Related papers: Dynamics and Redistribution of Entanglement and Coherence in Three Time-Dependent Coupled Harmonic Oscillators

Dynamics and Redistribution of Entanglement and Coherence in Three Time-Dependent Coupled Harmonic Oscillators

URL: http://arxiv.org/abs/2007.14746v2
Date: Thu, 1 Apr 2021 11:31:26 GMT
Title: Dynamics and Redistribution of Entanglement and Coherence in Three Time-Dependent Coupled Harmonic Oscillators
Authors: Radouan Hab-arrih, Ahmed Jellal, Abdeldjalil Merdaci
Abstract summary: We resolve the Schr"odinger equation by using time-dependent rotation together with a linear quench model. We show that the dynamics of all quantum information quantities are driven by the Ermakov modes.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: We study the dynamics and redistribution of entanglement and coherence in three time-dependent coupled harmonic oscillators. We resolve the Schr\"{o}dinger equation by using time-dependent Euler rotation together with a linear quench model to obtain the state of vacuum solution. Such state can be translated to the phase space picture to determine the Wigner distribution. We show that its Gaussian matrix $\mathbb{G}(t)$ can be used to directly cast the covariance matrix $\sigma(t)$. To quantify the mixedness and entanglement of the state one uses respectively linear and von Neumann entropies for three cases: fully symmetric, bi-symmetric and fully non symmetric. Then we determine the coherence, tripartite entanglement and local uncertainties and derive their dynamics. We show that the dynamics of all quantum information quantities are driven by the Ermakov modes. Finally, we use an homodyne detection to redistribute both resources of entanglement and coherence.

Related papers

Quantum Chaos, Randomness and Universal Scaling of Entanglement in Various Krylov Spaces [0.0]
We derive an analytical expression for the time-averaged quantum Fisher information (QFI) that applies to all quantum chaotic systems governed by Dyson's ensembles. Our approach integrates concepts of randomness, multipartite entanglement and quantum chaos.
arXiv Detail & Related papers (2024-07-16T15:11:20Z)
Quantum many-body spin ratchets [0.0]
We show that breaking of space-reflection symmetry results in a drift in the dynamical spin susceptibility. We also show that the scaled cumulant generating function of the time-integrated current instead obeys a generalized fluctuation relation.
arXiv Detail & Related papers (2024-06-03T17:51:36Z)
On the entanglement of co-ordinate and momentum degrees of freedom in noncommutative space [0.0]
We investigate the quantum entanglement induced by phase-space noncommutativity. The entanglement properties of coordinate and momentum degrees of freedom are studied. We show that the mere inclusion of non-commutativity of phase-space is not sufficient to generate the entanglement.
arXiv Detail & Related papers (2024-01-05T18:43:47Z)
Third quantization of open quantum systems: new dissipative symmetries and connections to phase-space and Keldysh field theory formulations [77.34726150561087]
We reformulate the technique of third quantization in a way that explicitly connects all three methods. We first show that our formulation reveals a fundamental dissipative symmetry present in all quadratic bosonic or fermionic Lindbladians. For bosons, we then show that the Wigner function and the characteristic function can be thought of as ''wavefunctions'' of the density matrix.
arXiv Detail & Related papers (2023-02-27T18:56:40Z)
Thermal equilibrium in Gaussian dynamical semigroups [77.34726150561087]
We characterize all Gaussian dynamical semigroups in continuous variables quantum systems of n-bosonic modes which have a thermal Gibbs state as a stationary solution. We also show that Alicki's quantum detailed-balance condition, based on a Gelfand-Naimark-Segal inner product, allows the determination of the temperature dependence of the diffusion and dissipation matrices.
arXiv Detail & Related papers (2022-07-11T19:32:17Z)
On the two-dimensional time-dependent anisotropic harmonic oscillator in a magnetic field [0.0]
We have considered a two-dimensional anisotropic harmonic oscillator placed in a time-dependent magnetic field. An orthonormal basis of the Hilbert space consisting of the eigenvectors of $hatmathcalI$ is obtained. Separability Criterion for the bipartite coherent states corresponding to our system has been demonstrated.
arXiv Detail & Related papers (2022-06-30T17:19:09Z)
Simultaneous Transport Evolution for Minimax Equilibria on Measures [48.82838283786807]
Min-max optimization problems arise in several key machine learning setups, including adversarial learning and generative modeling. In this work we focus instead in finding mixed equilibria, and consider the associated lifted problem in the space of probability measures. By adding entropic regularization, our main result establishes global convergence towards the global equilibrium.
arXiv Detail & Related papers (2022-02-14T02:23:16Z)
Intrinsic decoherence dynamics in the three-coupled harmonic oscillators interaction [77.34726150561087]
We give an explicit solution for the complete equation, i.e., beyond the usual second order approximation used to arrive to the Lindblad form.
arXiv Detail & Related papers (2021-08-01T02:36:23Z)
Stochastic Path Integral Analysis of the Continuously Monitored Quantum Harmonic Oscillator [0.0]
We deduce the evolution equations for position and momentum expectation values and the covariance matrix elements from the system's characteristic function. Our results provide insights into the time dependence of the system during the measurement process, motivating their importance for quantum measurement engine/refrigerator experiments.
arXiv Detail & Related papers (2021-03-10T15:04:49Z)
The Connection between Discrete- and Continuous-Time Descriptions of Gaussian Continuous Processes [60.35125735474386]
We show that discretizations yielding consistent estimators have the property of invariance under coarse-graining' This result explains why combining differencing schemes for derivatives reconstruction and local-in-time inference approaches does not work for time series analysis of second or higher order differential equations.
arXiv Detail & Related papers (2021-01-16T17:11:02Z)
Dissipative flow equations [62.997667081978825]
We generalize the theory of flow equations to open quantum systems focusing on Lindblad master equations. We first test our dissipative flow equations on a generic matrix and on a physical problem with a driven-dissipative single fermionic mode.
arXiv Detail & Related papers (2020-07-23T14:47:17Z)

This list is automatically generated from the titles and abstracts of the papers in this site.