English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Tools annual

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

Recent cold atom experiments have realized models where each hyperfine stateat an optical lattice site can be regarded as a separate site in a syntheticdimension. In such synthetic ribbon configurations, manipulation of thetransitions between the hyperfine levels provide direct control of the hoppingin the synthetic dimension. This effect was used to simulate a magnetic fieldthrough the ribbon. Precise control over the hopping matrix elements in thesynthetic dimension makes it possible to change this artificial magnetic fieldmuch faster than the time scales associated with atomic motion in the lattice.In this paper, we consider such a magnetic flux quench scenario in syntheticdimensions. Sudden changes have not been considered for real magnetic fields assuch changes in a conducting system would result in large induced currents.Hence, we first study the difference between a time varying real magnetic fieldand an artificial magnetic field using a minimal six site model. This minimalmodel clearly shows the connection between gauge dependence and the lack of onsite induced scalar potential terms. We then investigate the dynamics of awavepacket in an infinite two or three leg ladder following a flux quench andfind that the gauge choice has a dramatic effect on the packet dynamics.Specifically, a wavepacket splits into a number of smaller packets. Both theweights and the number of packets depend on the implemented gauge. If aninitial packet, prepared under zero flux in a n--leg ladder, is quenched toHamiltonian with a vector potential parallel to the ladder; it splits into atmost $n$ smaller wavepackets. The same initial packet splits up to $n^2$packets if the vector potential is implemented to be along the rungs. Finally,we show that edge states in a thick ribbon are robust under the quench onlywhen the same gap supports an edge state for the final Hamiltonian.

Artificial Magnetic Field Quenches in Synthetic Dimensions