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The dynamics of ultracold atoms in light-induced synthetic gauge fields

Abraham J. Olson

Published Jan 1, 2015• 0 citations
OpenAlex

Abstract

A central aim of this research is to study the dynamics of ultracold atoms in synthetic gauge fields. In this work, we developed a method to optimize the evaporation of ultracold atoms to the Bose-Einstein condensate (BEC) phase. We implement a model of atomic evaporation in a trapping potential, and we find optimal parameters for the trap depth and stiffness during evaporation. Using this model, we achieve a high efficiency of optical evaporation (γ eff = 4.0). Using that BEC, we study the dynamics of the BEC in various light-induced synthetic gauge fields. In particular, we have studied the transition between adiabatic and diabatic transport in a spin-orbit (SO) coupled BEC, and found the behavior to be well understood by the Landau-Zener (LZ) theory. Various parameters of the SO coupled BEC were explored, and we demonstrated the ability to use such LZ transitions as the basis of an atomic transistor. Finally, we created a novel type of 3π spin-orbit coupling for ultracold atoms using modulated Raman coupling. Using the 3π SO coupling eigenlevel structure, we observed a Stueckelberg type interference of the BEC. We developed a model of Stueckelberg type interferometers, and we were able to quantitatively account for the observed interference fringes.

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A central aim of this research is to study the dynamics of ultracold atoms in synthetic gauge fields. In this work, we developed a method to optimize the evaporation of ultracold atoms to the Bose-Einstein condensate (BEC) phase. We implement a model of atomic evaporation in a trapping potential, and we find optimal parameters for the trap depth and stiffness during evaporation. Using this model, we achieve a high efficiency of optical evaporation (γ eff = 4.0). Using that BEC, we study the dynamics of the BEC in various light-induced synthetic gauge fields. In particular, we have studied the transition between adiabatic and diabatic transport in a spin-orbit (SO) coupled BEC, and found the behavior to be well understood by the Landau-Zener (LZ) theory. Various parameters of the SO coupled BEC were explored, and we demonstrated the ability to use such LZ transitions as the basis of an atomic transistor. Finally, we created a novel type of 3π spin-orbit coupling for ultracold atoms using modulated Raman coupling. Using the 3π SO coupling eigenlevel structure, we observed a Stueckelberg type interference of the BEC. We developed a model of Stueckelberg type interferometers, and we were able to quantitatively account for the observed interference fringes.
In this thesis I will describe my experiments to study spin transport of spin Bose Einstein Condensates (BECs) with synthetic spin-orbit coupling. First I will describe procedures used to reproduce previous experiments with synthetic gauge fields in Bose-Einstein Condensates, from constant vector potentials to synthetic electric fields and synthetic spin-orbit coupling as well as all of the necessary calibration experiments. Next I will describe new experiments measuring spin transport induced by synthetic spin-dependent electric fields in spin-orbit coupled Bose-Einstein Condensates (BECs). The one dimensional (1D) spin-orbit coupling (SOC) is created with counter propagating Raman lasers which couple hyperfine sub-levels and momentum states of 87Rb, allowing us to engineer spin dependent vector potentials. Quickly lowering the Raman laser intensity, decreases the spin-orbit Raman coupling strength (Ω), separates the spin vector potentials and applies opposite synthetic electric fields to the two dressed spin BECs. We allow them to oscillate in opposite directions within the optical trap (exhibiting a spin dipole mode) and measure the time evolution of their momentum and density after time-of-flight (TOF). The damping of the oscillations as the spin BECs collide is found to drastically increase for larger final Raman coupling. Over longer time scales, the bare spins' oscillations damp and thermalize. However, with Raman coupling, dressed spins' oscillations are overdamped and accompanied by rich excitations in the BEC but less thermalization.
Since the realization of Bose-Einstein condensation in 1995, experimentalists in ultracold atomic gas community have developed a set of entirely new methods to study quantum gases. In ultracold atomic gases, implementation of synthetic gauge fields, the spin-orbit coupling, optical lattices and Feshbach resonances, provides a clean and highly controllable platform to tune the parameters of the system, which are typically fixed for real materials. Motivated by the rapid developments of experimental progresses, I investigate the ultracold atomic gases with synthetic gauge fields. \n \nIn this thesis, a bosonic gas in optical lattices in the presence of an effective staggered magnetic flux will be studied, using a generalized Bose-Hubbard model. Phase transition from the Mott insulating phase to the superfluid phase will be discussed. Novel superfluid phases including the stripe phase and the plane wave phase will be discussed. Furthermore, the