High-order Interference of Photons in Thermal State


Book Description

Superposition principle is one of the most challenging principles of quantum theory, especially in the multi-particle situation. In the language of quantum mechanics, the high-order quantum interference of multi-particle is the consequence of a superposition among different yet indistinguishable probability amplitudes, a non-classical entity corresponding to different yet indistinguishable alternative ways of producing a joint-detection event among distant detectors. In optics, the theory of multiphoton interference of quantum light such as entangled photons are well established and accepted. On the other hand, classical interpretation is frequently used to explain the multiphoton interference of classical light such as thermal light and pseudo-thermal light due to the historical reasons. In this dissertation, we will focus on the study of high-order interference of photons in thermal and pseudo-thermal states. Sunlight, as a typical thermal light, contains a large number of independent and randomly radiated point subsources resulted from the spontaneous atomic transitions. The atomic transitions emit subfields at random positions and times with random phases. The pseudo-thermal light, consisting of a laser beam and a rotating diffusing ground glass, which is frequently used in the lab, can also be modeled as containing a large number of independent and randomly radiated subsouces. A large number of subelds with random phases are then generated from those subsources at random positions and times. As we will show in the dissertation, despite the classical feature of the source, the high-order interference of photons in thermal and pseudo-thermal states can only be fully understood by quantum theory due to the nonlocal nature. We gave a new analysis of the statistical property of pseudo-thermal light based on the coherent state representation following the Glauber-Scully theory. We showed that the new model can describe the energy distribution of the pseudo-thermal light very well. We then showed a novel detection scheme called Photon-Number Fluctuation Correlation(PNFC) protocol, which measures the photon number fluctuation of each of the photodetectors and calculates the statistical correlation between them. This scheme was then applied to measure a 100% HBT correlation and the result can be explained as a nonlocal two-photon interference phenomenon. In additional, the PNFC protocol can be applied to thermal light ghost imaging resulting a 100% visibility ghost imaging measurement as well as high resolution. A set of experiments on the foundations of quantum theory including the delayed-choice quantum eraser experiment and Popper's experiment are then discussed. Nonlocal interference of randomly paired photons measured with the PNFC protocol is applied to explain the experimental results. The single photon picture can lead to paradoxes that can only be understood with the nonlocal interference of random thermal photon pairs with themselves. The nonlocal feature in the interference of photons in thermal state then inspired us to simulate Bell sate with photons in thermal state and extended the test of Bell s inequality to the fluctuation correlation measurement. Experimental observation of Bell correlation from the polarization measurement of thermal fields in photon-number fluctuations is reported, the experimental test of Bell's inequality in photon-number fluctuations is also reported. We then extended this scheme to the simulation of 3-photon GHZ state. The successful simulation of n-photon entangled states can lead to new perspective for quantum computing with thermal light. To demonstrate the potential of thermal light quantum computing, a simulation of the controlled-NOT gate operation is shown in the last part of the thesis. Throughout the dissertation, we showed that the phenomena of photons in thermal and pseudo-thermal state can be more easily and deeply understood by quantum mechanics.




Testing Quantum Theory with Higher-Order Interference in Many-Particle Correlations


Book Description

The structure of quantum theory permits interference of indistinguishable paths. At the same time, however, it also limits such interference to certain orders and any higher-order interference is prohibited. This thesis develops and studies concepts to test quantum theory with higher-order interference using many-particle correlations, the latter being generally richer and typically more subtle than single-particle correlations. It is demonstrated that quantum theory in general allows for interference up to order 2M in M-particle correlations. Depending on the mutual coherence of the particles, however, the related interference hierarchy can terminate earlier. In this thesis, we show that mutually coherent particles can exhibit interference of the highest orders allowed. We further demonstrate that interference of mutually incoherent particles truncates already at order M+1, although interference of the latter is principally more multifaceted than their coherent counterpart. We introduce two families of many-particle Sorkin parameters, whose members are expected to be all zero when quantum mechanics holds. As proof of concept, we demonstrate the disparate vanishing of such higher-order interference terms as a function of coherence in experiments with mutually coherent and incoherent sources. Finally, we investigate the influence of exotic kinked or looped quantum paths, which are permitted by Feynman’s path integral approach, in such setups.







Multi-Photon Quantum Interference


Book Description

This book details parametric down-conversion for the generation of non-classical state of light and its applications in generating various kinds of quantum entanglement among multiple photons from parametric down-conversion. It presents applications of the principle of quantum interference to multi-photon systems. The book also details continuous variable entanglement and various types of multi-photon interference effects.




Far from Equilibrium Phase Transitions


Book Description

This collection of lectures covers a wide range of present day research in thermodynamics and the theory of phase transitions far from equilibrium. The contributions are written in a pedagogical style and present an extensive bibliography to help graduates organize their further studies in this area. The reader will find lectures on principles of pattern formation in physics, chemistry and biology, phase instabilities and phase transitions, spatial and temporal structures in optical systems, transition to chaos, critical phenomena and fluctuations in reaction-diffusion systems, and much more.




