Bulletin of the American Physical Society
Annual Meeting of the Four Corners Section of the APS
Volume 58, Number 12
Friday–Saturday, October 18–19, 2013; Denver, Colorado
Session I3: General Physics |
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Chair: Richard Sonnefeld, New Mexico Tech University Room: 254 |
Saturday, October 19, 2013 8:00AM - 8:24AM |
I3.00001: Explorations in Quantum Dynamics and Information Invited Speaker: Jean-Francois S. Van Huele Quantum Dynamics (QD) is the study of the evolution of quantum systems, as described by dynamical relations, such as the familiar time-dependent Schr\"{o}dinger equation from nonrelativistic wave mechanics. QD helps us see the structure of interactions between systems and tells us how properties of quantum systems change over time. QD has developed a rich toolbox of techniques with a wide range of applicability. Quantum Information (QI) is the study of how one can store, process, and retrieve information according to quantum rules. QI informs us about how we can access systems and what we can or cannot know about these systems. QI is a fast-growing field with remarkable realizations and exciting ramifications from technology to philosophy. In this talk I will highlight the intersection between these two important fields of quantum research. I will argue that there is much to be gained from their constructive interference. I will give examples where the combined application of QD and QI, the interplay of time and qubit, gives intriguing results and raises new questions. [Preview Abstract] |
Saturday, October 19, 2013 8:24AM - 8:36AM |
I3.00002: Unifying Geometrical Interpretations of Gauge Theory Scott Alsid, Mario Serna We seek to unify three camps that have developed geometric interpretations of gauge theory over the last century: those who use the compactified dimensions of Kaluza-Klein theory, those who use an embedding to represent gauge fields, and those who use a hidden spatial metric to replace the gauge fields. This paper identifies a correspondence to directly relate the geometrical interpretations of the three camps. Each camp attempts to isolate the gauge-invariant core responsible for the resulting physics. By providing a mapping between geometrical interpretations, physicists can now borrow and share results between each camp. In addition, we provide visual examples of the geometrical relationships between each camp for $U(1)$ electric and magnetic fields. [Preview Abstract] |
Saturday, October 19, 2013 8:36AM - 8:48AM |
I3.00003: Using Lie Algebras to Extract Non-Classical Evolution in Optomechanics Alberto Acevedo, Ty Beus, Manuel Berrondo, Jean-Francois S. Van Huele The task of finding the time evolution of quantum systems governed by time-dependent, noncommuting Hamiltonians [H (t), H (t')] $\ne $ 0, is generally quite complex. Factorization of the evolution operator into time-dependent exponential functions of the time-independent basis elements of the Lie algebra constructed from the Hamiltonian, makes it possible to separately resolve the issues of operator ordering and time-dependence. We apply this method to oscillator dynamics and obtain analytic results. We then consider optomechanical systems, consisting of coupled optical and mechanical oscillator modes to study the generation of non-classical states. We also show how the same method allows for the inclusion of dissipative effects. [Preview Abstract] |
Saturday, October 19, 2013 8:48AM - 9:00AM |
I3.00004: Variance for weak measurement Prashanna Simkhada, Jean-Francois S. Van Huele Weak value is an important quantum tool, as illustrated in weak measurements; but what is the interpretation of weak value? We define several possible second moments for the weak value in search of a useful weak variance. We compare the properties of these moments when applied to spin measurements, and extrapolate our results to disembodiment as illustrated in Cheshire cat situations. [Preview Abstract] |
Saturday, October 19, 2013 9:00AM - 9:12AM |
I3.00005: Bound quantum system of electron or proton orbiting a small black hole Daniel Gray, Alexander Panin Mini black holes (BH) of various mass could be left over in space from the early expansion Big Bang phase (so called primordial BHs). As a result of interaction of those BHs with interstellar hydrogen they could form a bound system with an electron or a proton (or both). What would such system look like? Would it be stable, metastable, or would BH quickly consume the orbiting particle? How much is life time of such ``gravitational atom''? If such system is stable then what is the size of it; how much is the bonding energy of its ground state ($=$ ionization potential energy) and how much are the energies of its exited states? Are those ``gravitational atoms'' observable? What other properties do they have? Based on known physics we try to analyze the behavior of such exotic system and answer the above questions for black holes of various masses. [Preview Abstract] |
Saturday, October 19, 2013 9:12AM - 9:24AM |
I3.00006: A Minimal Model to Relate Dynamics to Entanglement John Gardiner, Jean-Francois S. Van Huele Quantum entanglement is a correlation between systems beyond what is possible classically. There are multiple distinct ways for systems to be entangled with each other. When systems interact the particular entanglements that arise between them are dictated by the dynamics of the interaction. With different dynamics leading to possibly different entanglement, we can ask what the entanglement says about the dynamics that caused it. Can we understand interactions in terms of the entanglements they form? To explore this question, we propose a minimal model of a system and its environment consisting of three qubits with spin interactions. We relate the structure of the model's dynamics with the complexity of the resulting entanglement. [Preview Abstract] |
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