Shaken not stirred: Creating exotic angular momentum states by shaking an optical lattice

Abstract

We propose a method to create higher orbital states of ultracold atoms in the Mott regime of an optical lattice. This is done by periodically modulating the position of the trap minima (known as shaking) and controlling the interference term of the lasers creating the lattice. These methods are combined with techniques of shortcuts to adiabaticity. As an example of this, we show specifically how to create an anti-ferromagnetic type ordering of angular momentum states of atoms. The specific pulse sequences are designed using Lewis-Riesenfeld invariants and a four-level model for each well. The results are compared with numerical simulations of the full Schroedinger equation.

20 pages, 8 figures

References in corpus (20)

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• Tunable gauge potential for neutral and spinless particles in driven lattices
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• Shaping topological properties of the band structures in a shaken optical lattice
• Dynamical invariants for quantum control of four-level systems
• Geometrically induced complex tunnelings for ultracold atoms carrying orbital angular momentum
• Spin-momentum coupled Bose-Einstein condensates with lattice band pseudospins
• Chiral d-wave superfluid in periodically driven lattices
• STIRAP-like transitions in a harmonically-modulated optical lattice
• Non-adiabatic generation of NOON states in a Tonks--Girardeau gas

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• Second-order topological corner states with ultracold atoms carrying orbital angular momentum in optical lattices
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• Topological edge states and Aharanov-Bohm caging with ultracold atoms carrying orbital angular momentum
• Interaction-induced topological properties of two bosons in flat-band systems
• Quantum Control via Enhanced Shortcuts to Adiabaticity
• Fast and robust magnon transport in a spin chain
• Many-body Aharonov-Bohm caging in a lattice of rings
• Spatial non-adiabatic passage using geometric phases
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• Theory of interacting fermions in shaken square optical lattice
• Selective population of a large-angular-momentum state in an optical lattice
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• Improved anharmonic trap expansion through enhanced shortcuts to adiabaticity
• Invariant-based inverse engineering for fast and robust load transport in a double pendulum bridge crane
• Generating scalable entanglement of ultracold bosons in superlattices through resonant shaking
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