In this Master’s thesis, we have focused on the description of three-level quantum systems through master equations for their density matrix, involving a recently proposed non-linear thermodynamic one. The first part is focused on a three-level system interacting with two heat baths, a hot and a cold one. We investigated the rate of heat flow from the hot to the cold bath through the quantum system, and how the steady-state is approached. Additional calculations here refer to the rate of entropy production and the evolution of all elements of the density matrix of the system from an arbitrary initial state to their equilibrium or steady-state value. The results are compared against those of a linear, Lindblad-type master equation designed so that for a quantum system interacting with only one heat bath, the same final Gibbs steady state is attained. In the second part of this thesis, we focus on the electromagnetically induced transparency (EIT), a phenomenon typically achievable only in atoms with specific energy structures. For a three level system (to which the present study has focused), for example, EIT requires two dipole allowed transitions (the 1-3 and the 2-3) and one forbidden (the 1-2). The phenomenon is observed when a strong laser (termed the control laser) is tuned to the resonant frequency of the upper two levels. Then, as a weak probe laser is scanned in frequency across the other transition, the medium is observed to exhibit both: a) transparency at what was the maximal absorption in the absence of the coupling field, and b) large dispersion effects at the atomic resonance. We discuss the Hamiltonian describing the phenomenon and we present results from two types of master equations: a) an empirically modified Von-Neumann one allowing for decays from each energy state, and b) a typical Lindblad one, with time-dependent operators. In the first case, an analytical solution is possible, which has been confirmed through a direct solution of the full master equation. In the second case, only numerical results can be obtained. We present and compare results from the two master equations for the susceptibility of the system with respect to the probe field, and we discuss them in light also of available experimental data for this very important phenomenon. / Η παρούσα εργασία επικεντρώνεται στην περιγραφή των κβαντικών συστημάτων τριών καταστάσεων μέσω εξισώσεων master για την μήτρα πυκνότητας πιθανότητάς τους (density matrix), συμπεριλαμβάνοντας μία πρόσφατα προτεινόμενη μη-γραμμική θερμοδυναμική εξίσωση. Το πρώτο μέρος εστιάζει σε ένα σύστημα τριών καταστάσεων το οποίο βρίσκεται σε αλληλεπίδραση με δύο λουτρά θερμότητας, ένα θερμό και ένα ψυχρό. Εξετάζεται ο ρυθμός ροής θερμότητας από το θερμό προς το ψυχρό λουτρό μέσω του κβαντικού συστήματος, και με ποιον τρόπο επιτυγχάνεται η μόνιμη κατάσταση. Επιπλέον υπολογισμοί αναφέρονται στον ρυθμό παραγωγής της εντροπίας και στην εξέλιξη όλων των στοιχείων της μήτρας πυκνότητας πιθανότητας από μία τυχαία αρχική κατάσταση προς την ισορροπία ή τη μόνιμη κατάσταση. Τα αποτελέσματα παρουσιάζονται συγκριτικά με εκείνα μιας γραμμικής, τύπου Lindblad master εξίσωσης, κατάλληλα σχεδιασμένης ώστε στην ειδική περίπτωση ενός κβαντικού συστήματος σε αλληλεπίδραση με ένα λουτρό θερμότητας επιτυγχάνεται η ίδια τελική μόνιμη κατάσταση Gibbs. Στο δεύτερο μέρος, εστιάζουμε στην ηλεκτρομαγνητικά επαγόμενη διαφάνεια (electromagnetically induced transparency (EIT)), ένα φαινόμενο το οποίο τυπικά είναι εφικτό μόνο σε άτομα με ειδικές ενεργειακές δομές. Για ένα σύστημα τριών καταστάσεων (στο οποίο επικεντρώνεται η παρούσα εργασία), για παράδειγμα, το ΕΙΤ απαιτεί δύο διπολικά επιτρεπτές μεταβάσεις (την 1-3 και την 2-3) και μία απαγορευμένη (την 1-2). Το φαινόμενο παρατηρείται όταν ένα ισχυρό laser (το αποκαλούμενο ως control laser) συντονίζεται στη συχνότητα των δύο άνω ενεργειακών σταθμών. Τότε, καθώς ένα ασθενές probe laser ανιχνεύεται με συχνότητα όμοια με της άλλης επιτρεπόμενης μετάβασης, το μέσο παρατηρείται να εμφανίζει τα εξής: α) διαφάνεια στο σημείο μέγιστης απορρόφησης απουσία του control πεδίου, και β) έντονα φαινόμενα διασποράς στον ατομικό συντονισμό. Θα συζητήσουμε τη Χαμιλτονιανή που περιγράφει το φαινόμενο και θα παρουσιάσουμε αποτελέσματα από δύο εξισώσεις master: α) μία εμπειρική τροποποιημένη Von-Neumann εξίσωση επιτρέποντας τις απώλειες από κάθε ενεργειακή κατάσταση, και β) μία τυπική Lindblad εξίσωση, με χρόνο-εξαρτώμενους τελεστές. Στην πρώτη περίπτωση, είναι πιθανή η εύρεση μιας αναλυτικής λύσης, η οποία έχει επιβεβαιωθεί μέσω μιας άμεσης (direct) λύσης της πλήρους εξίσωσης master. Στη δεύτερη περίπτωση, μπορούν να ληφθούν μόνο αριθμητικά αποτελέσματα. Παρουσιάζονται και συγκρίνονται τα αποτελέσματα που ελήφθησαν από τις δύο master εξισώσεις και αφορούν την επιδεκτικότητα (susceptibility) του συστήματος σε σχέση με το probe πεδίο, και τέλος συζητιούνται σε σχέση με διαθέσιμα πειραματικά δεδομένα γι’ αυτό το πολύ σημαντικό φαινόμενο.

