Dynamics of an electric dipole moment in a stochastic electric field

Band, Yehuda B.

doi:10.1103/physreve.88.022127

Cited by 4 publications

(1 citation statement)

References 18 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This yields a reduced nonunitary dynamics wherein the averaged dipole moment and angular momentum decohere in time. This approach was recently used to treat decoherence of spin systems caused by an environment [4] and the decoherence of systems with a permanent dipole moment [5]. The physical properties of the environment determine the statistical properties of E B (t), which in turn determine the type of stochastic process ε(t).…”

Section: Introductionmentioning

confidence: 99%

Molecules with an induced dipole moment in a stochastic electric field

Band

Ben-Shimol

2013

Phys. Rev. E

Self Cite

View full text Add to dashboard Cite

The mean-field dynamics of a molecule with an induced dipole moment (e.g., a homonuclear diatomic molecule) in a deterministic and a stochastic (fluctuating) electric field is solved to obtain the decoherence properties of the system. The average (over fluctuations) electric dipole moment and average angular momentum as a function of time for a Gaussian white noise electric field are determined via perturbative and nonperturbative solutions in the fluctuating field. In the perturbative solution, the components of the average electric dipole moment and the average angular momentum along the deterministic electric field direction do not decay to zero, despite fluctuations in all three components of the electric field. This is in contrast to the decay of the average over fluctuations of a magnetic moment in a stochastic magnetic field with a Gaussian white noise magnetic field in all three components. In the nonperturbative solution, the component of the average electric dipole moment and the average angular momentum in the deterministic electric field direction also decay to zero.

show abstract

Section: Introductionmentioning

confidence: 99%

Molecules with an induced dipole moment in a stochastic electric field

Band

Ben-Shimol

2013

Phys. Rev. E

Self Cite

View full text Add to dashboard Cite

show abstract

Open quantum system stochastic dynamics with and without the RWA

Band

2015

J. Phys. B: At. Mol. Opt. Phys.

View full text Add to dashboard Cite

We study the dynamics of a two-level quantum system interacting with a single frequency electromagnetic field and a stochastic magnetic field, with and without making the rotating wave approximation (RWA). The transformation to the rotating frame does not commute with the stochastic Hamiltonian if the stochastic field has nonvanishing components in the transverse direction, hence, applying the RWA requires transformation of the stochastic terms in the Hamiltonian. For Gaussian white noise, the master equation is derived from the stochastic Schrödinger-Langevin equations, with and without the RWA. With the RWA, the master equation for the density matrix has Lindblad terms with coefficients that are time-dependent (i.e., the master equation is time-local). An approximate analytic expression for the density matrix is obtained with the RWA. For Ornstein-Uhlenbeck noise, as well as other types of colored noise, in contradistinction to the Gaussian white noise case, the non-commutation of the RWA transformation and the noise Hamiltonian can significantly affect the RWA dynamics when ωτcorr 1, where ω is the electromagnetic field frequency and τcorr is the stochastic magnetic field correlation time.

show abstract

Nonlinear dynamics of dipoles in microtubules: Pseudospin model

et al. 2016

View full text Add to dashboard Cite

We perform a theoretical study of the dynamics of the electric field excitations in a microtubule by taking into consideration the realistic cylindrical geometry, dipole-dipole interactions of the tubulin-based protein heterodimers, the radial electric field produced by the solvent, and a possible degeneracy of energy states of individual heterodimers. The consideration is done in the frames of the classical pseudo-spin model. We derive the system of nonlinear dynamical ordinary differential equations of motion for interacting dipoles, and the continuum version of these equations. We obtain the solutions of these equations in the form of snoidal waves, solitons, kinks, and localized spikes. Our results will help to a better understanding of the functional properties of microtubules including the motor protein dynamics and the information transfer processes. Our considerations are based on classical dynamics. Some speculations on the role of possible quantum effects are also made.

show abstract

Dynamics of an electric dipole moment in a stochastic electric field

Cited by 4 publications

References 18 publications

Molecules with an induced dipole moment in a stochastic electric field

Molecules with an induced dipole moment in a stochastic electric field

Open quantum system stochastic dynamics with and without the RWA

Nonlinear dynamics of dipoles in microtubules: Pseudospin model

Contact Info

Product

Resources

About