Single-Photon Generation and Detection


Book Description

Single-photon generation and detection is at the forefront of modern optical physics research. This book is intended to provide a comprehensive overview of the current status of single-photon techniques and research methods in the spectral region from the visible to the infrared. The use of single photons, produced on demand with well-defined quantum properties, offers an unprecedented set of capabilities that are central to the new area of quantum information and are of revolutionary importance in areas that range from the traditional, such as high sensitivity detection for astronomy, remote sensing, and medical diagnostics, to the exotic, such as secretive surveillance and very long communication links for data transmission on interplanetary missions. The goal of this volume is to provide researchers with a comprehensive overview of the technology and techniques that are available to enable them to better design an experimental plan for its intended purpose. The book will be broken into chapters focused specifically on the development and capabilities of the available detectors and sources to allow a comparative understanding to be developed by the reader along with and idea of how the field is progressing and what can be expected in the near future. Along with this technology, we will include chapters devoted to the applications of this technology, which is in fact much of the driver for its development. This is set to become the go-to reference for this field. - Covers all the basic aspects needed to perform single-photon experiments and serves as the first reference to any newcomer who would like to produce an experimental design that incorporates the latest techniques - Provides a comprehensive overview of the current status of single-photon techniques and research methods in the spectral region from the visible to the infrared, thus giving broad background that should enable newcomers to the field to make rapid progress in gaining proficiency - Written by leading experts in the field, among which, the leading Editor is recognized as having laid down the roadmap, thus providing the reader with an authenticated and reliable source




Liberating Sociology: From Newtonian Toward Quantum Imaginations: Volume 1: Unriddling the Quantum Enigma


Book Description

In this major new study in the sociology of scientific knowledge, social theorist Mohammad H. Tamdgidi reports having unriddled the so-called ‘quantum enigma.’ This book opens the lid of the Schrödinger’s Cat box of the ‘quantum enigma’ after decades and finds something both odd and familiar: Not only the cat is both alive and dead, it has morphed into an elephant in the room in whose interpretation Einstein, Bohr, Bohm, and others were each both right and wrong because the enigma has acquired both localized and spread-out features whose unriddling requires both physics and sociology amid both transdisciplinary and transcultural contexts. The book offers, in a transdisciplinary and transcultural sociology of self-knowledge framework, a relativistic interpretation to advance a liberating quantum sociology. Deeper methodological grounding to further advance the sociological imagination requires investigating whether and how relativistic and quantum scientific revolutions can induce a liberating reinvention of sociology in favor of creative research and a just global society. This, however, necessarily leads us to confront an elephant in the room, the ‘quantum enigma.’ In Unriddling the Quantum Enigma, the first volume of the series commonly titled Liberating Sociology: From Newtonian toward Quantum Imaginations, sociologist Mohammad H. Tamdgidi argues that unriddling the ‘quantum enigma’ depends on whether and how we succeed in dehabituating ourselves in favor of unified relativistic and quantum visions from the historically and ideologically inherited, classical Newtonian modes of imagining reality that have subconsciously persisted in the ways we have gone about posing and interpreting (or not) the enigma itself for more than a century. Once this veil is lifted and the enigma unriddled, he argues, it becomes possible to reinterpret the relativistic and quantum ways of imagining reality (including social reality) in terms of a unified, nonreductive, creative dialectic of part and whole that fosters quantum sociological imaginations, methods, theories, and practices favoring liberating and just social outcomes. The essays in this volume develop a set of relativistic interpretive solutions to the quantum enigma. Following a survey of relevant studies, and an introduction to the transdisciplinary and transcultural sociology of self-knowledge framing the study, overviews of Newtonianism, relativity and quantum scientific revolutions, the quantum enigma, and its main interpretations to date are offered. They are followed by a study of the notion of the “wave-particle duality of light” and the various experiments associated with the quantum enigma in order to arrive at a relativistic interpretation of the enigma, one that is shown to be capable of critically cohering other offered interpretations. The book concludes with a heuristic presentation of the ontology, epistemology, and methodology of what Tamdgidi calls the creative dialectics of reality. The volume essays involve critical, comparative/integrative reflections on the relevant works of founding and contemporary scientists and scholars in the field. This study is the first in the monograph series “Tayyebeh Series in East-West Research and Translation” of Human Architecture: Journal of the Sociology of Self-Knowledge (XIII, 2020), published by OKCIR: Omar Khayyam Center for Integrative Research in Utopia, Mysticism, and Science (Utopystics). OKCIR is dedicated to exploring, in a simultaneously world-historical and self-reflective framework, the human search for a just global society. It aims to develop new conceptual (methodological, theoretical, historical), practical, pedagogical, inspirational and disseminative structures of knowledge whereby the individual can radically understand and determine how world-history and her/his selves constitute one another. Reviews “Mohammad H. Tamdgidi’s Liberating Sociology: From Newtonian Toward Quantum Imaginations, Volume 1, Unriddling the Quantum Enigma hits the proverbial nail on the head of an ongoing problem not only in sociology but also much social science—namely, many practitioners’ allegiance, consciously or otherwise, to persisting conceptions of ‘science’ that get in the way of scientific and other forms of theoretical advancement. Newtonianism has achieved the status of an idol and its methodology a fetish, the consequence of which is an ongoing failure to think through important problems of uncertainty, indeterminacy, multivariation, multidisciplinarity, and false dilemmas of individual agency versus structure, among many others. Tamdgidi has done great service to social thought by bringing to the fore this problem of disciplinary decadence and offering, in effect, a call for its teleological suspension—thinking beyond disciplinarity—through drawing upon and communicating with the resources of quantum theory not as a fetish but instead as an opening for other possibilities of social, including human, understanding. The implications are far-reaching as they offer, as the main title attests, liberating sociology from persistent epistemic shackles and thus many disciplines and fields connected to things ‘social.’ This is exciting work. A triumph! The reader is left with enthusiasm for the second volume and theorists of many kinds with proverbial work to be done.” — Professor Lewis R. Gordon, Honorary President of the Global Center for Advanced Studies and author of Disciplinary Decadence: Living Thought in Trying Times (Routledge/Paradigm, 2006), and Freedom, Justice, and Decolonization (Routledge, forthcoming 2020) "Social sciences are still using metatheoretical models of science based on 19th century newtonian concepts of "time and space". Mohammad H. Tamdgidi has produced a 'tour de force' in social theory leaving behind the old newtonian worldview that still informs the social sciences towards a 21st century non-dualistic, non-reductionist, transcultural, transdisciplinary, post-Einsteinian quantum concept of TimeSpace. Tamdgidi goes beyond previous efforts done by titans of social theory such as Immanuel Wallerstein and Kyriakos Kontopoulos. This book is a quantum leap in the social sciences at large. Tamdgidi decolonizes the social sciences away from its Eurocentric colonial foundations bringing it closer not only to contemporary natural sciences but also to its convergence with the old Eastern philosophical and mystical worldviews. This book is a masterpiece in social theory for a 21st century decolonial social science. A must read!" — Professor Ramon Grosfoguel, University of California at Berkeley​​​​​​​ "Tamdgidi’s Liberating Sociology succeeds in adding physical structures to the breadth of the world-changing vision of C. Wright Mills, the man who mentored me at Columbia. Relativity theory and quantum mechanics can help us to understand the human universe no less than the physical universe. Just as my Creating Life Before Death challenges bureaucracy’s conformist orientation, so does Liberating Sociology“liberate the infinite possibilities inherent in us.” Given our isolation in the Coronavirus era, we have time to follow Tamdgidi in his journey into the depth of inner space, where few men have gone before. It is there that we can gain emotional strength, just as Churchill, Roosevelt and Mandela empowered themselves. That personal development was needed to address not only their own personal problems, but also the mammoth problems of their societies. We must learn to do the same." — Bernard Phillips, Emeritus Sociology Professor, Boston University