Στην εργασία αυτή μελετούμε φαινόμενα μεταβατικής (χρονικά εξαρτημένης) απορρόφησης σε δύο συστήματα κβαντικών τελειών, κάτω από συνθήκες που οδηγούν τις κβαντικές τελείες να εμφανίσουν σε στάσιμη κατάσταση φαινόμενα οπτικής διαφάνειας, και πιο συγκεκριμένα ηλεκτρομαγνητικά επαγόμενη διαφάνεια και οπτική διαφάνεια λόγω εξωτερικού δυναμικού. Μετά από μια σχετικά σύντομη εισαγωγή στις κβαντικές τελείες και στο φαινόμενο και την ιστορία της ηλεκτρομαγνητικά επαγόμενης διαφάνειας, τα συστήματα των κβαντικών τελειών μελετώνται με την μεθοδολογία του πίνακα πυκνότητας, η οποία αναπτύσσεται στην παρούσα εργασία. Τα αποτελέσματα που εξάγουμε προκύπτουν από αριθμητικές λύσεις των αντίστοιχων εξισώσεων του πίνακα πυκνότητας για διάφορες τιμές παραμέτρων. / In this thesis we study transient absorption in two quantum dot systems under the conditions of optical transparency. We will study two types of transparency; the first is voltage-controlled transparency and the second electromagnetically induced transparency. The thesis starts with a short introduction in quantum dot nanostructures that is followed by an introduction to the phenomenon and the history of electromagnetically induced transparency. We then study the coherent interaction of the electromagnetic fields with the quantum dots with the methodology of the density matrix that is analysed in the thesis. We solve the appropriate density matrix equations numerically for the structures under study and present results for several system parameters.

The author of this thesis concentrates his attention on quantum optical properties of some artificial electromagnetic media, such as quantum coherent atomic vapors (various multilevel electromagnetically induced transparency vapors) and negative refractive index materials, and suggests some possible ways to manipulate wave propagations inside the artificial electromagnetic materials based on quantum coherence and quantum vacuum effects. In Chapters 1 and 2, the author reviews the previous papers on quantum coherence as well as the relevant work such as electromagnetically induced transparency (EIT), atomic population trapping and their various applications. The basic concepts of quantum coherence (atomic phase coherence, quantum interferences within atomic energy levels) and quantum vacuum are introduced, and the theoretical formulations for treating wave propagations in quantum coherent media are presented. In Chapter 3, the author considers three topics on the manipulation of light propagations via quantum coherence and quantum interferences: i) the evolutional optical behaviors (turn-on dynamics) of a four-level N-configuration atomic system is studied and the tunable optical behavior that depends on the intensity ratio of the signal field to the control field is considered. Some typical photonic logic gates (e.g. NOT and NOR gates) are designed based on the tunable four-level optical responses of the N-configuration atomic system; ii) the destructive and constructive quantum interferences between two control transitions (driven by the control fields) in a tripod-type four-level system is suggested. The double-control quantum interferences can be utilized to realize some photonic devices such as the logic-gate devices, e.g., NOT, OR, NOR and EXNOR gates; iii) some new quantum coherent schemes (using EIT and dressed-state mixed-parity transitions) for realizing negative refractive indices are proposed. The most remarkable characteristic (and advantage) of the present scenarios is such that the isotropic left-handed media (with microscopic structure units at the atomic level) in the optical frequency band can be achieved. Quantum vacuum (the ground state of quantized fields) can exhibit many interesting effects. In Chapter 4, we investigate two quantum-vacuum effects in artificial materials: i) the anisotropic distribution of quantum-vacuum momentum density in a moving electromagnetic medium; ii) the angular momentum