04/13/2020
Physics Faculty & Grads,
Tomorrow, Tuesday, April 14, 2020, Michael Stewart will be holding his Doctoral Defense.
Dynamics of Matter-Wave Quantum Emitters in Engineered Reservoirs
By Michael Stewart
Date: April 14, 2020
Program: Physics
Time: 10:00 am
Dissertation Advisor: Dominik Schneble (AMO)
Place:
Virtual conferencing (contact [email protected] for access)
ABSTRACT:
Bose-Einstein Condensates (BECs) confined in optical lattices provide a rich playground for studying the physics of complicated quantum systems in an exquisitely well controlled manner. In this dissertation, we experimentally study an array of matter-wave emitters realized with ultracold 87Rb atoms confined in an array of one-dimensional tubes, and we report for the first time on emission experiments into a band structure. By varying the bandwidth, we are able to demonstrate a transition from (mostly) Markovian behavior to the limit of a pure Rabi-oscillation, as in cavity quantum-electrodynamics, and we also characterize the structure of two bound states, above and below the band, whose spatial shape is strongly modified by the underlying lattice band structure.
We develop a theoretical model for the quantitative understanding of these and earlier results on emission from an isolated emitter into free space. The modeling treats the emitter as a simple open-quantum-system in which the harmonic oscillator ground state of a deep well of a state-selective optical lattice potential is coupled to a gapped continuum of momentum states. We solve this model by directly integrating the Schrödinger equation using Laplace transforms and the tools of complex analysis, and we make predictions for deviations from Weisskopf-Wigner type Markovian decay for experimentally realistic parameter regimes, most notably, for the case where the emitter energy is small or else negative. We connect these decay behaviors to the existence of bound states, in which the emitted matter-waves are unable to fully escape the originating emitter. The number and character of these bound states, as well as their effect on the observable dynamics is explored for the case of a free-particle dispersion with a single energetic edge, as well as for a sinusoidal dispersion with two energetic edges.