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arXiv:2002.11926 · Physical Review A

Generation, manipulation, and detection of snake-state trajectories of a neutral atom in a ring cavity

Poornima Shakya, Nishant Dogra, Sankalpa Ghosh

Published Apr 26, 2024• 0 citations
arXivHTMLPDF

Abstract

We propose a setup to create and detect the atomic counterpart of snake-state trajectories which occur at the interface where the magnetic field reverses direction. Such a synthetic magnetic field is generated by coupling two counterpropagating modes of a ring cavity to a two-level atom. The spatial distribution and the strength of the induced magnetic field are controlled by the transverse- mode profile of the cavity modes and the number of photons in the two modes, respectively. By analyzing the atomic motion in such a magnetic field while including the cavity back-action, we find that the atom follows snake-state trajectories which can be nondestructively detected and reconstructed from the phase and the intensity of the light field leaking from the cavity. We finally show that the system parameters can be tuned to modify the transport properties of the snake states and even amplify the effect of cavity feedback, which can completely alter their topology.

DOI
10.1103/physreva.109.043530

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We propose a setup to create and detect the atomic counterpart of snake-state trajectories which occur at the interface where the magnetic field reverses direction. Such a synthetic magnetic field is generated by coupling two counterpropagating modes of a ring cavity to a two-level atom. The spatial distribution and the strength of the induced magnetic field are controlled by the transverse- mode profile of the cavity modes and the number of photons in the two modes, respectively. By analyzing the atomic motion in such a magnetic field while including the cavity back-action, we find that the atom follows snake-state trajectories which can be nondestructively detected and reconstructed from the phase and the intensity of the light field leaking from the cavity. We finally show that the system parameters can be tuned to modify the transport properties of the snake states and even amplify the effect of cavity feedback, which can completely alter their topology.
We propose the creation of an atomic analogue of electronic snake states in which electrons move along one-dimensional snake-like trajectory in the presence of a suitable magnetic field gradient. To this purpose, we propose the creation of laser induced synthetic gauge field inside a three-mirror ring cavity and show that under appropriate conditions, the atomic trajectory in such configuration mimics snake-state like motion. We analyse this motion using semi-classical and full quantum mechanical techniques for a single atom. We provide a detailed comparison of the original electronic phenomena and its atomic analogue in terms of relevant energy and length scales and conclude by briefly pointing out the possibility of consequent study of ultra cold condensate in similar ring-cavity configuration.
The interactions between light and matter are strongly enhanced when atoms are placed in high-finesse quantum cavities, offering tantalizing opportunities for generating exotic new quantum phases. In this work we show that both spin-orbit interactions and strong synthetic magnetic fields result when a neutral atom is confined within a ring cavity, whenever the internal atomic states are coupled to two off-resonant counter-propagating modes. We diagonalize the resulting cavity polariton Hamiltonian and find characteristic spin-orbit dispersion relations for a wide range of parameters. An adjustable uniform gauge potential is also generated, which can be converted into a synthetic magnetic field for neutral atoms by applying an external magnetic field gradient. Very large synthetic magnetic fields are possible, as the strength is proportional to the (average) number of photons in each of the cavity modes. The results suggest that strong-coupling cavity quantum electrodynamics can be a useful environment for the formation of topological states in atomic systems.
Previous realizations of synthetic gauge fields for ultracold atoms do not allow the spatial profile of the field to evolve freely. We propose a scheme which overcomes this restriction by using the light in a multimode cavity with many nearly degenerate transverse modes, in conjunction with Raman coupling, to realize an artificial magnetic field which acts on a Bose-Einstein condensate of neutral atoms. We describe the evolution of such a system and present the results of numerical simulations which show dynamical coupling between the effective field and the matter on which it acts. Crucially, the freedom of the spatial profile of the field is sufficient to realize a close analogue of the Meissner effect, where the magnetic field is expelled from the superfluid. This backaction of the atoms on the synthetic field distinguishes the Meissner-like effect described here from the Hess-Fairbank suppression of rotation in a neutral superfluid observed elsewhere.
A three-level atom in the $\ensuremath{\Lambda}$ configuration coupled to a microcavity is studied. The two transitions of the atom are assumed to couple to different counterpropagating mode pairs in the cavity. We analyze the dynamics both in the strong-coupling and the bad-cavity limits. We find that, compared to a two-level setup, the third atomic state and the additional control field modes crucially modify the system dynamics and enable more advanced control schemes. All results are explained using appropriate dressed-state and eigenmode representations. As potential applications, we discuss optical switching and turnstile operations and detection of particles close to the resonator surface.
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We show that Schrodinger cat states of photons can be prepared with effective magnetic fields gated by the quantum states of a two-level atom interacting with three cavities. By periodically modulating the cavity frequencies with different phases, opposite effective magnetic fields in the Fock-state lattice of cavity photons can be created for the two quantum states of the atom. A superposition of atomic states can guide photons from one cavity to a macroscopic superposition of the other two cavities. This mechanism provides a new platform for exploring quantum information and topological physics in novel lattices.