transfer between quantum vacuum and anisotropic medium. Such quantum-vacuum macroscopic mechanical effects could be detected by current technology, e.g., the so-called fiber optical sensor that can measure motion with nanoscale sensitivity. We expect that these vacuum effects could be utilized to develop sensitive sensor techniques or to design new quantum optical and photonic devices.In Chapter 5, the author suggests some interesting effects due to the combination of quantum coherence and quantum vacuum, i.e., the quantum coherent effects, in which the quantum-vacuum fluctuation field is involved. Two topics are addressed: i) spontaneous emission inhibition due to quantum interference in a three-level system; ii) quantum light-induced guiding potentials for coherent manipulation of atomic matter waves (containing multilevel atoms). These quantum guiding potentials could be utilized to cool and trap atoms, and may be used for the development of new techniques of atom fibers and atom chips, where the coherent manipulation of atomic matter waves is needed.In Chapter 6, we conclude this thesis with some remarks, briefly discuss new work that deserves further consideration in the future, and present a guide to the previously published papers by us. / QC 20100810

Submitted by Murilo Oliveira (murilo.oliveira@df.ufscar.br) on 2018-05-28T14:03:10Z No. of bitstreams: 1 MuriloOliveira_dissertacao.pdf: 3213764 bytes, checksum: eaf61f839f12dceed4b235ef7970e674 (MD5) / Rejected by Ronildo Prado (ri.bco@ufscar.br), reason: Oi Murilo, Faltou enviar a Carta comprovante assinada pelo orientador. Solicite o modelo em sua Secretaria de Pós-graduação, preencha e colete a assinatura com o orientador e acesse novamente o sistema para fazer o Upload. Fico no aguardo para finalizarmos o processo. Abraços Ronildo on 2018-06-04T17:58:14Z (GMT) / Submitted by Murilo Oliveira (murilo.oliveira@df.ufscar.br) on 2018-06-04T18:39:43Z No. of bitstreams: 2 MuriloOliveira_dissertacao.pdf: 3213764 bytes, checksum: eaf61f839f12dceed4b235ef7970e674 (MD5) IMG_20180604_0001.pdf: 522878 bytes, checksum: b7fa478fbcdf1b45955f8a02f8403af0 (MD5) / Approved for entry into archive by Ronildo Prado (ri.bco@ufscar.br) on 2018-06-06T17:29:19Z (GMT) No. of bitstreams: 2 MuriloOliveira_dissertacao.pdf: 3213764 bytes, checksum: eaf61f839f12dceed4b235ef7970e674 (MD5) IMG_20180604_0001.pdf: 522878 bytes, checksum: b7fa478fbcdf1b45955f8a02f8403af0 (MD5) / Approved for entry into archive by Ronildo Prado (ri.bco@ufscar.br) on 2018-06-06T17:32:09Z (GMT) No. of bitstreams: 2 MuriloOliveira_dissertacao.pdf: 3213764 bytes, checksum: eaf61f839f12dceed4b235ef7970e674 (MD5) IMG_20180604_0001.pdf: 522878 bytes, checksum: b7fa478fbcdf1b45955f8a02f8403af0 (MD5) / Made available in DSpace on 2018-06-06T17:32:18Z (GMT). No. of bitstreams: 2 MuriloOliveira_dissertacao.pdf: 3213764 bytes, checksum: eaf61f839f12dceed4b235ef7970e674 (MD5) IMG_20180604_0001.pdf: 522878 bytes, checksum: b7fa478fbcdf1b45955f8a02f8403af0 (MD5) Previous issue date: 2018-02-28 / Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) / The aim of this work is to study the electromagnetically induced transparency (EIT) and the coherent population trapping (CPT) phenomena in three-level systems, such as atoms and quantum dot molecules (QDM). The present work can be basically divided into two parts. The first one focus on comparing and explaining the differences between the optical reponses of systems composed by atoms and QDM and on proposing a possible application in cavity linewidth narrowing. In the second part, we turn our attention to the study of controlable optical bistability in three-level systems in the regime of CPT, bringing new perspectives to the study of these bistable systems and some practical applications as well. / O presente trabalho de mestrado tem como objetivo estudar o fenômeno da transparência eletromagneticamente induzida (EIT) e do aprisionamento coerente de populações (CPT) em sistemas