Bulletin of the American Physical Society
2018 Annual Meeting of the APS Four Corners Section
Volume 63, Number 16
Friday–Saturday, October 12–13, 2018; University of Utah, Salt Lake City, Utah
Session L04: General Physics: Quantum Control |
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Chair: Ivan Smalyukh, University of Colorado Boulder Room: CSC 10/14 |
Saturday, October 13, 2018 11:20AM - 11:32AM |
L04.00001: Basis Dependence of Quantum Coherence for a Single Quantum State Richard D. Barney, Jean-François S. Van Huele Quantum coherence has emerged as a powerful way to quantify the degree of wave nature in a quantum system, with the complementary particle-like quantity being distinguishability. Quantum coherence can be determined using any orthonormal basis, which allows us to explore different facets of a quantum system’s wave nature. We find that a quantum system can have different degrees of quantum coherence when different bases are used. Each of these bases corresponds to a different physical aspect of the system. We explore this result by examining how the quantum coherences of a beam system in a Stern-Gerlach apparatus evolve with time. We find that coherences defined with respect to different bases for the same system can exhibit significantly different behaviors. |
Saturday, October 13, 2018 11:32AM - 11:44AM |
L04.00002: Quantum Dynamic Control of a Time Dependent Mass Parametric Oscillator via Lie Algebra Representation Ty Beus, Manuel Berrondo The Generalized Caldirola Kanai system is an oscillator subject to the time dependent manipulation of both its frequency and mass. Here, using Lie Algebra representation techniques we analyze how to completely control this system using an arbitrary parameter variation coupled with times of rest. Specifically, we can control the squeezing of coherent states using this procedure. Furthermore, it is found that any perturbation on this system can be reversed by repeating that perturbation at an opportune time. |
Saturday, October 13, 2018 11:44AM - 11:56AM |
L04.00003: Proposed Experiment to Test Single-Electron Entanglement of Spin and Space Paul W Bailey, Jean Francois Van Huele Single-electron entanglement (SEE) is of interest for applications in quantum communication. We consider SEE between the spatially dependent functional space and the spinor space of an electron beam. Following Eberly et al. [Optica 2, 611-615 (2015)], we reformulate the electronic spinor state as a tensor product between the functional and spinor spaces and use the Schmidt decomposition to identify a recognizable entangled state. We then construct a Bell-like test for confirming entanglement of the two spaces. Finally, we propose an experiment to violate the Bell-type inequality and which makes use of recently developed spin-polarizing electron beam splitters [Dellweg and Müller: Phys. Rev. Lett. 118, 070403 (2017)]. |
Saturday, October 13, 2018 11:56AM - 12:08PM |
L04.00004: A Comparison of Entanglement Measures Against Teleportation Fidelity Jason Saunders, Jean-Francois S Van Huele Entanglement is a quantum phenomenon characterized by non-classical correlations between two systems. It can be used as a resource in quantum tasks such as secure data encryption and high-fidelity teleportation. Quantifying entanglement remains an open question - there exist different measures of entanglement which agree on which states are maximally and minimally entangled, yet disagree on the entanglement ordering of some intermediate entangled states. We focus on three of these measures: concurrence, negativity, and relative entropy of entanglement. We show the relation between these three measures, including contradictions in the ordering of some quantum states. This leads to the hypothesis that these measures disagree because they are measuring distinct resources. To test this idea, we search for the existence of a teleportation resource by looking for a significant correlation between teleportation fidelity and one of these three measures of entanglement. Our analysis shows no clear distinction between any of these measures of entanglement. Further work will be required to solve the complex problem of entanglement quantification. |
Saturday, October 13, 2018 12:08PM - 12:20PM |
L04.00005: IPSII Shadow Simulations Carter F Day, Jarom S. Jackson, Dallin S. Durfee Using projected laser interference patterns, a new imaging method is being developed that circumvents conventional limitations such as needing to be close to the object being imaged or requiring a high numerical aperture lens. Due to the method of use, "shadows" are cast in the patterns when imaging objects with a significant axial extent. Simulations are being run to determine the effects of these shadows on the resulting image and how important or negligible they may be. Preliminary tests will be discussed. |
Saturday, October 13, 2018 12:20PM - 12:32PM |
L04.00006: Quantum Control of the Squeezing Operator with Dynamics using Wei-Norman Factorization and the Time Evolution Operator Riley Martell, Manuel Berrondo, Ty Beus, Ray Hagimoto, Jean-Francois VanHuele Control of quantum phenomena would allow for expanding control theory from classical systems to microscopic ones whose behavior is dictated by quantum mechanics. A current goal of quantum control is to develop a systematic methodology for the manipulation of systems. The approach typically used to solve dynamic quantum systems is useful to analyze characteristics of a system represented by a defined operator. The squeeze operator's actions are characterized by finding the time evolution operator using the Wei-Norman method on the associated Hamiltonian and applying this to number (Fock) states, coherent states, and Schrodinger cat states. This specific case analyzing the Squeeze operator shows that the Wei-Norman method to find time-evolution operator can reveal the dynamics of any system with an associated Lie Algebra basis. Documenting a variety of initial states and initial parameters in a library of cases provides a foundation to achieving greater control in experimental applications as well. |
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