Engineering bound states in continuum via nonlinearity induced extra
dimension
- URL: http://arxiv.org/abs/2307.04877v1
- Date: Mon, 10 Jul 2023 19:56:31 GMT
- Title: Engineering bound states in continuum via nonlinearity induced extra
dimension
- Authors: Qingtian Miao, Jayakrishnan M. P. Nair, Girish S. Agarwal
- Abstract summary: Bound states in continuum (BICs) are localized states of a system possessing significantly large life times.
The generation of BICs is a direct artifact of the nonlinearity and the associated expansion in the dimensionality of the system.
In close vicinity to the BIC, the steady state response of the system is immensely sensitive to perturbations in natural frequencies of the system.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Bound states in continuum (BICs) are localized states of a system possessing
significantly large life times with applications across various branches of
science. In this work, we propose an expedient protocol to engineer BICs which
involves the use of Kerr nonlinearities in the system. The generation of BICs
is a direct artifact of the nonlinearity and the associated expansion in the
dimensionality of the system. In particular, we consider single and two mode
anharmonic systems and provide a number of solutions apposite for the creation
of BICs. In close vicinity to the BIC, the steady state response of the system
is immensely sensitive to perturbations in natural frequencies of the system
and we illustrate its propitious sensing potential in the context of
experimentally realizable setups for both optical and magnetic nonlinearities.
Related papers
- Bound states in the continuum induced via local symmetries in complex
structures [0.0]
Bound states in the continuum (BICs) defy conventional wisdom that assumes a spectral separation between propagating waves, that carry energy away, and spatially localized waves corresponding to discrete frequencies.
We introduce theoretically BICs relying on a different mechanism, namely local symmetries that enforce a field concentration on a part of a complex system without implying any global symmetry.
Our alternative for achieving BICs in complex wave systems may be useful for applications like sensing, lasing, and enhancement of nonlinear interactions that require high-$Q$ modes.
arXiv Detail & Related papers (2023-10-14T23:41:06Z) - Driven-dissipative phases and dynamics in non-Markovian nonlinear
photonics [2.3857109879977383]
We introduce a class of driven-dissipative systems in which a nonlinear cavity experiences non-Markovian coupling to the outside world.
In the classical regime, we show that these non-Markovian cavities can have extremely low thresholds for nonlinear effects.
In the quantum regime, we show how these system, when implemented on state-of-the-art platforms, can enable generation of strongly squeezed cavity states.
arXiv Detail & Related papers (2023-09-18T15:24:44Z) - PAC bounds of continuous Linear Parameter-Varying systems related to
neural ODEs [0.0]
We consider the problem of learning Neural Ordinary Differential Equations (neural ODEs) within the context of Linear -Varying (LPV) systems in continuous-time.
We provide Probably Approximately Correct (PAC) bounds under stability for LPV systems related to neural ODEs.
arXiv Detail & Related papers (2023-07-07T14:39:18Z) - Exact solutions of interacting dissipative systems via weak symmetries [77.34726150561087]
We analytically diagonalize the Liouvillian of a class Markovian dissipative systems with arbitrary strong interactions or nonlinearity.
This enables an exact description of the full dynamics and dissipative spectrum.
Our method is applicable to a variety of other systems, and could provide a powerful new tool for the study of complex driven-dissipative quantum systems.
arXiv Detail & Related papers (2021-09-27T17:45:42Z) - Designing Kerr Interactions for Quantum Information Processing via
Counterrotating Terms of Asymmetric Josephson-Junction Loops [68.8204255655161]
static cavity nonlinearities typically limit the performance of bosonic quantum error-correcting codes.
Treating the nonlinearity as a perturbation, we derive effective Hamiltonians using the Schrieffer-Wolff transformation.
Results show that a cubic interaction allows to increase the effective rates of both linear and nonlinear operations.
arXiv Detail & Related papers (2021-07-14T15:11:05Z) - A low-loss ferrite circulator as a tunable chiral quantum system [108.66477491099887]
We demonstrate a low-loss waveguide circulator constructed with single-crystalline yttrium iron garnet (YIG) in a 3D cavity.
We show the coherent coupling of its chiral internal modes with integrated superconducting niobium cavities.
We also probe experimentally the effective non-Hermitian dynamics of this system and its effective non-reciprocal eigenmodes.
arXiv Detail & Related papers (2021-06-21T17:34:02Z) - Excitation dynamics in inductively coupled fluxonium circuits [0.0]
We propose a near-term quantum simulator based on the fluxonium qubits inductively coupled to form a chain.
This system provides long coherence time, large anharmonicity, and strong coupling, making it suitable to study Ising spin models.
arXiv Detail & Related papers (2021-04-07T17:55:53Z) - Ultralow threshold bistability and generation of long-lived mode in a
dissipatively coupled nonlinear system: application to magnonics [0.0]
We study the remote transfer of bistability from a nonlinear resource in a dissipatively coupled two-mode system.
As a consequence of dissipative coupling and the nonlinearity, a long-lived mode emerges, which is responsible for heightened transmission levels and pronounced sensitivity in signal propagation through the fiber.
arXiv Detail & Related papers (2021-03-23T21:48:17Z) - Linear embedding of nonlinear dynamical systems and prospects for
efficient quantum algorithms [74.17312533172291]
We describe a method for mapping any finite nonlinear dynamical system to an infinite linear dynamical system (embedding)
We then explore an approach for approximating the resulting infinite linear system with finite linear systems (truncation)
arXiv Detail & Related papers (2020-12-12T00:01:10Z) - Active Learning for Nonlinear System Identification with Guarantees [102.43355665393067]
We study a class of nonlinear dynamical systems whose state transitions depend linearly on a known feature embedding of state-action pairs.
We propose an active learning approach that achieves this by repeating three steps: trajectory planning, trajectory tracking, and re-estimation of the system from all available data.
We show that our method estimates nonlinear dynamical systems at a parametric rate, similar to the statistical rate of standard linear regression.
arXiv Detail & Related papers (2020-06-18T04:54:11Z) - Fermionic state discrimination by local operations and classical
communication [68.8204255655161]
Local operations and classical communication (LOCC) discrimination between two bipartite pure states of fermionic systems is studied.
We show that, contrary to the case of quantum systems, for fermionic systems it is generally not possible to achieve the ideal state discrimination performances.
arXiv Detail & Related papers (2020-02-24T12:25:36Z)
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.