de três níveis, como átomos e moléculas de ponto quântico (QDM). Essa dissertação pode ser dividida basicamente em duas partes. A primeira se encarrega de comparar e explicar a origem das diferenças observadas na resposta óptica de sistemas compostos por átomos e sistemas compostos por QDM, bem como propor uma possível aplicação para o sistema de QDM no estreitamento da largura de linha de cavidades. Já a segunda parte consiste de um estudo da biestabilidade óptica controlável em sistemas de 3 de níveis no regime de CPT, trazendo novas perspectivas de estudo desses sistemas biestáveis e aplicações como sensores de pequenas flutuações de frequência ou de amplitudes de campos eletromagnéticos. / CNPq: 131392/2016-6

Made available in DSpace on 2016-06-02T20:15:28Z (GMT). No. of bitstreams: 1 5145.pdf: 3696466 bytes, checksum: a50814528dfffc17767d4ca059a77ac6 (MD5) Previous issue date: 2013-03-27 / Universidade Federal de Minas Gerais / We investigate in this thesis the control of absorptive optical bistability in a standing wave optical cavity filled with a collection of two and three-level noninteracting atoms weakly coupled to a single electromagnetic mode of a optical resonator. The observed control for the three-level configuration happens under cavity coherent population trapping conditions, it is sensitive to the induced atomic coherence in the system and it can be manipulated through different parameters. We propose some applications presenting a new effect, named by ourselves as complementary optical bistability. It is very interesting to exploit bistability phenomenon to perform bistable cascade devices, such as an optical transistor. We also study the all-optical control of the quantum fuctuations of a beam via a combination of single-atom cavity quantum electrodynamics (CQED) and electromagnetically induced transparency (EIT). Specifically, the EIT control field is used to tune the CQED transition frequencies in and out of resonance with the probe light. In this way, single-photon and two-photon blockade and anti-blockade effects are employed to produce sub-Poissonian and super-Poissonian light fields, respectively. The achievable quantum control paves the way towards the realization of a prototype of a quantum transistor which amplifies or attenuates the noise. Its feasibility is demonstrated by calculations using realistic parameters from recent experiments. / Nesta tese estudamos o controle da biestabilidade óptica absortiva em uma cavidade linear contendo uma coleção de átomos de dois e três níveis não interagentes fracamente acoplados a um único modo do campo. Mostramos que o controle para a configuração atômica de três níveis ocorre apenas nas condições de aprisionamento coerente de população e que o mesmo é sensível à coerência atômica induzida no sistema podendo ser manipulado através de diferentes parâmetros. Propomos algumas aplicações apresentando um efeito novo, o qual denominamos de biestabilidade óptica complementar, muito interessante para explorar dispositivos ópticos biestáveis com funções de cascatabilidade, como um transistor óptico. Estudamos também o controle óptico das flutuações do campo de prova pela combinação do fenômeno de transparência eletromagneticamente induzida para um único átomo no regime de acoplamento forte em eletrodinâmica quântica de cavidades. Especificamente, o campo de controle é utilizado para ajustar as frequências de transição dos estados vestidos ressonantemente ou quase ressonantemente com o campo de prova do sistema. Desta forma, efeitos de bloqueio de um e dois fótons e anti-bloqueio são observados produzindo campos sub- e super-Poissonianos, respectivamente. O controle quântico obtido pode ser promissor para a realização de um protótipo de um transistor quântico que amplifica e atenua flutuações quânticas do campo transmitido pelo sistema. A viabilidade desse dispositivo é demonstrada através de cálculos utilizando parâmetros de experimentos recentes.

