Reduced Equations of Motion for Quantum Systems Driven by Diffusive Markov Processes

Sarovar, Mohan; Grace, Matthew D.

doi:10.1103/PhysRevLett.109.130401

Title: Reduced Equations of Motion for Quantum Systems Driven by Diffusive Markov Processes

Full Record
Other Related Research

Authors:: Sarovar, Mohan; Grace, Matthew D.

Publication Date:: Mon Sep 24 00:00:00 EDT 2012

Sponsoring Org.:: USDOE

OSTI Identifier:: 1103388

Resource Type:: Publisher's Accepted Manuscript

Journal Name:: Physical Review Letters

Additional Journal Information:: Journal Volume: 109; Journal Issue: 13; Journal ID: ISSN 0031-9007

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Citation Formats


                    Sarovar, Mohan, and Grace, Matthew D. Reduced Equations of Motion for Quantum Systems Driven by Diffusive Markov Processes.  United States: N. p., 2012. 
Web.  doi:10.1103/PhysRevLett.109.130401.

Copy to clipboard


                    Sarovar, Mohan, & Grace, Matthew D. Reduced Equations of Motion for Quantum Systems Driven by Diffusive Markov Processes.  United States.  https://doi.org/10.1103/PhysRevLett.109.130401

Copy to clipboard


                    Sarovar, Mohan, and Grace, Matthew D. Mon .  
"Reduced Equations of Motion for Quantum Systems Driven by Diffusive Markov Processes".  United States.  https://doi.org/10.1103/PhysRevLett.109.130401.

Copy to clipboard


                    
@article{osti_1103388,

  title        = {Reduced Equations of Motion for Quantum Systems Driven by Diffusive Markov Processes},

  author       = {Sarovar, Mohan and Grace, Matthew D.},

  abstractNote = {},

  doi          = {10.1103/PhysRevLett.109.130401},

  journal      = {Physical Review Letters},

  number       = 13,

  volume       = 109,

  place        = {United States},

  year         = {Mon Sep 24 00:00:00 EDT 2012},

  month        = {Mon Sep 24 00:00:00 EDT 2012}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

Accepted Manuscript (Publisher)

Publisher's Version of Record
https://doi.org/10.1103/PhysRevLett.109.130401

Other availability

Search WorldCat to find libraries that may hold this journal

Citation Metrics:

Cited by: 8 works

Citation information provided by
Web of Science

Save / Share:

Export Metadata

Save to My Library

Similar Records in DOE PAGES and OSTI.GOV collections:

Reduced equations of motion for quantum systems driven by diffusive Markov processes.

Journal Article Sarovar, Mohan ; Grace, Matthew - Proposed for publication in Physical Review Letters.
https://doi.org/10.1103/PhysRevLett.109.130401
Efficient simulation of quantum systems driven by diffusive Markov processes.

Conference Sarovar, Mohan ; Grace, Matthew
Equation of motion for the process matrix: Hamiltonian identification and dynamical control of open quantum systems

Journal Article Mohseni, M ; Rezakhani, A T - Physical Review. A

We develop a general approach for monitoring and controlling evolution of open quantum systems. In contrast to the master equations describing time evolution of density operators, here, we formulate a dynamical equation for the evolution of the process matrix acting on a system. This equation is applicable to non-Markovian and/or strong-coupling regimes. We propose two distinct applications for this dynamical equation. We first demonstrate identification of quantum Hamiltonians generating dynamics of closed or open systems via performing process tomography. In particular, we argue how one can efficiently estimate certain classes of sparse Hamiltonians by performing partial tomography schemes. In addition,more »« less
https://doi.org/10.1103/PHYSREVA.80.010101
Reduced equations of motion and reduced S matrix for scattering processes

Journal Article Mukamel, S - J. Chem. Phys.; (United States)

Reduced equations of motion (REM) are derived for the reduced density matrix of some of the degrees of freedom taking part in a scattering process. The derivation is made making use of the Zwanzig--Mori projection operator technique and utilizing a partial time ordering prescription (POP) which results in simple REM which contain no convolution in time. The present formulation is convenient for the direct calculation of reduced information on scattering events since it avoids the necessity of calculating the complete S matrix. The entire dynamical information relevant for the present description is expressed in terms of a hierarchy of correlationmore »« less
https://doi.org/10.1063/1.441817
Reduced quantum dynamics with arbitrary bath spectral densities: Hierarchical equations of motion based on several different bath decomposition schemes

Journal Article Liu, Hao ; Zhu, Lili ; Bai, Shuming ; ... - Journal of Chemical Physics

We investigated applications of the hierarchical equation of motion (HEOM) method to perform high order perturbation calculations of reduced quantum dynamics for a harmonic bath with arbitrary spectral densities. Three different schemes are used to decompose the bath spectral density into analytical forms that are suitable to the HEOM treatment: (1) The multiple Lorentzian mode model that can be obtained by numerically fitting the model spectral density. (2) The combined Debye and oscillatory Debye modes model that can be constructed by fitting the corresponding classical bath correlation function. (3) A new method that uses undamped harmonic oscillator modes explicitly inmore »« less
https://doi.org/10.1063/1.4870035

Similar Records