# Quantum Coherent Control via Pauli Blocking

## TL;DR

This paper introduces a novel quantum control method using Pauli blocking to prevent unwanted transitions in fermionic systems, enabling faster adiabatic processes in ultracold atom experiments.

## Contribution

The paper presents a new technique leveraging Pauli blocking to accelerate adiabatic quantum control in fermionic systems, demonstrated through ultracold atom applications.

## Key findings

- Pauli blocking effectively prevents unwanted excitations.
- The method enables faster adiabatic evolutions.
- Insights into the orthogonality catastrophe are gained.

## 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.