One-dimensional Fermi polaron in a combined harmonic and periodic potential

Abstract

We study an impurity in a one-dimensional potential consisting of a harmonic and a periodic part using both the time-evolving block decimation (TEBD) algorithm and a variational ansatz. Attractive and repulsive contact interactions with a sea of fermions are considered. We find excellent agreement between TEBD and variational results and use the variational ansatz to investigate higher lattice bands. We conclude that the lowest band approximation fails at sufficiently strong interactions and develop a new method for computing the Tan contact parameter.

7 pages including an appendix, 2 figures

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• Non-standard Hubbard models in optical lattices: a review
• Effective Hamiltonians for fastly driven many-body lattice systems
• Attractive Fermi polarons at nonzero temperature with finite impurityconcentration
• Universal Tan relations for quantum gases in one dimension
• Fermi polaron in a one-dimensional quasi-periodic optical lattice: the simplest many-body localization challenge
• Exact results for polaron and molecule in one-dimensional spin-1/2 Fermi gas
• Comparing models for the ground state energy of a trapped one-dimensional Fermi gas with a single impurity
• Quench-induced delocalization
• Collisional dynamics of polaronic clouds immersed in a Fermi sea
• A Non-Gaussian Variational Approach to Fermi Polarons in One- and Two-dimensional Lattices
• Mobile Spin Impurity in an Optical Lattice
• Fermi polaron in a dissipative bath with spin-orbit coupling
• Dynamical symmetry and pair tunneling in a one-dimensional Bose gas colliding with a mobile impurity
• Several fermions strongly interacting with a heavy mobile impurity in a one-dimensional harmonic trap
• Momentum Evolution Numerics of an Impurity in a Quantum Quench