Efficient shortcuts-to-adiabaticity for loading an ultracold Fermi gas into higher orbital bands of one-dimensional optical lattice

Abstract

We propose an experimental scheme to load ultracold Fermi gases from the ground orbital band of a one-dimensional optical lattice into the first excited orbital band. Unlike the narrow momentum distribution of a Bose-Einstein Condensate, Fermi gases exhibit a broad momentum distribution. To address this, we define the average loading efficiency across all quasi-momentum states and theoretically perform the loading operation simultaneously for each Bloch state. Using a multiparameter global optimization method, we determine the loading efficiency at various lattice depths. We can enhance the loading efficiency by adjusting the phase of the lattice, which leverages the different symmetries of Bloch wavefunctions in various optical lattice orbitals. We also identified that the primary factor hindering higher loading efficiency in the Fermi gas is the multiple occupancy of the quasi-momentum states. Our simulations of various occupancies revealed a decreasing trend in mean loading efficiency as the number of occupied quasi-momentum states increases. Finally, we compare our method with other loading techniques and assess its experimental feasibility.

9 pages, 8 figures

References in corpus (42)

• Many-Body Physics with Ultracold Gases
• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• Shortcuts to adiabaticity: concepts, methods, and applications
• Berezinskii-Kosterlitz-Thouless Crossover in a Trapped Atomic Gas
• Fermionic atoms in a 3D optical lattice: Observing Fermi-surfaces, dynamics and interactions
• Tools for quantum simulation with ultracold atoms in optical lattices
• Non-standard Hubbard models in optical lattices: a review
• A Bose-Einstein condensate in an optical lattice
• Coherent driving and freezing of bosonic matter wave in an optical Lieb lattice
• Orbital superfluidity in the $P$-band of a bipartite optical square lattice
• Bilayer two-orbital model of La${}_3$Ni${}_2$O${}_7$ under pressure
• Molecules of Fermionic Atoms in an Optical Lattice
• Observation of a pairing pseudogap in a two-dimensional Fermi gas
• Radiofrequency spectroscopy of a strongly interacting two-dimensional Fermi gas
• p-Wave Interactions in Low-Dimensional Fermionic gases
• State preparation and dynamics of ultracold atoms in higher lattice orbitals
• Observation of a two-dimensional Fermi gas of atoms
• Production of a Fermi gas of atoms in an optical lattice
• Equation of State of Ultracold Fermions in the 2D BEC-BCS Crossover Region
• Physics of higher orbital bands in optical lattices: a review
• Unconventional superfluid order in the $F$-band of a bipartite optical square lattice
• Anomalous breaking of scale invariance in a two-dimensional Fermi gas
• Shortcut loading atoms into an optical lattice
• Quantum scale anomaly and spatial coherence in a 2D Fermi superfluid
• Evidence of Potts-Nematic Superfluidity in a Hexagonal $s{p}^2$ Optical Lattice
• Echo-Ramsey Interferometry with Motional Quantum States
• Observation of a dynamical sliding phase superfluid with P-band bosons
• Collisional loss of one-dimensional fermions near a $p$-wave Feshbach resonance
• Two-body relaxation in a Fermi gas at a p-wave Feshbach resonance
• Observation of unitary p-wave interactions between fermions in an optical lattice
• Quantitative analysis of $p$-wave three-body losses via cascade process
• Rapid non-adiabatic loading in an optical lattice
• Creation of p-wave Feshbach molecules in the selected angular momentum states using an optical lattice
• Predicting Unconventional High Temperature Superconductors in Trigonal Bipyramidal Coordinations
• Observation of quantum dynamical oscillations of ultracold atoms in the F and D bands of an optical lattice
• Quantum degenerate Fermi gas in an orbital optical lattice
• Ultracold Feshbach molecules in an orbital optical lattice
• Emergent s-wave interactions between identical fermions in quasi-one-dimensional geometries
• Atomic momentum patterns with narrower interval
• The dominant scattering channel induced by two-body collision of D-band atoms in triangular optical lattice
• Evidence for Quantum Stripe Ordering in a Triangular Optical Lattice
• Emergent $s$-wave interactions in orbitally active quasi-two-dimensional Fermi gases