Dynamically Generated Double Occupancy as a Probe of Cold Atom Systems

Abstract

The experimental investigation of quantum phases in optical lattice systems provides major challenges. Recently, dynamical generation of double occupancy via modulation of the hopping amplitude t has been used to characterize the strongly correlated phase of fermionic atoms. Here, we want to validate this experimental technique with a theoretical study of the driven Hubbard model using analytic methods. We find that conclusive evidence for a Mott phase can be inferred from such a measurement, provided that sufficiently low temperatures kT<<t can be reached.

5 pages, 3 figures

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• Time-Dependent Mean Field Theory for Quench Dynamics in correlated electron systems
• Schrieffer-Wolff Transformation for Periodically Driven Systems: Strongly Correlated Systems with Artificial Gauge Fields
• Lifetime of double occupancies in the Fermi-Hubbard model
• Quantum Quenches in the Hubbard Model: Time Dependent Mean Field Theory and The Role of Quantum Fluctuations
• Topological Order and Semions in a Strongly Correlated Quantum Spin Hall Insulator
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• Linear Ramps of Interaction in the Fermionic Hubbard Model
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• $Z_2$-gauge theory description of the Mott transition in infinite dimensions
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• Phases and Exotic Phase Transitions of a Two-Dimensional Su-Schrieffer-Heeger Model
• Spin correlations and doublon production rate for fermionic atoms in modulated optical lattices
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• Momentum Resolved Optical Lattice Modulation Spectroscopy for Bose Hubbard Model
• Dynamical Unbinding Transition in a Periodically Driven Mott Insulator
• Theoretical Description of Coherent Doublon Creation via Lattice Modulation Spectroscopy
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• Manumitting slave-spins in the Anderson impurity model
• Thermometry of ultracold fermions by (super)lattice modulation spectroscopy
• Rabi-resonant behavior of periodically-driven correlated fermion systems
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• Exactly solvable Majorana-Anderson impurity models
• The Out-of-Equilibrium Time-Dependent Gutzwiller Approximation
• Finite temperature dynamical properties of SU($N$) fermionic Hubbard models in the spin-incoherent regime
• Phase diagram of the Kitaev-Hubbard model: ${\mathbb{Z}}_2$ slave-spin and QMC approaches
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