eprintid: 15136
rev_number: 14
eprint_status: archive
userid: 649
dir: disk0/00/01/51/36
datestamp: 2013-06-26 09:24:13
lastmod: 2013-07-02 13:32:45
status_changed: 2013-06-26 09:24:13
type: doctoralThesis
metadata_visibility: show
creators_name: Parra Murillo, Carlos Alberto
title: Many-Body Dynamics of Ultracold Atoms in Optical Lattices
subjects: ddc-530
divisions: i-130300
adv_faculty: af-13
keywords: Wannier-Stark, Optical lattices, Quantum Chaos, Many-Body Dynamics
cterms_swd: Wannier-Stark System
cterms_swd: Quantum Chaos
cterms_swd: Many-Body Dynamics
abstract: In this work, we study complex many-body systems consisting of ultracold bosonic atoms in optical lattices.Motivated by the state-of-the-art of experiments realizing higher bands physics with ultracold atoms, we use a one-dimensional bichromatic optical lattice, whose properties permit to engineer a very well isolated two-band system. The underlying single- and manyparticle physics is investigated based on a two-band Bose-Hubbard Hamiltonian. An external
Stark force is introduced to drive the inter-band dynamics. In a first, andmain part of thiswork, we numerically characterize ourmany-bodyWannier-Stark systemthrough its spectral and dynamical properties, in terms of important system parameters. We present a detailed study of
the diffusion in Hilbert space. Relaxation and controlled non-adiabatic dynamics are studied by driving the system across the spectral resonances, mainly by using quantum sweeps. In a second part, we implement an effective Hamiltonian in order to characterize the spectral properties
of a leaky one-dimensional optical lattice with controlled dissipation. We show that the stability of long-lived localizedmany-body states, i.e. discrete solitonic states, can be described with good accuracy by the decay rates statistics of the accessible complex energy spectrum of
the effective (non-hermitian)Hamiltonian.
date: 2013
id_scheme: DOI
id_number: 10.11588/heidok.00015136
ppn_swb: 1652475001
own_urn: urn:nbn:de:bsz:16-heidok-151366
date_accepted: 2013-05-29
advisor: HASH(0x55a718472920)
language: eng
bibsort: PARRAMURILMANYBODYDY2013
full_text_status: public
place_of_pub: Heidelberg
citation:   Parra Murillo, Carlos Alberto  (2013) Many-Body Dynamics of Ultracold Atoms in Optical Lattices.  [Dissertation]     
document_url: https://archiv.ub.uni-heidelberg.de/volltextserver/15136/1/Dissertation_CarlosParraMurillo.pdf