Bulletin of the American Physical Society
2021 Annual Meeting of the APS Four Corners Section
Volume 66, Number 11
Friday–Saturday, October 8–9, 2021; Virtual; Mountain Daylight Time
Session B04: AMO and Quantum Information I |
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Chair: Markus Raschke, University of Colorado Boulder |
Friday, October 8, 2021 10:30AM - 10:54AM |
B04.00001: Single-Photon Level Nonlinear Optics with Nanophotonic Cavity QED Invited Speaker: Shuo Sun An outstanding challenge in quantum optics is to realize optical nonlinearities at the single photon limit, where a single photon can deterministically control the transmission of another optical field. Cavity Quantum Electro-Dynamics (QED) provides a coherent atom-photon interface that allows a single atom to mediate such photon-photon interactions. In this talk, I will talk about how we realize a coherent spin-photon interface in a solid-state platform by using a nanophotonic cavity QED platform [1], and the use of this device to realize a single-photon switch and transistor [2]. I will highlight the applications of these devices in optical quantum information processing by introducing one of our recent theory works on deterministic generation of loss-tolerant photonic cluster states [3]. Ref: [1] Sun et al., Nature Nanotechnology 11, 539--544 (2016); [2] Sun et al., Science 361 (6397), 57-60 (2018); [3] Zhan and Sun, Physical Review Letters 125, 223601 (2020). [Preview Abstract] |
Friday, October 8, 2021 10:54AM - 11:06AM |
B04.00002: Approximating a Low-Dimensional Nonlinear Dual to the Schrodinger Equation Using Neural Networks Huston Wilhite, Mitchell Cutler, James Larsen, Jacob Nuttall, Mark Transtrum, Sean Warnick, Jean-Francois Van Huele According to the Schrodinger equation, a quantum system evolves linearly in time and is (in general) infinite-dimensional. Koopman operator theory uses an infinite-dimensional operator to evolve a finite-dimensional, nonlinear system linearly in an infinite-dimensional space. We propose that the Schrodinger equation is in fact the Koopman operator of some finite-dimensional, nonlinear dual to the Schrodinger equation. Since the Koopman operator does not have an analytic inverse in general we instead find an approximate inverse using neural networks. This inverse evolves the quantum system nonlinearly in a compressed representation of the quantum state space, which is also learned by neural networks. We test this idea for the case of the Bloch sphere, which we compress from four real dimensions to three real dimensions in which the neural networks learn the dynamics. We examine how well the nonlinear dynamics of the compressed space replicate the linear dynamics of the quantum sate space after being transformed back to four real dimensions. [Preview Abstract] |
Friday, October 8, 2021 11:06AM - 11:18AM |
B04.00003: Path Integral Approach to Work Statistics in Quantum Thermodynamics Taylor Kimball, Jean-Francois Van Huele Quantum Thermodynamics (QT) studies how laws of thermodynamics can be applied to microscopic systems where quantum phenomena appear and fluctuations dominate. Work is among the most important concepts in classical thermodynamics, and is defined as the force applied over a distance along a trajectory. This definition must be adapted in QT because microscopic particles don't follow trajectories. The most common method for calculating work statistics in QT is based on a two-point measurement, where the work statistics can be found from the difference in energy between two measurements. Here, I use a path integral approach to compute the work statistics. I discuss the forward and backward propagators needed to evolve the initial density matrix and find the work statistics. I briefly illustrate the case of a particle in a rigid box with one wall moving uniformly in time and compare my results with those in the literature (Funo and Quan, Phys. Rev. Lett. 121, 040602). Finally, I discuss how the path integral approach applies in the classical limit. [Preview Abstract] |
Friday, October 8, 2021 11:18AM - 11:30AM |
B04.00004: Self-gravity with Stern-Gerlach Humpty-Dumpty Interferometry Leif Hagen, Jean-Francois Van Huele The extreme weakness of gravity at the quantum scale has made it nearly impossible to access experimentally. However, Hatifi and Durt (arXiv:2006.07420) propose a reversible (Humpty-Dumpty type) Stern-Gerlach experiment to measure the gravitational interaction of a mesoscopic particle with itself, which, once performed, could inform us of quantum gravity through an observable phase shift. I will elaborate on the appearance of self-gravity in the mesoscopic regime and explain how the Humpty-Dumpty interferometer can be used in connection with the Schrodinger-Newton equation. [Preview Abstract] |
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