Quantum Coherent Control via Pauli Blocking

Abstract

Coherent quantum control over many-particle quantum systems requires high fidelity dynamics. One way of achieving this is to use adiabatic schemes where the system follows an instantaneous eigenstate of the Hamiltonian over timescales that do not allow transitions to other states. This, however, makes control dynamics very slow. Here we introduce another concept that takes advantage of preventing unwanted transitions in fermionic systems by using Pauli blocking: excitations from a protected ground state to higher-lying states are avoided by adding a layer of buffer fermions, such that the protected fermions cannot make a transition to higher lying excited states because these are already occupied. This allows to speed-up adiabatic evolutions of the system. We do a thorough investigation of the technique, and demonstrate its power by applying it to high fidelity transport, trap expansion and splitting in ultracold atoms systems in anharmonic traps. Close analysis of these processes also leads to insights into the structure of the orthogonality catastrophe phenomenon.

9 pages, 6 figures

References in corpus (25)

• Theory of ultracold Fermi gases
• Pairing and Phase Separation in a Polarized Fermi Gas
• Fast optimal frictionless atom cooling in harmonic traps
• Shortcuts to adiabaticity
• Shortcut to adiabatic passage in two and three level atoms
• Deterministic Preparation of a Tunable Few-Fermion System
• Phase diagram of a two-component Fermi gas with resonant interactions
• Fast atomic transport without vibrational heating
• Microscopic Observation of Pauli Blocking in Degenerate Fermionic Lattice Gases
• Pauli Blocking of Collisions in a Quantum Degenerate Atomic Fermi Gas
• Orthogonality catastrophe as a consequence of qubit embedding in an ultra-cold Fermi gas
• Optimal transport of ultracold atoms in the non-adiabatic regime
• Fast transport of Bose-Einstein condensates
• Fast quasi-adiabatic dynamics
• Fast transitionless expansions of cold atoms in optical Gaussian beam traps
• Quenching small quantum gases: Genesis of the orthogonality catastrophe
• Inhibition of spontaneous emission in Fermi gases
• Vibrational mode multiplexing of ultracold atoms
• Collisional relaxation in a fermionic gas
• Fast and optimal transport of atoms with non-harmonic traps
• Optimal shortcuts for atomic transport in anharmonic traps
• Engineering fast and stable splitting of matter waves
• Preparation of atomic Fock states by trap reduction
• Atom Fock state preparation by trap reduction
• Spontaneous Emission in ultra-cold spin-polarised anisotropic Fermi Seas

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• Adiabatic Shortcuts Completion in Quantum Field Theory: Annihilation of Created Particles
• Fast adiabatic control of an optomechanical cavity