eprintid: 31511
rev_number: 13
eprint_status: archive
userid: 6625
dir: disk0/00/03/15/11
datestamp: 2022-04-19 09:20:18
lastmod: 2022-04-19 11:14:09
status_changed: 2022-04-19 09:20:18
type: doctoralThesis
metadata_visibility: show
creators_name: Ferracini Alves, Renato
title: Realization of a Heisenberg XXZ spin system using Rydberg atoms
subjects: 530
divisions: 130200
adv_faculty: af-13
keywords: spin physics; atomic physics; quantum simulation; quantum dynamics
abstract: In this thesis, we present the realization of an isolated Heisenberg XXZ spin 1/2 system with an off-diagonal
disorder in the coupling constants using cold atoms in highly excited Rydberg states. We select a set of
Rydberg states that interact via van der Waals interaction which can be mapped onto an interacting spin
system. We investigate the out-of-equilibrium dynamics of the spin system after it has been initialized in
a fully magnetized state. Following unitary evolution governed by the Heisenberg spin Hamiltonian, we
measure the magnetization as a function of the evolution time. By fitting a stretched exponential function
to the resulting magnetization dynamics be obtain a stretched exponent of β = 0.32 revealing a slow
relaxation of the spin system, similar to what is found in spin glasses. By choice, the initial state is an
eigenstate of the mean-field Hamiltonian and thus the observed relaxation indicates that the dynamics are
triggered by quantum fluctuations. We find that varying the distribution of coupling constants by means
of the so-called dipole blockade effect has no impact on the stretching exponent indicating that it is
a universal parameter of the system independent of the microscopic details for the range of disorder
explored in the experiment. It also allows us to combine the different datasets by re-scaling the time
domain with the characteristic interaction strength. The combined datasets expand our measurements to
two orders of magnitude in the re-scaled time-domain showing that slow dynamics is a persistent effect
for long evolution times.
date: 2022
id_scheme: DOI
id_number: 10.11588/heidok.00031511
ppn_swb: 1799750884
own_urn: urn:nbn:de:bsz:16-heidok-315114
date_accepted: 2022-02-02
advisor: HASH(0x564ef406d098)
language: eng
bibsort: FERRACINIAREALIZATIO2022
full_text_status: public
place_of_pub: Heidelberg
citation:   Ferracini Alves, Renato  (2022) Realization of a Heisenberg XXZ spin system using Rydberg atoms.  [Dissertation]     
document_url: https://archiv.ub.uni-heidelberg.de/volltextserver/31511/1/20220413%20renato%20ferracini%20alves%20dissertation%20final.pdf