Macroscopic noise amplification by asymmetric dyads in non-Hermitian
optical systems for generative diffusion models
- URL: http://arxiv.org/abs/2206.12200v2
- Date: Fri, 5 Jan 2024 16:53:51 GMT
- Title: Macroscopic noise amplification by asymmetric dyads in non-Hermitian
optical systems for generative diffusion models
- Authors: Alexander Johnston and Natalia G. Berloff
- Abstract summary: asymmetric non-Hermitian dyads are promising candidates for efficient sensors and ultra-fast random number generators.
integrated light emission from such asymmetric dyads can be efficiently used for all-optical degenerative diffusion models of machine learning.
- Score: 55.2480439325792
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: A new generation of sensors, hardware random number generators, and quantum
and classical signal detectors are exploiting strong responses to external
perturbations of system noise. Here, we study noise amplification by asymmetric
dyads in freely expanding non-Hermitian optical systems.
We show that modifications of the pumping strengths can counteract bias from
natural imperfections of the system's hardware, while couplings between dyads
lead to systems with non-uniform statistical distributions. Our results suggest
that asymmetric non-Hermitian dyads are promising candidates for efficient
sensors and ultra-fast random number generators. We propose that the integrated
light emission from such asymmetric dyads can be efficiently used for analog
all-optical degenerative diffusion models of machine learning to overcome the
digital limitations of such models in processing speed and energy consumption.
Related papers
- Engineering One Axis Twisting via a Dissipative Berry Phase Using Strong
Symmetries [0.0]
We show how a driven-dissipative cavity coupled to a collective ensemble of atoms can generate metrologically useful spin-squeezed states.
This work shows that it is possible to generate entanglement in an atom-cavity resonant regime with macroscopic optical excitations of the system.
arXiv Detail & Related papers (2024-01-11T19:03:46Z) - Using system-reservoir methods to derive effective field theories for
broadband nonlinear quantum optics: a case study on cascaded quadratic
nonlinearities [0.0]
nonlinear interactions among a large number of frequency components induce complex dynamics that may defy analysis.
We introduce a perturbative framework for factoring out reservoir degrees of freedom and establishing a concise effective model.
Our results highlight the utility of system-reservoir methods for deriving accurate, intuitive reduced models.
arXiv Detail & Related papers (2023-11-06T23:00:47Z) - Non-Hermitian Floquet-Free Analytically Solvable Time Dependant Systems [0.0]
We introduce a class of time-dependent non-Hermitian Hamiltonians that can describe a two-level system with temporally modulated on-site potential and couplings.
Our proposed class of Hamiltonians can be employed in different platforms such as electronic circuits, acoustics, and photonics to design structures with hidden PT-symmetry.
arXiv Detail & Related papers (2023-02-02T04:57:13Z) - X-parameter based design and simulation of Josephson traveling-wave
parametric amplifiers for quantum computing applications [0.0]
We present an efficient, accurate, and comprehensive analysis framework for generic, multi-port nonlinear parametric circuits.
We apply this method to Josephson traveling-wave parametric amplifiers (JTWPAs)
The gain and quantum efficiency are consistent with those obtained from Fourier analysis of time-domain solutions.
arXiv Detail & Related papers (2022-11-10T04:23:28Z) - Decimation technique for open quantum systems: a case study with
driven-dissipative bosonic chains [62.997667081978825]
Unavoidable coupling of quantum systems to external degrees of freedom leads to dissipative (non-unitary) dynamics.
We introduce a method to deal with these systems based on the calculation of (dissipative) lattice Green's function.
We illustrate the power of this method with several examples of driven-dissipative bosonic chains of increasing complexity.
arXiv Detail & Related papers (2022-02-15T19:00:09Z) - Topologically Protecting Squeezed Light on a Photonic Chip [58.71663911863411]
Integrated photonics offers an elegant way to increase the nonlinearity by confining light strictly inside the waveguide.
We experimentally demonstrate the topologically protected nonlinear process of spontaneous four-wave mixing enabling the generation of squeezed light on a silica chip.
arXiv Detail & Related papers (2021-06-14T13:39:46Z) - Sampling asymmetric open quantum systems for artificial neural networks [77.34726150561087]
We present a hybrid sampling strategy which takes asymmetric properties explicitly into account, achieving fast convergence times and high scalability for asymmetric open systems.
We highlight the universal applicability of artificial neural networks, underlining the universal applicability of neural networks.
arXiv Detail & Related papers (2020-12-20T18:25:29Z) - Frequency-resolved photon correlations in cavity optomechanics [58.720142291102135]
We analyze the frequency-resolved correlations of the photons being emitted from an optomechanical system.
We discuss how the time-delayed correlations can reveal information about the dynamics of the system.
This enriched understanding of the system can trigger new experiments to probe nonlinear phenomena in optomechanics.
arXiv Detail & Related papers (2020-09-14T06:17:36Z) - A Data-Driven Approach for Discovering Stochastic Dynamical Systems with
Non-Gaussian Levy Noise [5.17900889163564]
We develop a new data-driven approach to extract governing laws from noisy data sets.
First, we establish a feasible theoretical framework, by expressing the drift coefficient, diffusion coefficient and jump measure.
We then design a numerical algorithm to compute the drift, diffusion coefficient and jump measure, and thus extract a governing equation with Gaussian and non-Gaussian noise.
arXiv Detail & Related papers (2020-05-07T21:29:17Z) - Exponentially-enhanced quantum sensing with non-Hermitian lattice
dynamics [77.34726150561087]
We show that certain asymmetric non-Hermitian tight-binding models with a $mathbbZ$ symmetry yield a pronounced sensing advantage.
Our setup is directly compatible with a variety of quantum optical and superconducting circuit platforms.
arXiv Detail & Related papers (2020-04-01T17:14:14Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.