Universidade Federal de Uberlândia / In this work we investigate theoretically the dissipative dynamics of exciton states in a system constituted by coupled quantum dots, which in turn exhibit a great flexibility and experimental ability to change their energy spectrum and structural geometry through of external electric fields. In this way, the optical coherent control of charge carriers enables the investigation of several quantum interference process, such as tunneling induced transparency. We investigate the optical response of the quantum dot molecule considering different optical regimes and electric field values, where the tunneling between the dots can establish efficiently quantum destructive interference paths causing significant changes on the optical spectrum. Using realistic experimental parameters we show that the excitons states coupled by tunneling exhibit a controllable and enriched optical response. In this system, we also investigate the entanglement degree between the electron and hole, and we demonstrate through of the control of parameters such as, the applied gate voltage, the incident laser frequency and intensity, the system goes to an asymptotic state with a high entanglement degree, which is robust to decoherence process. / Neste trabalho investigamos teoricamente a dinâmica dissipativa de estados de éxcitons em um sistema formado por pontos quânticos duplos, que por sua vez apresentam uma grande flexibilidade e capacidade experimental em alterar seu espectro de energia juntamente com sua forma estrutural por meio de campos elétricos externos. Deste modo, o controle óptico coerente de portadores de carga nessas nanoestruturas permite a investigação de diversos processos de interferência quântica, tais como transparência induzida por tunelamento. Investigamos a resposta óptica da molécula quântica considerando diferentes regimes ópticos e valores de campo elétrico, nos quais o tunelamento entre os pontos pode estabelecer eficientemente caminhos de interferência quântica destrutiva provocando mudanças significativas no espectro óptico. Usando parâmetros experimentais realísticos mostramos que os estados excitônicos acoplados por tunelamento exibem uma resposta óptica controlável e bastante enriquecida. Neste mesmo sistema, investigamos o emaranhamento entre elétron e buraco, e demonstramos que através do controle de parâmetros tais como, a barreira de potencial aplicada, a frequência e intensidade do laser incidente, o sistema evolui para um estado assintótico com um alto grau de emaranhamento, que se apresenta robusto a processos de decoerência. / Doutor em Física

No description available.

This thesis presents rubidium packaging methods for integration using anti-resonant reflecting optical waveguides (ARROWs) on a planar chip. The atomic vapor ARROW confines light through rubidium vapor, increases the light-vapor interaction length, decreases the size of the atomic cell to chip scales, and opens up possibilities for waveguide systems on chips for additional optoelectronic devices. Rubidium vapor packaging for long-life times are essential for realizing feasibly useful devices. Considerations of outgassing, leaking and chemical compatibilities of materials in rubidium vapor cells lead to an all-metal design. The effect of these characteristics on the rubidium D2 line spectra is considered.

We investigate two different coupling schemes between a nano-scale mechanical resonator and one-electron atoms. In these schemes, classical electromagnetic radiation mediates a mutual communication between the mechanical resonator and the atoms. In the process it generates atomic coherences, quantum superpositions of excited electronic levels of the atoms. An atomic coherence is highly responsive to subtle variations in the relative frequencies of the levels participating in such superposition state. By exposing the atoms to electromagnetic radiation modulated by the motion of the mechanical resonator, we show how the response of an atomic coherence can, under appropriate conditions, be used to affect on demand the dynamical state of the mechanical resonator. The first scheme realizes a long range interface between a mechanical resonator and an ensemble of three-level atoms. Here, mechanically modulated electromagnetic radiation comes from a laser beam reflected off an oscillating mirror, the mechanical resonator. This light beam drives the transition between an excited level and a hyperfine sublevel of the atoms with a certain detuning. A weaker light beam resonantly couples to the transition between the excited level and another hyperfine sublevel. On full resonance, the atoms evolve into a stationary coherence of the above (non-absorbing) hyperfine sublevels only. The atoms then become transparent to the weaker light beam, in a phenomenon called electromagnetically induced transparency. Off resonance, we find that this transparency is modulated at the mirror frequency with some phase shift, which allows the weaker beam to cause resonant backaction onto the moving mirror. The strength of this backaction is enhanced near atomic resonances and its character can be switched between amplification or damping of mirror vibrations by adjusting the detuning. In contrast, the second scheme accomplishes a closer range interface between a torsion pendulum and guided two level Rydberg atoms. Attaching a point electric dipole to the torsion pendulum allows electromagnetic coupling to two Rydberg levels of a passing atom. This coupling modifies the eigenfrequencies of the Rydberg levels such that they become dependent on the phonon number of the torsion pendulum. Via Ramsey interferometry, we may readout this effect and thus measure the phonon number. We show that, by subjecting several atoms, one by one, to a Ramsey measurement, a quantum non-demolition detection of the phonon number is feasible. Likewise, we show coherent oscillator displacements possible, by driving the atoms with external fields while they interact with the torsion pendulum. We propose a protocol to reconstruct the quantum state of motion of the torsion pendulum, combining these two techniques, Ramsey measurements and oscillator displacements. Our interfaces between a mechanical resonator and atoms provide alternative routes for the control of the state of motion, ultimately quantum mechanical, of a mechanical resonator, in which the latter is not restricted to be part of a cavity. We will thus ease quantum dynamical manipulations of mechanical resonators of sub micron scales, for which an efficient design of cavity opto- and electro-mechanical systems is hard.