Master-equation treatment of nonlinear optomechanical systems with optical loss

• URL: http://arxiv.org/abs/2009.02295v3
• Date: Tue, 29 Jun 2021 14:37:38 GMT
• Title: Master-equation treatment of nonlinear optomechanical systems with optical loss
• Authors: Sofia Qvarfort and Michael R. Vanner and P. F. Barker and David Edward Bruschi
• Abstract summary: Open-system dynamics play a key role in the experimental and theoretical study of cavity optomechanical systems. We derive a solution to the Lindblad master equation that models optical decoherence for a system evolving with the nonlinear optomechanical Hamiltonian.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Open-system dynamics play a key role in the experimental and theoretical study of cavity optomechanical systems. In many cases, the quantum Langevin equations have enabled excellent models for optical decoherence, yet a master-equation approach to the fully nonlinear optomechanical Hamiltonian has thus far proven more elusive. To address this outstanding question and broaden the mathematical tool set available, we derive a solution to the Lindblad master equation that models optical decoherence for a system evolving with the nonlinear optomechanical Hamiltonian. The method combines a Lie-algebra solution to the unitary dynamics with a vectorization of the Lindblad equation, and we demonstrate its applicability by considering the preparation of optical cat states via the optomechanical nonlinearity in the presence of optical loss. Our results provide a direct way of analytically assessing the impact of optical decoherence on the optomechanical intracavity state.

Related papers

• Data-driven model reconstruction for nonlinear wave dynamics [0.0]
  We present an interpretable machine learning framework for analyzing the nonlinear evolution dynamics of optical wavepackets in complex wave media. We use sparse regression to reduce microscopic discrete lattice models to simpler effective models which can accurately describe the dynamics of the wavepacket envelope. The reconstructed equations accurately reproduce the linear dispersion nonlinear effects including self-steepening and self-focusing.
  arXiv  Detail & Related papers  (2024-11-18T13:17:10Z)
• Kerr-Enhanced Optical Spring [0.11422130626858949]
  We propose and experimentally demonstrate the generation of enhanced optical springs using the optical Kerr effect. To our knowledge, this is the first realization of optomechanical coupling enhancement using a nonlinear optical effect.
  arXiv  Detail & Related papers  (2023-10-28T21:57:04Z)
• Enhanced optomechanical nonlinearity through non-Markovian mechanical noise [0.0]
  We show that while the strength of the nonlinearity is generally reduced by a Markovian bath spectrum, it can be enhanced by constructing a bath with a highly non-Markovian structure. The results have potential implications for future optomechanical experiments which seek to achieve a strong optomechanical nonlinearity.
  arXiv  Detail & Related papers  (2023-08-02T12:54:01Z)
• 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)
• 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)
• 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)
• Hessian Eigenspectra of More Realistic Nonlinear Models [73.31363313577941]
  We make a emphprecise characterization of the Hessian eigenspectra for a broad family of nonlinear models. Our analysis takes a step forward to identify the origin of many striking features observed in more complex machine learning models.
  arXiv  Detail & Related papers  (2021-03-02T06:59:52Z)
• 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)
• On dissipative symplectic integration with applications to gradient-based optimization [77.34726150561087]
  We propose a geometric framework in which discretizations can be realized systematically. We show that a generalization of symplectic to nonconservative and in particular dissipative Hamiltonian systems is able to preserve rates of convergence up to a controlled error.
  arXiv  Detail & Related papers  (2020-04-15T00:36:49Z)
• Quantum metrology with optomechanical systems in the nonlinear regime [0.0]
  This thesis focuses on the description and application of nonlinear cavity optomechanical systems. We derive a general expression of the quantum Fisher information given the extended optomechanical Hamiltonian. Our results suggest that optomechanical systems could, in principle, be used as powerful quantum sensors.
  arXiv  Detail & Related papers  (2020-03-25T21:53:03Z)

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.