Synthetic gauge field in two interacting ultracold atomic gases without
an optical lattice
- URL: http://arxiv.org/abs/2207.00742v2
- Date: Mon, 10 Oct 2022 10:56:28 GMT
- Title: Synthetic gauge field in two interacting ultracold atomic gases without
an optical lattice
- Authors: J. Mumford
- Abstract summary: A 2D Fock-state lattice (FSL) is constructed from the many-body states of two interacting two-mode quantum gases.
We derive an effective Hamiltonian in the short pulse limit which resembles the Harper-Hofstadter Hamiltonian.
This work introduces a new avenue to explore synthetic gauge fields and provides a link between non-trivial condensed matter systems and quantum gases.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: A 2D Fock-state lattice (FSL is constructed from the many-body states of two
interacting two-mode quantum gases. By periodically driving the interspecies
interactions and pulsing the tunneling between the two modes of each gas, a
synthetic gauge field is generated. We derive an effective Hamiltonian in the
short pulse limit which resembles the Harper-Hofstadter Hamiltonian where the
magnetic flux per plaquette is controlled by the ratio of the interaction
energy and the driving frequency. The quasispectrum of the Floquet operator of
the driving sequence shows the celebrated Hofstadter's butterfly pattern as
well as the existence of edge states. From the calculation of the local Chern
marker, we establish that the FSL has non-trivial topology and by simulating
the dynamics of the edge states, show that they exhibit chirality. Finally, the
inclusion of the intraspecies interactions creates an overall harmonic trap in
the lattice and introduces the nonlinear effect of macroscopic quantum
self-trapping which is shown to hinder the movement along the edge of the
lattice. This work introduces a new avenue to explore synthetic gauge fields
and provides a link between non-trivial condensed matter systems and quantum
gases.
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