Ab initio lattice results for Fermi polarons in two dimensions

Abstract

We investigate the attractive Fermi polaron problem in two dimensions using non-perturbative Monte Carlo simulations. We introduce a new Monte Carlo algorithm called the impurity lattice Monte Carlo method. This algorithm samples the path integral in a computationally efficient manner and has only small sign oscillations for systems with a single impurity. As a benchmark of the method, we calculate the universal polaron energy in three dimensions in the scale-invariant unitarity limit and find agreement with published results. We then present the first fully non-perturbative calculations of the polaron energy in two dimensions and density correlations between the impurity and majority particles in the limit of zero range interactions. We find evidence for a smooth crossover transition from fermionic quasiparticle to molecular state as a function of interaction strength.

Includes new results on density-density correlations. Final version as will appear in Phys. Rev. Lett

References in corpus (21)

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Cited by in corpus (27)

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• Accelerated Quantum Monte Carlo with Probabilistic Computers
• High-precision numerical solution of the Fermi polaron problem and large-order behavior of its diagrammatic series
• Scattering cluster wave functions on the lattice using the adiabatic projection method
• Fermi Gases in the Two-Dimensional to Quasi-Two-Dimensional Crossover
• Neutron-proton scattering at next-to-next-to-leading order in Nuclear Lattice Effective Field Theory
• Fermi polaron revisited: polaron-molecule transition and coexistence
• Impurity Lattice Monte Carlo for Hypernuclei
• Thermodynamic signatures of the polaron-molecule transition in a Fermi gas
• Nature of polaron-molecule transition in Fermi polarons
• Intersections of ultracold atomic polarons and nuclear clusters: How is a chart of nuclides modified in dilute neutron matter?
• Lattice Monte Carlo Simulations with Two Impurity Worldlines
• Binding of the three-hadron $D{D}^{\ast }K$ system from the lattice effective field theory
• A Non-Gaussian Variational Approach to Fermi Polarons in One- and Two-dimensional Lattices
• Sign-Problem-Free Nuclear Quantum Monte Carlo Simulation
• Lattice Improvement in Lattice Effective Field Theory
• Charge-dependent nucleon-nucleon interaction at N${}^3$LO in nuclear lattice effective field theory
• Investigating nuclear beta decay using lattice quantum Monte Carlo approach
• Fermi polaron in a dissipative bath with spin-orbit coupling
• Super Fermi polaron and Nagaoka ferromagnetism in a two-dimesnional square lattice
• Machine Learning Unveils the Power Law of Finite-Volume Energy Shifts
• The normal state of attractive Fermi gases from coupled-cluster theory
• Ab initio study of the neutron and Fermi polarons on the lattice
• Chiral Effective Field Theory after Thirty Years: Nuclear Lattice Simulations