An Introduction to Quantum Optics


Book Description

Authored by a highly regarded international researcher and pioneer in the field, An Introduction to Quantum Optics: Photon and Biphoton Physics is a straightforward overview of basic principles and experimental evidence for the quantum theory of light. This book introduces and analyzes some of the most exciting experimental research to date in the field of quantum optics and quantum information, helping readers understand the revolutionary changes occurring in optical science. Paints a picture of light in terms of general quantum interference, to reflect the physical truth behind all optical observations Unlike most traditional books on the subject, this one introduces fundamental classical and quantum concepts and measurement techniques naturally and gradually as it explores the process of analyzing typical experimental observations. Separating itself from other books with this uncommon focus on the experimental part of analysis, this volume: Provides a general overview of the optical coherence of light without quantization Introduces concepts and tools of field quantization and quantum optics based on the principles and rules of quantum mechanics Analyzes similarities and differences between classical and quantum coherence Concentrates on key research topics in quantum optics Explains photon and biphoton physics by examining the devices and experimental procedures used to test theories This book is basic enough for students, but it also covers a broad range of higher-level concepts that will benefit scientists and other professionals seeking to enhance their understanding of practical and theoretical aspects and new experimental methods of measurement. This material summarizes exciting developments and observations and then helps readers of all levels apply presented concepts and tools to summarize, analyze, and resolve quantum optical problems in their own work. It is a great aid to improve methods of discovering new physics and better understand and apply nontraditional concepts and interpretations in both new and historical experimental discoveries.




Methods in Theoretical Quantum Optics


Book Description

This work presents the mathematical methods widely used by workers in the field of quantum optics. It deals with the physical assumptions which lead to the models and approximations employed, but the main purpose of the text is to give a firm grounding in those techniques needed to derive analytical solutions to problems.




Higher Order Photon Transitions in H-like and He-like Ions


Book Description

Higher order photon transitions such as M1, M2 and two-photon decay are conveniently studied using highly-charged electron ions. Here we discuss two examples from recent experiments which were done using the ATLAS facility at Argonne National Laboratory. The first is a test of Relativistic Quantum Mechanics involving a precision measurement of the spectral shape of the two-photon decay of the 1s2s1S0 state in He-like nickel and the second is a test of the theory of damping in quantum mechanics involving observation of E1-M1 interference in the electric field quenching of metastable H-like ions.