Path integrals and nonlinear optical tweezers
- URL: http://arxiv.org/abs/2009.06508v2
- Date: Fri, 25 Sep 2020 13:47:37 GMT
- Title: Path integrals and nonlinear optical tweezers
- Authors: Bruno Suassuna, Bruno Melo, Thiago Guerreiro
- Abstract summary: We use path integrals to calculate perturbative corrections to the correlation function of a particle under the action of nonlinear optical tweezers.
Results are compared to numerical simulations.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We use path integrals to calculate perturbative corrections to the
correlation function of a particle under the action of nonlinear optical
tweezers, both in the overdamped and underdamped regimes. In both cases, it is
found that to leading order nonlinearities manifest as shifts in the
characteristic frequency of the system. The results are compared to numerical
simulations. The present calculations enable a direct experimental method to
access the nonlinear optical trap parameters by analyzing position data,
similarly to standard harmonic tweezers.
Related papers
- Josephson bifurcation readout: beyond the monochromatic approximation [49.1574468325115]
We analyze properties of bifurcation quantum detectors based on weakly nonlinear superconducting resonance circuits.
This circuit can serve as an efficient detector of the quantum state of superconducting qubits.
arXiv Detail & Related papers (2024-05-25T22:22:37Z) - Unconventional Computing based on Four Wave Mixing in Highly Nonlinear
Waveguides [0.0]
We numerically analyze a photonic unconventional accelerator based on the four-wave mixing effect in highly nonlinear waveguides.
By exploiting the rich Kerr-induced nonlinearities, multiple nonlinear transformations of an input signal can be generated and used for solving complex nonlinear tasks.
arXiv Detail & Related papers (2024-02-14T12:34:38Z) - Estimation Sample Complexity of a Class of Nonlinear Continuous-time Systems [0.0]
We present a method of parameter estimation for large class of nonlinear systems, namely those in which the state consists of output derivatives and the flow is linear in the parameter.
The method, which solves for the unknown parameter by directly inverting the dynamics using regularized linear regression, is based on new design and analysis ideas for differentiation filtering and regularized least squares.
arXiv Detail & Related papers (2023-12-08T21:42:11Z) - 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) - Irreversibility in an optical parametric driven optomechanical system [0.0]
We find a dramatic deviation in the irreversibility and quantum mutual information for small detuning.
Our analysis shows that the system irreversibility can be reduced by choosing the appropriate phase of the self-induced nonlinearity.
arXiv Detail & Related papers (2023-03-20T13:31:37Z) - Dynamical chaos in nonlinear Schr\"odinger models with subquadratic
power nonlinearity [137.6408511310322]
We deal with a class of nonlinear Schr"odinger lattices with random potential and subquadratic power nonlinearity.
We show that the spreading process is subdiffusive and has complex microscopic organization.
The limit of quadratic power nonlinearity is also discussed and shown to result in a delocalization border.
arXiv Detail & Related papers (2023-01-20T16:45:36Z) - Direct Measurement of Higher-Order Nonlinear Polarization Squeezing [0.0]
We report on nonlinear squeezing effects of polarization states of light by harnessing the intrinsic correlations from a polarization-entangled light source and click-counting measurements.
To quantify quantum effects, theoretical bounds are derived for second- and higher-order moments of nonlinear Stokes operators.
Our data certify nonclassical correlations with high statistical significance, without the need to correct for experimental imperfections and limitations.
arXiv Detail & Related papers (2022-04-14T16:26:43Z) - 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) - Sparse Quantized Spectral Clustering [85.77233010209368]
We exploit tools from random matrix theory to make precise statements about how the eigenspectrum of a matrix changes under such nonlinear transformations.
We show that very little change occurs in the informative eigenstructure even under drastic sparsification/quantization.
arXiv Detail & Related papers (2020-10-03T15:58:07Z) - Wigner negativity in the steady-state output of a Kerr parametric
oscillator [62.657887071170926]
We find that even though the steady-state cavity field is always characterized by a positive Wigner function, the output may exhibit Wigner negativity, depending on the properties of the selected mode.
arXiv Detail & Related papers (2020-09-17T09:23:00Z)
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.