Mott-insulator state of cold atoms in tilted optical lattices: doublon dynamics and multi-level Landau-Zener tunneling
• Dynamically Assisted Tunneling in the Floquet Picture
• Boltzmann relaxation dynamics of strongly interacting spinless fermions on a lattice
• Hierarchy of double-time correlations
• The large coordination number expansion of a lattice Bose gas at finite temperature
• Quantum stabilization of photonic spatial correlations
• Dynamically assisted tunneling in the impulse regime
• Correlations in the Bose & Fermi Hubbard Model