Atomic Fock states by gradual trap reduction: from sudden to adiabatic limits

TL;DR

This paper explores how to create high-fidelity atomic Fock states by gradually reducing a trap, analyzing the effects of different ramping speeds on state fidelity in quantum gases.

Contribution

It demonstrates the conditions under which atomic Fock states can be optimally prepared through trap manipulation, bridging sudden and adiabatic regimes.

Findings

Fidelity peaks at specific ramping times

Non-monotonic fidelity behavior with change rate

Optimal trap reduction strategies identified

Abstract

We investigate the possibility to form high fidelity atomic Fock states by gradual reduction of a quasi one dimensional trap containing spin polarized fermions or strongly interacting bosons in the Tonk-Girardeau regime. Making the trap shallower and simultaneously squeezing it can lead to the preparation of an ideal atomic Fock state as one approaches either the sudden or the adiabatic limits. Nonetheless, the fidelity of the resulting state is shown to exhibit a non-monotonic behaviour with the time scale in which the trapping potential is changed.