existence of a tricritical point in the phase diagram is predicted. \n \nTo study Fermi systems with synthetic gauge fields, a spin-1=2 Fermi gas with Rashba spin-orbit coupling is investigated by studying the structure of vortex line through the Bardeen-Cooper-Schrieffer to Bose-Einstein condensation (BCSBEC) crossover. Due to the spin-orbit coupling, the s-wave interacting Fermi gas behaves like an effective p-wave paired system. A discussion about the vortex line structure will be provided by calculating the spatial distribution of the gap function, the density, the particle current, and also the elementary excitations. It has been found that the most robust superfluid occurs around the unitary point, indicated by the smallest healing length and the largest critical current. \n \nFinally, motivated by the recent progress of p-wave resonantly Fermi gas in experiment, an extension of Nozières-Schmitt-Rink method to the p-wave case will be given. An investigation of the normal state properties will be given by calculating the equation of state and the p-wave contacts, which have been measured by the experiment. Furthermore, the superfluid transition temperature with realistic parameters appropriate for experiment is calculated and is found to be within experimental reach.
The study of systems formed from ultracold atomic gases has emerged to become one of the most active research fields within the condensed matter landscape. These highly controllable macroscopic systems amalgamate ideas from many sub disciplines of physics, including the study of low temperatures, quantum optics and quantum information theory as well as the seemingly disparate field of high energy physics. The central concept of this thesis is gauge theories as applied to systems of bosonic atoms, which at temperatures close to absolute zero form Bose-Einstein condensates. To simulate the mathematical structure of a gauge theory, the geometric (Berry) phase formalism is adopted. This is in turn accomplished by considering the adiabatic following of the eigenstates of the light-matter coupling for an ensemble of atoms forming a Bose-Einstein condensate. These concepts are then applied to show how one can generate a spin-orbit coupling in a one-dimensional condensate, which additionally features a random mass term that allows us to study the physics of Anderson localization in an intriguing “quasi” relativistic regime. One of the features of light induced gauge potentials is that they are static; in the sense that there is no feedback between the light-matter interaction and the matter field. In the second part of this thesis it is demonstrated how such a feedback mechanism can be induced by the appropriate modification of the light-matter interaction. The consequences this has for the condensate are then described at the mean-field level, including the expected experimental signatures of the resulting ‘interacting’ gauge theory, in terms of the expansion of the condensate and also the structure of the solitons of this nonlinear system. Finally, this nonlinear model is applied to a double well system, from which the associated Bose-Hubbard model is derived and analysed; and the nonlinear Josephson problem studied.
This thesis presents experiments performed to investigate the non-equilibrium dynamics of ultracold bosons. In depth understanding of the behaviour of quantum systems when taken out of equilibrium is of particular interest, especially for the production of quantum computers where thermal effects cause undesirable behaviours. We present our experiments on the thermalization of a87Rb Bose-Einstein condensate taken out of equilibrium by a partial Bragg pulse. We measure the rate of thermalization of the system and measure the temperature of the thermalized state, and compare to numerical simulations. We observe the formation of grey solitons in the thermalized state consistent with the Kibble-Zurek mechanism. We also present experiments on artificial gauge potentials with Bose-Einstein condensates. We benchmark the experiments with a uniform synthetic potential and extend to spin-orbit coupled systems. We take the spin-orbit coupled BEC out of equilibrium through the application of a synthetic electric field and measure the thermalization process of the system. We measure the rate at which the system reaches equilibrium as a function of the final Raman coupling strength, and measure the temperature of the thermalized states. We observe the system thermalize into a spin-orbit coupled state with a the final temperature decreasing with increasing Raman coupling.
In recent decades, ultra-cold atomic gases (temperature scale of nano-Kelvin) have become versatile platforms to study many fascinating phenomena in various fields of physics, owing to their unprecedented purity and controllability of interactions and geometries. In this thesis, we aim to investigate a synthetic Raman-type spin-orbit coupling in a three-dimensional Bose gas. The spin-orbit coupling arising from the interaction of a particle’s spin with its motion plays a crucial role in physics. Our studies of the static and dynamic properties including the ground-state phases, collective oscillations, sound velocity and superfluidity, may help us better understand this exotic effect in nature.